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 Short Title: Adv. Nonlinear Stud. Publisher: De Gruyter, Berlin ISSN: 1536-1365; 2169-0375/e Online: http://www.degruyter.com/view/j/ans?rskey=22StwJ&format=PAPhttp://www.advancednonlinearstudies.com/ANLS_ArticleListing.html Comments: Indexed cover-to-cover
 Documents Indexed: 818 Publications (since 2001) References Indexed: 659 Publications with 12,174 References.
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#### Authors

 20 Papageorgiou, Nikolaos S. 15 Lu, Guozhen 14 Rădulescu, Vicenţiu D. 12 López-Gómez, Julián 11 Bahri, Abbas 11 Do Ó, João M. Bezerra 10 Alves, Claudianor Oliveira 10 Llibre, Jaume 9 Rossi, Julio Daniel 9 Valls Anglés, Cláudia 9 Zanolin, Fabio 8 Véron, Laurent 8 Wang, Zhi-Qiang 7 Abdellaoui, Boumediene 7 Benci, Vieri 7 Dancer, Edward Norman 7 Figueiredo, Giovany Malcher 7 Micheletti, Anna Maria 7 Miyagaki, Olimpio Hiroshi 7 Squassina, Marco 7 Yang, Jianfu 6 Arcoya, David 6 Boccardo, Lucio 6 Chtioui, Hichem 6 Fonda, Alessandro 6 Galaktionov, Victor Aleksandrovich 6 Guo, Yuxia 6 Liu, Xiangqing 6 Long, Yiming 6 Mawhin, Jean L. 6 Solimini, Sergio 6 Suárez, Antonio 5 Badiale, Marino 5 Bidaut-Veron, Marie-Françoise 5 Candela, Anna Maria 5 Clapp, Mónica 5 García-Melián, Jorge 5 Ghoussoub, Nassif A. 5 Lam, Nguyen 5 Le, Dung 5 Maia, Liliane A. 5 Mugnai, Dimitri 5 Omari, Pierpaolo 5 Peral Alonso, Ireneo 5 Pucci, Patrizia 5 Rabinowitz, Paul Henry 5 Schmitt, Klaus 5 Sciunzi, Berardino 5 Torres, Pedro José 5 Zampogni, Luca 4 Ambrosetti, Antonio 4 Bartolo, Rossella 4 Bereanu, Cristian 4 Boscaggin, Alberto 4 Calamai, Alessandro 4 Caraballo Garrido, Tomás 4 Carl, Siegfried 4 Chen, Lu 4 Colorado, Eduardo 4 Delgado, Manuel 4 Deng, Yinbin 4 Dolbeault, Jean 4 Furtado, Marcelo Fernandes 4 Gan, Zaihui 4 García-Huidobro, Marta 4 Gasiński, Leszek 4 Abreu Goncalves, Jose Valdo 4 Jebelean, Petru 4 Le, Vy Khoi 4 Masiello, Antonio 4 Molica Bisci, Giovanni 4 Orsina, Luigi 4 Ortega, Rafael 4 Pistoia, Angela 4 Real Anguas, José 4 Sreenadh, Konijeti 4 Tang, Hanli 4 Tang, Xianhua 4 Toscano, Luisa 4 Wang, Wei 4 Zhang, Meirong 4 Zhang, Zhijun 3 Ambrosio, Vincenzo 3 Baraket, Sami 3 Barreira, Luis Manuel 3 Battelli, Flaviano 3 Ben Ayed, Mohamed 3 Benevieri, Pierluigi 3 Bueno, Hamilton P. 3 Cerami, Giovanna 3 Chen, Xiuqing 3 Sobreira de Araujo Corrêa, Francisco Julio 3 Guedes de Figueiredo, Djairo 3 Devillanova, Giuseppe 3 Esteban, Maria J. 3 Furi, Massimo 3 Gamara, Najoua 3 Garcia-Azorero, Jesús 3 Ghimenti, Marco G. 3 Giannoni, Fabio ...and 850 more Authors
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#### Fields

 609 Partial differential equations (35-XX) 129 Global analysis, analysis on manifolds (58-XX) 125 Ordinary differential equations (34-XX) 93 Operator theory (47-XX) 80 Dynamical systems and ergodic theory (37-XX) 60 Differential geometry (53-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 32 Functional analysis (46-XX) 19 Real functions (26-XX) 18 Mechanics of particles and systems (70-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Integral equations (45-XX) 13 Biology and other natural sciences (92-XX) 12 Fluid mechanics (76-XX) 12 Quantum theory (81-XX) 10 Measure and integration (28-XX) 8 Potential theory (31-XX) 8 Algebraic topology (55-XX) 6 Difference and functional equations (39-XX) 6 Manifolds and cell complexes (57-XX) 6 Numerical analysis (65-XX) 5 General topology (54-XX) 5 Mechanics of deformable solids (74-XX) 4 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

625 Publications have been cited 4,556 times in 3,642 Documents Cited by Year
Non-existence results for the coupled Klein-Gordon-Maxwell equations. Zbl 1142.35406
D’Aprile, Teresa; Mugnai, Dimitri
2004
Nonlinear nonhomogeneous Robin problems with superlinear reaction term. Zbl 1352.35021
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2016
On concentration of positive bound states for the Schrödinger-Poisson problem with potentials. Zbl 1216.35138
Ianni, Isabella; Vaira, Giusi
2008
Ground states and bound states of a nonlinear Schrödinger system. Zbl 1198.35067
Liu, Zhaoli; Wang, Zhi-Qiang
2010
Concentrating bound states for Kirchhoff type problems in $${\mathbb R}^3$$ involving critical Sobolev exponents. Zbl 1305.35033
He, Yi; Li, Gongbao; Peng, Shuangjie
2014
Back to the Keller-Osserman condition for boundary blow-up solutions. Zbl 1137.35030
Dumont, Serge; Dupaigne, Louis; Goubet, Olivier; Rădulescu, Vicentiu
2007
On the Ambrosetti-Rabinowitz superlinear condition. Zbl 1113.35048
Liu, Zhaoli; Wang, Zhi-Qiang
2004
Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity. Zbl 1334.35407
Zhang, Jianjun; do Ó, João Marcos; Squassina, Marco
2016
Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations. Zbl 1007.35090
d’Avenia, Pietro
2002
New super-quadratic conditions on ground state solutions for superlinear Schrödinger function. Zbl 1305.35036
Tang, X. H.
2014
Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211
Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien
2007
Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103
Amann, H.
2004
Multiplicity results for the supercritical Hénon equation. Zbl 1113.35047
2004
Existence and stability of standing waves for Schrödinger-Poisson-Slater equation. Zbl 1133.35013
Kikuchi, Hiroaki
2007
Kirchhoff-Hardy fractional problems with lack of compactness. Zbl 1375.35180
Fiscella, Alessio; Pucci, Patrizia
2017
Existence and multiplicity of solutions for Neumann $$p$$-Laplacian-type equations. Zbl 1169.35028
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2008
A note on Berestycki-Cazenave’s classical instability result for nonlinear Schrödinger equations. Zbl 1156.35092
Le Coz, Stefan
2008
Positive and nodal solutions for a nonlinear Schrödinger equation with indefinite potential. Zbl 1168.35433
Furtado, Marcelo F.; Maia, Liliane A.; Medeiros, Everaldo S.
2008
A nonhomogeneous fractional $$p$$-Kirchhoff type problem involving critical exponent in $$\mathbb{R}^N$$. Zbl 1372.35348
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2017
Multiplicity of positive solutions for a quasilinear problem in $$\mathbb R^N$$ via penalization method. Zbl 1210.35086
Alves, Claudianor O.; Figueiredo, Giovany M.
2005
Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. Zbl 1263.34028
Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo
2012
A modified test function method for damped wave equations. Zbl 1293.35176
D’Abbicco, Marcello; Lucente, Sandra
2013
$$N$$-Laplacian equations in $$\mathbb R^N$$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
2013
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
2013
Periodic solutions of a singular equation with indefinite weight. Zbl 1232.34064
Bravo, José Luis; Torres, Pedro J.
2010
Unique strong solutions and $$V$$-attractors of a three dimensional system of globally modified Navier-Stokes equations. Zbl 1220.35115
Caraballo, Tomás; Real, José; Kloeden, Peter E.
2006
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Multiple solitary waves for a non-homogeneous Schrödinger-Maxwell system in $$\mathbb R^3$$. Zbl 1229.35065
Salvatore, A.
2006
A smooth pseudo-gradient for the Lagrangian action functional. Zbl 1185.37145
Abbondandolo, Alberto; Schwarz, Matthias
2009
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1182.26031
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella
2009
Borderline variational problems involving fractional Laplacians and critical singularities. Zbl 1336.35357
Ghoussoub, Nassif; Shakerian, Shaya
2015
Approximation results for a general class of Kantorovich type operators. Zbl 1305.41027
Vinti, Gianluca; Zampogni, Luca
2014
Positive solutions of an indefinite prescribed mean curvature problem on a general domain. Zbl 1137.35035
Habets, Patrick; Omari, Pierpaolo
2004
Classical and non-classical sign-changing solutions of an one-dimensional autonomous prescribed curvature equation. Zbl 1140.34322
Obersnel, Franco
2007
On the symmetry of the ground states of nonlinear Schrödinger equation with potential. Zbl 1223.35133
Maeda, Masaya
2010
On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hills’s equations. Zbl 1069.34024
Papini, Duccio; Zanolin, Fabio
2004
Remarks on the 2-dimensional $$L_p$$-Minkowski problem. Zbl 1203.37102
Jiang, Mei-Yue
2010
Existence and multiplicity of solution for a class of quasilinear equations. Zbl 1210.35099
Alves, Claudianor O.
2005
Some existence results on nontrivial solutions of the prescribed mean curvature equation. Zbl 1158.53335
Le, Vy Khoi
2005
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
2017
Variational methods on finite dimensional Banach spaces and discrete problems. Zbl 1312.39002
Bonanno, Gabriele; Candito, Pasquale; D’Aguí, Giuseppina
2014
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
2017
Multiple solutions to $$(p,q)$$-Laplacian problems with resonant concave nonlinearity. Zbl 1333.35080
Marano, Salvatore A.; Mosconi, Sunra J. N.; Papageorgiou, Nikolaos S.
2016
Removable singularities and existence for a quasilinear equation with absorption or source term and measure data. Zbl 1173.35503
Bidaut-Véron, Marie Françoise
2003
Periodic solutions of equations of Emarkov-Pinney type. Zbl 1107.34037
Zhang, Meirong
2006
Necessary and sufficient conditions for extinction of one species. Zbl 1091.34028
Tineo, Antonio
2005
Compactness of minimizing sequences in nonlinear Schrödinger systems under multiconstraint conditions. Zbl 1297.35218
Ikoma, Norihisa
2014
On the diffeomorphisms between Banach and Hilbert spaces. Zbl 1244.57056
Idczak, Dariusz; Skowron, Andrzej; Walczak, Stanislaw
2012
Invariant curves of mappings with averaged small twist. Zbl 1136.37336
Ortega, Rafael
2001
Asymptotic estimates and qualitative properties of an elliptic problem in dimension two. Zbl 1065.35112
El Mehdi, Khalil; Grossi, Massimo
2004
Symmetrization and mass comparison for degenerate nonlinear parabolic and related elliptic equations. Zbl 1085.35083
Vázquez, Juan Luis
2005
Critical nonlocal systems with concave-convex powers. Zbl 06642517
Chen, Wenjing; Squassina, Marco
2016
Periodic solutions of singular nonlinear perturbations of the ordinary $$p$$-Laplacian. Zbl 1032.34039
Jebelean, P.; Mawhin, J.
2002
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
2009
A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type. Zbl 1106.35025
Felli, Veronica; Schneider, Matthias
2003
Comparison and existence results for classes of nonlinear elliptic equations with general growth in the gradient. Zbl 1378.35119
Ferone, Vincenzo; Messano, Basilio
2007
Existence and uniqueness of positive large solutions to some cooperative elliptic systems. Zbl 1045.35025
García-Melián, Jorge; Suárez, Antonio
2003
Improved Moser-Trudinger inequality involving $$L^p$$ norm in $$n$$ dimensions. Zbl 1315.35012
Zhu, Jiuyi
2014
Pullback attractors for 2D Navier-Stokes equations with delays and their regularity. Zbl 1304.35117
García-Luengo, Julia; Marín-Rubio, Pedro; Real, José
2013
On the Brezis-Nirenberg problem with a Kirchhoff type perturbation. Zbl 1317.35080
Naimen, Daisuke
2015
A seven-positive-solutions theorem for a superlinear problem. Zbl 1067.34022
Gaudenzi, Marcellino; Habets, Patrick; Zanolin, Fabio
2004
Maslov-type index theory for symplectic paths with Lagrangian boundary conditions. Zbl 1147.53064
Liu, Chungen
2007
Large solutions for a class of nonlinear elliptic equations with gradient terms. Zbl 1156.35030
Leonori, Tommaso
2007
On nonuniformly subelliptic equations of $$Q$$-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2012
Concentration-compactness principle of singular Trudinger-Moser inequalities in $$\mathbb{R}^n$$ and $$n$$-Laplace equations. Zbl 1397.35117
Zhang, Caifeng; Chen, Lu
2018
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155
Hajaiej, H.; Stuart, C. A.
2004
Three weak solutions for nonlocal fractional equations. Zbl 1317.35279
Molica Bisci, Giovanni; Pansera, Bruno Antonio
2014
The prescribed scalar curvature on a 3-dimensional CR manifold. Zbl 1019.53015
Gamara, Najoua
2002
Twist solutions of a Hill’s equation with singular term. Zbl 1016.34044
Torres, Pedro J.
2002
Existence and regularity results for anisotropic elliptic problems. Zbl 1181.35084
Di Castro, Agnese
2009
A note on a mountain pass characterization of least energy solutions. Zbl 1095.35006
Jeanjean, Louis; Tanaka, Kazunaga
2003
Non-simultaneous blow-up in a nonlinear parabolic system. Zbl 1060.35056
Quirós, Fernando; Rossi, Julio D.
2003
A note on the Schrödinger-Poisson-Slater equation on bounded domains. Zbl 1160.35020
Ruziz, David; Siciliano, Gaetano
2008
Best constants for Adams’ inequalities with the exact growth condition in $${\mathbb R}^n$$. Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
2015
Symmetric joins and weighted barycenters. Zbl 1228.55009
2011
Asymptotic profile for a fourth order PDE with critical exponential growth in dimension four. Zbl 1113.35053
Robert, Frédéric; Struwe, Michael
2004
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
2016
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091
Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S.
2017
Solitary waves with non-vanishing angular momentum. Zbl 1030.35051
Benci, Vieri; Visciglia, Nicola
2003
Symmetry of $$C^1$$ solutions of $$p$$-Laplace equations in $$\mathbb{R}^N$$. Zbl 0998.35016
Damascelli, Lucio; Ramaswamy, Mythily
2001
Fujita’s exponent for a semilinear wave equation with linear damping. Zbl 1056.35020
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Prescribing the scalar curvature problem on three and four manifolds. Zbl 1051.53031
Chtioui, Hichem
2003
Subharmonic solutions of planar Hamiltonian systems: a rotation number approach. Zbl 1229.37048
Boscaggin, Alberto
2011
Periodic orbits of radially symmetric systems with a singularity: the repulsive case. Zbl 1241.34048
2011
Non-radial maximizers for functionals with exponential nonlinearity in $$\mathbb R ^2$$. Zbl 1096.35041
Calanchi, Marta; Terraneo, Elide
2005
The Dirichlet problem with mean curvature operator in Minkowski space – a variational approach. Zbl 1305.35030
Bereanu, C.; Jebelean, P.; Mawhin, J.
2014
Least energy solutions for nonlinear Schrödinger systems with mixed attractive and repulsive couplings. Zbl 1316.35269
Sato, Yohei; Wang, Zhi-Qiang
2015
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
2017
The uniqueness of weak solutions of the globally modifed Navier-Stokes equations. Zbl 1181.35178
Romito, Marco
2009
Multiple solutions for perturbed elliptic equations in unbounded domains. Zbl 1221.35400
Salvatore, A.
2003
Isolated singularities of solutions of quasilinear anisotropic elliptic equations. Zbl 1154.35349
Namlyeyeva, Yuliya V.; Shishkov, Andrey E.; Skrypnik, Igor I.
2006
On existence of $$L^\infty$$-ground states for singular elliptic equations in the presence of a strongly nonlinear term. Zbl 1142.35030
Goncalves, J. V.; Melo, A. L.; Santos, C. A.
2007
Solitary waves in Abelian gauge theories. Zbl 1157.58005
Benci, Vieri; Fortunato, Donato
2008
Existence of two solutions for a second-order discrete boundary value problem. Zbl 1222.39005
Candito, Pasquale; Molica Bisci, Giovanni
2011
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in $$\mathbb{R}^4$$. Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
2018
On the existence of the fundamental eigenvalue of an elliptic problem in $$\mathbb R^N$$. Zbl 1136.47040
Bellazzini, J.; Benci, V.; Ghimenti, M.; Micheletti, A. M.
2007
Entire solutions to nonlinear scalar field equations with indefinite linear part. Zbl 1260.35067
Evéquoz, Gilles; Weth, Tobias
2012
Multiplicity and concentration of positive solutions for a class of quasilinear problems. Zbl 1231.35006
Alves, Claudianor O.; Figueiredo, Giovany M.
2011
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
Nonlinear problems with $$p(\cdot)$$-growth conditions and applications to antiplane contact models. Zbl 1301.35044
Boureanu, Maria-Magdalena; Matei, Andaluzia; Sofonea, Mircea
2014
Regularity properties for a class of non-uniformly elliptic Isaacs operators. Zbl 1437.35294
Ferrari, Fausto; Vitolo, Antonio
2020
A critical point theorem for perturbed functionals and low perturbations of differential and nonlocal systems. Zbl 1447.35158
Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Winkert, Patrick
2020
Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups. Zbl 1450.46021
Flynn, Joshua
2020
The $$\varepsilon - \varepsilon^\beta$$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets. Zbl 1445.49022
Pratelli, Aldo; Saracco, Giorgio
2020
Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential. Zbl 07232942
López-Gómez, Julián; Omari, Pierpaolo
2020
Coron problem for nonlocal equations involving Choquard nonlinearity. Zbl 1437.35234
Goel, Divya; Rădulescu, Vicenţiu D.; Sreenadh, K.
2020
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Zbl 1465.35065
Winkler, Michael
2020
Quasilinear Riccati-type equations with oscillatory and singular data. Zbl 1439.31010
Nguyen, Quoc-Hung; Phuc, Nguyen Cong
2020
Ground state solutions for the nonlinear Schrödinger-Bopp-Podolsky system with critical Sobolev exponent. Zbl 1453.35079
Li, Lin; Pucci, Patrizia; Tang, Xianhua
2020
Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates. Zbl 1445.35308
Mancini, Gabriele; Martinazzi, Luca
2020
Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior. Zbl 1436.35128
Zhang, Zhijun
2020
Protection zones in periodic-parabolic problems. Zbl 1442.35182
López-Gómez, Julián
2020
Fast and slow decaying solutions of Lane-Emden equations involving nonhomogeneous potential. Zbl 1437.35332
Chen, Huyuan; Huang, Xia; Zhou, Feng
2020
On the two-phase fractional Stefan problem. Zbl 1434.80006
del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis
2020
Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term. Zbl 1454.35223
Nguyen Anh Dao; Díaz, Jesus Ildefonso; Nguyen, Quan Ba Hong
2020
New results about the lambda constant and ground states of the $$W$$-functional. Zbl 1445.53027
Ma, Li
2020
Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian. Zbl 1445.35164
Feng, Zhenping; Du, Zhuoran
2020
A Morse lemma for degenerate critical points of solutions of nonlinear equations in $$\mathbb{R}^2$$. Zbl 1440.35164
Grossi, Massimo
2020
Non-local degenerate diffusion coefficients break down the components of positive solutions. Zbl 1437.35293
Delgado, M.; Morales-Rodrigo, C.; Júnior, J. R. Santos; Suárez, A.
2020
A new singular Trudinger-Moser type inequality with logarithmic weights and applications. Zbl 1445.46034
Aouaoui, Sami; Jlel, Rahma
2020
Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities. Zbl 1432.35221
Guo, Yuxia; Liu, Ting; Nie, Jianjun
2020
Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation. Zbl 1415.35288
Zhang, Caifeng
2019
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Zbl 1420.35397
Mandel, Rainer
2019
Shadowing for nonautonomous dynamics. Zbl 1418.37044
Backes, Lucas; Dragičević, Davor
2019
Nonlinear scalar field equations with $$L^2$$ constraint: mountain pass and symmetric mountain pass approaches. Zbl 1421.35152
Hirata, Jun; Tanaka, Kazunaga
2019
The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions. Zbl 1415.35016
Fernández-Rincón, Sergio; López-Gómez, Julián
2019
Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations. Zbl 1412.35365
Ambrosio, Vincenzo; Figueiredo, Giovany M.; Isernia, Teresa; Molica Bisci, Giovanni
2019
Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem. Zbl 1425.35068
López-Gómez, Julian; Omari, Pierpaolo
2019
Existence of three positive solutions for a nonlocal singular Dirichlet boundary problem. Zbl 1416.35294
Giacomoni, Jacques; Mukherjee, Tuhina; Sreenadh, Konijeti
2019
Fractional perimeters from a fractal perspective. Zbl 1412.28008
Lombardini, Luca
2019
Ground state solutions for quasilinear Schrödinger equations with critical growth and lower power subcritical perturbation. Zbl 1418.35096
Deng, Yinbin; Huang, Wentao; Zhang, Shen
2019
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
2019
An abstract linking theorem applied to indefinite problems via spectral properties. Zbl 1425.35023
Maia, Liliane A.; Soares, Mayra
2019
Infinitely many solutions for a non-homogeneous differential inclusion with lack of compactness. Zbl 1420.35082
Ge, Bin; Rădulescu, Vicenţiu D.
2019
Parabolic biased infinity Laplacian equation related to the biased tug-of-war. Zbl 1412.35163
Liu, Fang; Jiang, Feida
2019
On nodal solutions of the nonlinear Choquard equation. Zbl 1427.35051
Gui, Changfeng; Guo, Hui
2019
Multiple closed geodesics on positively curved Finsler manifolds. Zbl 1428.53050
Wang, Wei
2019
The $$E$$-cohomological Conley index, cup-lengths and the Arnold conjecture on $$T^{2n}$$. Zbl 1422.37034
Starostka, Maciej; Waterstraat, Nils
2019
Ground States of a $$\mathrm{K}$$-component critical system with linear and nonlinear couplings: the attractive case. Zbl 1426.35116
Wu, Yuanze
2019
Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities. Zbl 1422.34139
Hakl, Robert; Zamora, Manuel
2019
Blow-up results for higher-order evolution differential inequalities in exterior domains. Zbl 1419.35258
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Sign-changing solutions of fractional $$p$$-Laplacian problems. Zbl 1418.35145
Chang, Xiaojun; Nie, Zhaohu; Wang, Zhi-Qiang
2019
Some remarks on the fractal structure of irrigation balls. Zbl 1412.49080
Devillanova, Giuseppe; Solimini, Sergio
2019
Asymmetric Robin problems with indefinite potential and concave terms. Zbl 1423.35122
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Branches of forced oscillations induced by a delayed periodic force. Zbl 1412.70025
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Limit configurations of Schrödinger systems versus optimal partition for the principal eigenvalue of elliptic systems. Zbl 1427.35036
Luo, Haijun; Zhang, Zhitao
2019
Fractional powers of monotone operators in Hilbert spaces. Zbl 1427.35323
Hauer, Daniel; He, Yuhan; Liu, Dehui
2019
Nonradial solutions for the Hénon equation close to the threshold. Zbl 1442.35158
Figueroa, Pablo; Neves, Sérgio L. N.
2019
Concentration-compactness principle of singular Trudinger-Moser inequalities in $$\mathbb{R}^n$$ and $$n$$-Laplace equations. Zbl 1397.35117
Zhang, Caifeng; Chen, Lu
2018
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in $$\mathbb{R}^4$$. Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
2018
Global dynamics of generalized logistic equations. Zbl 1392.35109
Daners, Daniel; López-Gómez, Julián
2018
Strong comparison principle for the fractional $$p$$-Laplacian and applications to starshaped rings. Zbl 1403.35064
Jarohs, Sven
2018
Existence of a positive solution to a nonlinear scalar field equation with zero mass at infinity. Zbl 1406.35348
Clapp, Mónica; Maia, Liliane A.
2018
Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities. Zbl 1397.35006
Dong, Mengxia
2018
Existence and multiplicity of solutions for resonant $$(p,2)$$-equations. Zbl 1386.35125
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2018
A general approximation approach for the simultaneous treatment of integral and discrete operators. Zbl 1403.41005
Vinti, Gianluca; Zampogni, Luca
2018
Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. Zbl 1397.35312
Huang, Aimin; Huo, Wenru; Jolly, Michael
2018
Optimal design problems for the first $$p$$-fractional eigenvalue with mixed boundary conditions. Zbl 1390.35217
Fernández Bonder, Julian; Rossi, Julio D.; Spedaletti, Juan F.
2018
Optimizing the fractional power in a model with stochastic PDE constraints. Zbl 06992805
Geldhauser, Carina; Valdinoci, Enrico
2018
Existence and regularizing effect of degenerate lower order terms in elliptic equations beyond the Hardy constant. Zbl 1404.35143
Arcoya, David; Molino, Alexis; Moreno-Mérida, Lourdes
2018
Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls. Zbl 1404.35140
Rybicki, Sławomir; Shioji, Naoki; Stefaniak, Piotr
2018
Prescribing Gaussian and geodesic curvature on disks. Zbl 1397.35084
Cruz-Blázquez, Sergio; Ruiz, David
2018
Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrödinger equations. Zbl 1378.35283
Wang, Youjun; Shen, Yaotian
2018
Ambrosetti-Prodi periodic problem under local coercivity conditions. Zbl 1459.34075
Sovrano, Elisa; Zanolin, Fabio
2018
Boundary singularities of solutions to semilinear fractional equations. Zbl 1392.35147
Nguyen, Phuoc-Tai; Véron, Laurent
2018
The Bahri-Coron theorem for fractional Yamabe-type problems. Zbl 1388.35064
Abdelhedi, Wael; Chtioui, Hichem; Hajaiej, Hichem
2018
Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces. Zbl 1397.35186
Yang, Minghua; Fu, Zunwei; Liu, Suying
2018
On parabolic variational inequalities with multivalued terms and convex functionals. Zbl 1388.58012
Le, Vy Khoi; Schmitt, Klaus
2018
Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation. Zbl 1392.35175
Zhang, Zhijun
2018
Symmetric and asymmetric solutions of $$p$$-Laplace elliptic equations in hollow domains. Zbl 1392.35168
Kajikiya, Ryuji
2018
On a class of quasilinear elliptic equations with degenerate coerciveness and measure data. Zbl 1392.35152
Smarrazzo, Flavia
2018
Radial nonlinear elliptic problems with singular or vanishing potentials. Zbl 1392.35128
2018
Mass and extremals associated with the Hardy-Schrödinger operator on hyperbolic space. Zbl 1407.35074
Chan, Hardy; Ghoussoub, Nassif; Mazumdar, Saikat; Shakerian, Shaya; de Oliveira Faria, Luiz Fernando
2018
Non-hyperbolic $$P$$-invariant closed characteristics on partially symmetric compact convex hypersurfaces. Zbl 1404.52005
Liu, Hui; Zhu, Gaosheng
2018
Existence of prograde double-double orbits in the equal-mass four-body problem. Zbl 1435.70030
Kuang, Wentian; Yan, Duokui
2018
Existence and multiplicity results for systems of first-order differential equations via the method of solution-regions. Zbl 1403.34023
Frigon, Marlène
2018
Singularly perturbed fractional Schrödinger equation involving a general critical nonlinearity. Zbl 1397.35277
Jin, Hua; Liu, Wenbin; Zhang, Jianjun
2018
Polynomial solutions of equivariant polynomial Abel differential equations. Zbl 1397.34006
Llibre, Jaume; Valls, Clàudia
2018
Singularly perturbed fractional Schrödinger equations with critical growth. Zbl 1397.35079
He, Yi
2018
On Lane-Emden systems with singular nonlinearities and applications to MEMS. Zbl 1387.35178
João, do Ó Marcos; Clemente, Rodrigo
2018
Klein-Gordon-Maxwell systems with nonconstant coupling coefficient. Zbl 1386.35102
Lazzo, Monica; Pisani, Lorenzo
2018
Structure results for semilinear elliptic equations with Hardy potentials. Zbl 1386.35100
Franca, Matteo; Garrione, Maurizio
2018
Kirchhoff-Hardy fractional problems with lack of compactness. Zbl 1375.35180
Fiscella, Alessio; Pucci, Patrizia
2017
A nonhomogeneous fractional $$p$$-Kirchhoff type problem involving critical exponent in $$\mathbb{R}^N$$. Zbl 1372.35348
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2017
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
2017
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
2017
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091
Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S.
2017
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
2017
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
Interior estimates for generalized Forchheimer flows of slightly compressible fluids. Zbl 1372.35030
Hoang, Luan T.; Kieu, Thinh T.
2017
$$p$$-Laplacian equations in $$\mathbb{R}^N$$ with finite potential via the truncation method. Zbl 1375.35227
Liu, Xiangqing; Zhao, Junfang
2017
Doubly critical problems involving fractional Laplacians in $$\mathbb{R}^N$$. Zbl 1376.35059
Yang, Jianfu; Wu, Fengjie
2017
Addendum to: “Local elliptic regularity for the Dirichlet fractional Laplacian”. Zbl 06791441
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
2017
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere. Zbl 1418.37103
Abbondandolo, Alberto; Asselle, Luca; Benedetti, Gabriele; Mazzucchelli, Marco; Taimanov, Iskander A.
2017
Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space. Zbl 1372.35039
Gurban, Daniela; Jebelean, Petru; Şerban, Călin
2017
Non-autonomous eigenvalue problems with variable $$(p_1,p_2)$$-growth. Zbl 1372.35205
Baraket, Sami; Chebbi, Souhail; Chorfi, Nejmeddine; Rădulescu, Vicenţiu D.
2017
Periodic impact motions at resonance of a particle bouncing on spheres and cylinders. Zbl 1371.34058
Sfecci, Andrea
2017
Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem. Zbl 1372.70038
Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng
2017
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#### Cited by 2,947 Authors

 104 Papageorgiou, Nikolaos S. 78 Tang, Xianhua 59 Rădulescu, Vicenţiu D. 50 Alves, Claudianor Oliveira 47 Lu, Guozhen 36 Figueiredo, Giovany Malcher 36 Repovš, Dušan D. 30 Ambrosio, Vincenzo 30 Miyagaki, Olimpio Hiroshi 27 Wang, Zhi-Qiang 27 Zanolin, Fabio 26 Boscaggin, Alberto 25 Benci, Vieri 24 Gasiński, Leszek 24 López-Gómez, Julián 23 Chen, Sitong 23 Chtioui, Hichem 23 Zhang, Binlin 22 Torres, Pedro José 21 Vetro, Calogero 20 Chen, Haibo 20 Chu, Jifeng 20 Liu, Chungen 20 Mawhin, Jean L. 20 Zou, Wenming 19 Mugnai, Dimitri 19 Omari, Pierpaolo 19 Rossi, Julio Daniel 19 Véron, Laurent 18 Pucci, Patrizia 18 Vinti, Gianluca 18 Yang, Minbo 17 Jeanjean, Louis 17 Siciliano, Gaetano 17 Wang, Jun 16 Candela, Anna Maria 16 Peng, Shuangjie 16 Wei, Juncheng 15 Costarelli, Danilo 15 Dragičević, Davor 15 García-Melián, Jorge 15 Ghimenti, Marco G. 15 Li, Xiong 15 Pistoia, Angela 15 Xiang, Mingqi 15 Zhang, Zhijun 14 Chen, Lu 14 Do Ó, João M. Bezerra 14 Lam, Nguyen 14 Lu, Shiping 14 Micheletti, Anna Maria 14 Saanouni, Tarek 14 Vetro, Francesca 13 Bonheure, Denis 13 Byeon, Jaeyoung 13 Da Silva, Edcarlos Domingos 13 Dolbeault, Jean 13 Ma, Ruyun 13 Xu, Junxiang 13 Zhang, Meirong 13 Zhang, Wen 13 Zhao, Fukun 12 Fiscella, Alessio 12 Llibre, Jaume 12 Zhang, Fubao 12 Zhang, Jianjun 11 Caraballo Garrido, Tomás 11 Fellner, Klemens 11 Fonda, Alessandro 11 Fortunato, Donato 11 Jebelean, Petru 11 Ji, Chao 11 Maia, Liliane A. 11 Mohammed, Ahmed 11 Pan, Hongjing 11 Salvatore, Addolorata 11 Santos, Carlos Alberto P. 11 Sun, Juntao 11 Warma, Mahamadi 11 Wu, Tsungfang 11 Zhang, Jian 11 Zhang, Jihui 11 Zhang, Zhitao 10 Boccardo, Lucio 10 Carl, Siegfried 10 Chen, Jianqing 10 Feltrin, Guglielmo 10 Gamara, Najoua 10 Grossi, Massimo 10 Kajikiya, Ryuji 10 Le, Vy Khoi 10 Liu, Weiming 10 Molica Bisci, Giovanni 10 Nguyễn Văn Hoàng 10 Obersnel, Franco 10 Qin, Dongdong 10 Sciunzi, Berardino 10 Shi, Junping 10 Squassina, Marco 10 Tang, Bao Quoc ...and 2,847 more Authors
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#### Cited in 317 Journals

 327 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 272 Journal of Mathematical Analysis and Applications 255 Journal of Differential Equations 147 Advanced Nonlinear Studies 146 Calculus of Variations and Partial Differential Equations 98 Discrete and Continuous Dynamical Systems 88 Communications on Pure and Applied Analysis 79 Journal of Mathematical Physics 66 ZAMP. Zeitschrift für angewandte Mathematik und Physik 63 NoDEA. Nonlinear Differential Equations and Applications 62 Journal of Functional Analysis 60 Nonlinear Analysis. Real World Applications 53 Applied Mathematics Letters 53 Advances in Nonlinear Analysis 52 Complex Variables and Elliptic Equations 47 Computers & Mathematics with Applications 47 Annali di Matematica Pura ed Applicata. Serie Quarta 41 Boundary Value Problems 40 Proceedings of the American Mathematical Society 39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 39 Journal of Fixed Point Theory and Applications 36 Mediterranean Journal of Mathematics 35 Communications in Contemporary Mathematics 34 Discrete and Continuous Dynamical Systems. Series B 30 Applicable Analysis 30 Discrete and Continuous Dynamical Systems. Series S 29 Applied Mathematics and Computation 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Mathematical Methods in the Applied Sciences 26 Advances in Mathematics 26 Journal of Dynamics and Differential Equations 26 Acta Mathematica Sinica. English Series 23 Nonlinearity 23 Topological Methods in Nonlinear Analysis 23 Abstract and Applied Analysis 22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Advances in Difference Equations 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 20 Archive for Rational Mechanics and Analysis 20 Milan Journal of Mathematics 19 Transactions of the American Mathematical Society 19 The Journal of Geometric Analysis 19 Journal of Function Spaces 18 Electronic Journal of Differential Equations (EJDE) 17 Rocky Mountain Journal of Mathematics 17 Monatshefte für Mathematik 16 Journal of Evolution Equations 15 Mathematische Nachrichten 15 Acta Applicandae Mathematicae 15 SIAM Journal on Mathematical Analysis 15 Science China. Mathematics 14 Manuscripta Mathematica 14 Results in Mathematics 14 Opuscula Mathematica 13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 12 Potential Analysis 11 Zeitschrift für Analysis und ihre Anwendungen 11 Revista Matemática Iberoamericana 11 Journal of Mathematical Sciences (New York) 11 Bulletin des Sciences Mathématiques 11 Taiwanese Journal of Mathematics 11 Arabian Journal of Mathematics 10 Applied Mathematics and Optimization 10 Archiv der Mathematik 10 Mathematische Annalen 10 Frontiers of Mathematics in China 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 10 Journal of Applied Analysis and Computation 9 Israel Journal of Mathematics 9 Physica D 9 Forum Mathematicum 9 Communications in Partial Differential Equations 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Analysis and Mathematical Physics 9 Journal of Elliptic and Parabolic Equations 8 Communications in Mathematical Physics 8 Mathematische Zeitschrift 8 Chinese Annals of Mathematics. Series B 8 Asymptotic Analysis 8 Annales Academiae Scientiarum Fennicae. Mathematica 8 Journal of Dynamical and Control Systems 8 Qualitative Theory of Dynamical Systems 7 Journal d’Analyse Mathématique 7 Ricerche di Matematica 7 Journal of Difference Equations and Applications 7 Journal of Inequalities and Applications 7 Discrete Dynamics in Nature and Society 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Journal of Applied Mathematics and Computing 6 Celestial Mechanics and Dynamical Astronomy 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Turkish Journal of Mathematics 6 Journal of Convex Analysis 6 Positivity 6 Journal of the European Mathematical Society (JEMS) 6 SN Partial Differential Equations and Applications 5 Journal of Computational and Applied Mathematics 5 European Journal of Applied Mathematics 5 Differential Geometry and its Applications 5 Communications in Nonlinear Science and Numerical Simulation ...and 217 more Journals
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#### Cited in 55 Fields

 2,755 Partial differential equations (35-XX) 506 Ordinary differential equations (34-XX) 324 Global analysis, analysis on manifolds (58-XX) 310 Operator theory (47-XX) 298 Dynamical systems and ergodic theory (37-XX) 179 Functional analysis (46-XX) 179 Calculus of variations and optimal control; optimization (49-XX) 168 Differential geometry (53-XX) 117 Real functions (26-XX) 88 Mechanics of particles and systems (70-XX) 82 Fluid mechanics (76-XX) 73 Quantum theory (81-XX) 57 Biology and other natural sciences (92-XX) 52 Difference and functional equations (39-XX) 52 Integral equations (45-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 42 Potential theory (31-XX) 36 Numerical analysis (65-XX) 35 Probability theory and stochastic processes (60-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Optics, electromagnetic theory (78-XX) 28 Approximations and expansions (41-XX) 28 Convex and discrete geometry (52-XX) 28 Systems theory; control (93-XX) 26 Mechanics of deformable solids (74-XX) 17 Measure and integration (28-XX) 16 Algebraic topology (55-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Topological groups, Lie groups (22-XX) 12 Manifolds and cell complexes (57-XX) 10 Functions of a complex variable (30-XX) 9 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Relativity and gravitational theory (83-XX) 8 Information and communication theory, circuits (94-XX) 7 Geophysics (86-XX) 7 Operations research, mathematical programming (90-XX) 6 History and biography (01-XX) 6 Astronomy and astrophysics (85-XX) 5 Abstract harmonic analysis (43-XX) 4 Combinatorics (05-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 1 Number theory (11-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX)