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Advances in Differential Equations

Short Title: Adv. Differ. Equ.
Publisher: Khayyam Publishing Company, Athens, OH
ISSN: 1079-9389
Online: http://projecteuclid.org/all/euclid.ade
http://aftabi.com/ade-publication/
Comments: Indexed cover-to-cover
Documents Indexed: 956 Publications (since 1996)
References Indexed: 12 Publications with 491 References.
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18, No. 9-10 (2013)
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18, No. 3-4 (2013)
18, No. 1-2 (2013)
17, No. 11-12 (2012)
17, No. 9-10 (2012)
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17, No. 3-4 (2012)
17, No. 1-2 (2012)
16, No. 11-12 (2011)
16, No. 9-10 (2011)
16, No. 7-8 (2011)
16, No. 5-6 (2011)
16, No. 3-4 (2011)
16, No. 1-2 (2011)
15, No. 11-12 (2010)
15, No. 9-10 (2010)
15, No. 7-8 (2010)
15, No. 5-6 (2010)
15, No. 3-4 (2010)
15, No. 1-2 (2010)
14, No. 11-12 (2009)
14, No. 9-10 (2009)
14, No. 7-8 (2009)
14, No. 5-6 (2009)
14, No. 3-4 (2009)
14, No. 1-2 (2009)
13, No. 11-12 (2008)
13, No. 9-10 (2008)
13, No. 7-8 (2008)
13, No. 5-6 (2008)
13, No. 3-4 (2008)
13, No. 1-2 (2008)
12, No. 12 (2007)
12, No. 11 (2007)
12, No. 10 (2007)
12, No. 9 (2007)
12, No. 8 (2007)
12, No. 7 (2007)
12, No. 6 (2007)
12, No. 5 (2007)
12, No. 4 (2007)
12, No. 3 (2007)
12, No. 2 (2007)
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11, No. 12 (2006)
11, No. 11 (2006)
11, No. 10 (2006)
11, No. 9 (2006)
11, No. 8 (2006)
11, No. 7 (2006)
11, No. 6 (2006)
11, No. 5 (2006)
11, No. 4 (2006)
11, No. 3 (2006)
...and 82 more Volumes
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Authors

10 Suzuki, Takashi
9 Bona, Jerry Lloyd
9 Galaktionov, Victor Aleksandrovich
9 García-Huidobro, Marta
7 Giga, Yoshikazu
7 Lorenzi, Alfredo
7 Manasevich, Raul F.
7 Vazquez, Juan Luis
6 Angulo Pava, Jaime
6 Dancer, Edward Norman
6 Guidetti, Davide
6 Muñoz Rivera, Jaime Edilberto
6 Senba, Takasi
5 Bidaut-Veron, Marie-Françoise
5 Chipot, Michel
5 Demengel, Françoise
5 Felmer, Patricio L.
5 Fila, Marek
5 Gazzola, Filippo
5 Nicaise, Serge
5 Perla Menzala, Gustavo Alberto
5 Prashanth, S.
5 Rakotoson, Jean-Michel
5 Winkler, Michael
5 Ziane, Mohammed
4 Antontsev, Stanislav Nikolaevich
4 Barbu, Viorel
4 Coclite, Giuseppe Maria
4 Favini, Angelo
4 Garcke, Harald
4 Goldstein, Jerome Arthur
4 Grossi, Massimo
4 Guo, Zongming
4 Ishige, Kazuhiro
4 Kukavica, Igor
4 Lasiecka, Irena
4 López-Gómez, Julián
4 Mawhin, Jean L.
4 Micheletti, Anna Maria
4 Naumkin, Pavel Ivanovich
4 Peral Alonso, Ireneo
4 Pistoia, Angela
4 Pucci, Patrizia
4 Quittner, Pavol
4 Racke, Reinhard
4 Ruiz Goldstein, Giséle
4 Rybka, Piotr
4 Schonbek, Maria Elena
4 Stavrakakis, Nikolaos M.
4 Suárez, Antonio
4 Temam, Roger Meyer
4 Triggiani, Roberto
4 Volpert, Vitaly A.
4 Yarur, Cecilia S.
3 Adimurthi, A.
3 Amann, Herbert
3 Andreucci, Daniele
3 Biler, Piotr
3 Caldiroli, Paolo
3 Camilli, Fabio
3 Cao, Daomin
3 Chabrowski, Jan H.
3 Cho, Yonggeun
3 Cingolani, Silvia
3 Colin, Mathieu
3 Conti, Monica C.
3 D’Aprile, Teresa
3 Delgado, Manuel
3 Du, Yihong
3 Duong, Xuan Thinh
3 Efendiev, Messoud
3 Fabrie, Pierre
3 Ferrero, Alberto
3 Goubet, Olivier
3 Hayashi, Nakao
3 Hebey, Emmanuel
3 Hilhorst, Danielle
3 Hsu, Shu-Yu
3 Isobe, Takeshi
3 Kabeya, Yoshitsugu
3 Kartsatos, Athanassios G.
3 Linares, Felipe
3 Lorenzi, Luca
3 Lyaghfouri, Abdeslem
3 Matsuyama, Tokio
3 Motreanu, Dumitru
3 Novick-Cohen, Amy
3 Pecher, Hartmut
3 Pilod, Didier
3 Reissig, Michael
3 Ruzhansky, Michael V.
3 Schnaubelt, Roland
3 Scialom, Marcia
3 Sinestrari, Eugenio
3 Taira, Kazuaki
3 Takáč, Peter
3 Tedeev, Anatoliĭ Fedorovich
3 Varga, Csaba György
3 Véron, Laurent
3 Warma, Mahamadi
...and 1,182 more Authors
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Fields

868 Partial differential equations (35-XX)
133 Fluid mechanics (76-XX)
116 Operator theory (47-XX)
102 Ordinary differential equations (34-XX)
67 Global analysis, analysis on manifolds (58-XX)
62 Calculus of variations and optimal control; optimization (49-XX)
51 Mechanics of deformable solids (74-XX)
45 Dynamical systems and ergodic theory (37-XX)
33 Differential geometry (53-XX)
29 Integral equations (45-XX)
29 Functional analysis (46-XX)
26 Biology and other natural sciences (92-XX)
25 Systems theory; control (93-XX)
18 Statistical mechanics, structure of matter (82-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Real functions (26-XX)
13 Numerical analysis (65-XX)
13 Mechanics of particles and systems (70-XX)
13 Optics, electromagnetic theory (78-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
10 Potential theory (31-XX)
10 Probability theory and stochastic processes (60-XX)
9 Quantum theory (81-XX)
6 Geophysics (86-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Relativity and gravitational theory (83-XX)
2 Information and communication theory, circuits (94-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

Citations contained in zbMATH Open

828 Publications have been cited 9,358 times in 8,115 Documents Cited by Year
Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513
Chen, Xinfu
235
1997
On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045
Terracini, Susanna
192
1996
Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061
Kryszewski, Wojciech; Szulkin, Andrzej
185
1998
The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034
Fernández-Cara, Enrique; Zuazua, Enrique
127
2000
Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation. Zbl 1007.35049
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A.
110
2001
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
109
1996
On a singularly perturbed elliptic equation. Zbl 1023.35500
Li, YanYan
93
1997
On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065
Kang, Xiaosong; Wei, Juncheng
91
2000
Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010
Goldstein, Gisèle Ruiz
83
2006
Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527
Escher, Joachim; Simonett, Gieri
80
1997
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
71
2005
Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048
Devillanova, Giuseppe; Solimini, Sergio
71
2002
On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073
Hmidi, Taoufik; Keraani, Sahbi
69
2007
Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain. Zbl 1101.35356
Takahashi, Takéo
63
2003
Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034
Bandle, Catherine; Giarrusso, Ester
62
1996
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
62
2004
Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524
Gerbeau, J.-F.; Le Bris, C.
61
1997
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
60
2009
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
57
1996
On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085
Málek, J.; Nečas, J.; Růžička, M.
56
2001
Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
55
2004
Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052
Malchiodi, Andrea
53
2008
Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043
Antontsev, Stanislav; Zhikov, Vasilii
52
2005
Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083
Temam, R.; Ziane, M.
51
1996
Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125
Takaoka, Hideo
51
1999
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051
Agueh, Martial
50
2005
Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046
Coulhon, Thierry; Duong, Xuan Thinh
50
2000
On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223
Sirakov, Boyan
49
2000
Stability of cnoidal waves. Zbl 1147.35079
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia
48
2006
Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084
Beirão da Veiga, H.
47
2004
\(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509
Świech, Andrzej
47
1997
Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058
Bernis, Francisco
46
1996
Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312
Di Francesco, Marco; Polidoro, Sergio
46
2006
Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508
Gazzola, Filippo; Ruf, Bernhard
45
1997
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
45
2003
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093
Himonas, A. Alexandrou; Holliman, Curtis
44
2014
An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095
Jeanjean, Louis; Le Coz, Stefan
42
2006
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407
Bates, Peter W.; Dancer, E. Norman; Shi, Junping
41
1999
On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064
Benilan, Philippe; Wittbold, Petra
41
1996
Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033
Blue, P.; Soffer, A.
41
2003
Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090
Glatt-Holtz, Nathan; Ziane, Mohammed
41
2009
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
40
2001
A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry
40
2016
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042
Chipot, M.; Shafrir, I.; Fila, M.
38
1996
On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031
Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio
37
1996
The thin viscous flow equation in higher space dimensions. Zbl 0954.35035
Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther
36
1998
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
36
2000
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
35
1996
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050
Alazard, Thomas
34
2005
First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427
Birindelli, Isabeau; Demengel, Françoise
34
2006
Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052
Alama, Stanley
34
1999
An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055
Colin, Thierry; Ghidaglia, Jean-Michel
34
2001
Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042
Iliev, I. D.
33
1996
Type-II blowup for a semilinear heat equation. Zbl 1122.35050
Mizoguchi, Noriko
33
2004
Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151
Clapp, Mónica; Weth, Tobias
33
2005
The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518
Manfredini, Maria
33
1997
Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013
Carbou, Gilles; Fabrie, Pierre
32
2003
Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388
Lieberman, Gary M.
32
2005
A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021
Bidaut-Veron, Marie Françoise; Giacomini, Hector
32
2010
Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
30
2004
On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020
Villani, Cédric
30
1996
Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225
Candy, Timothy
30
2011
Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016
Bereanu, C.; Mawhin, J.
30
2006
On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031
Demengel, Françoise; Hebey, Emmanuel
30
1998
Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061
Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F.
30
2002
On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525
Moise, I.; Rosa, R.
30
1997
A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019
Garcke, Harald; Novick-Cohen, Amy
29
2000
Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034
Nakashima, Kimie; Yamada, Yoshio
29
1996
Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512
Bebernes, J. W.; Lacey, A. A.
29
1997
Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042
Andreucci, Daniele; Tedeev, Anatoli F.
28
2005
\(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385
Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A.
28
2005
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
28
2006
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
27
2005
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
26
2005
A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087
Fife, Paul C.; Wang, Xuefeng
26
1998
Topological degree theories for densely defined mappings involving operators of type \((S_+)\). Zbl 0959.47037
Kartsatos, A. G.; Skrypnik, I. V.
26
1999
The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051
Rey, Olivier
26
1999
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
26
2008
Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320
Messaoudi, Salim A.; Said-Houari, Belkacem
26
2009
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
25
2007
Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068
Sugiyama, Yoshie
25
2007
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
24
2010
On coupled systems of Schrödinger equations. Zbl 1232.35063
Chen, Z.; Zou, W.
24
2011
Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates. Zbl 0951.35045
Garofalo, Nicola; Sartori, Elena
24
1999
Monotonicity and symmetry results for \(p\)-Laplace equations and applications. Zbl 1002.35045
Damascelli, Lucio; Pacella, Filomena
24
2000
Liouville type results and eventual flatness of positive solutions for \(p\)-Laplacian equations. Zbl 1075.35522
Du, Yihong; Guo, Zongming
24
2002
Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent. Zbl 1322.49021
Molica Bisci, Giovanni; Servadei, Raffaella
24
2015
Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151
Chipot, Michel; Savitska, Tetiana
23
2014
The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
23
2005
On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262
Ciomaga, Adina
23
2012
Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058
Dore, Giovanni
23
2000
Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up. Zbl 1162.35036
Círstea, Florica Corina
23
2007
Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047
Bjorland, Clayton; Schonbek, Maria E.
23
2009
A hierarchic multi-level energy method for the control of bidiagonal and mixed \(n\)-coupled cascade systems of PDE’s by a reduced number of controls. Zbl 1275.93016
Alabau-Boussouira, Fatiha
23
2013
Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space. Zbl 1284.35226
Lemarié-Rieusset, Pierre Gilles
23
2013
Qualitative study of generalized Forchheimer flows with the flux boundary condition. Zbl 1276.35029
Hoang, Luan; Ibragimov, Akif
22
2012
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
22
1996
Maximal attractor and inertial sets for a conserved phase field model. Zbl 0853.35052
Brochet, D.; Hilhorst, D.; Novick-Cohen, A.
22
1996
Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
22
2014
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
22
2013
On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334
Hu, Yanbo; Li, Jiequan
3
2020
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
1
2020
Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406
Ge, Bin; Wang, Li-Yan
1
2020
Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms. Zbl 1458.34071
Bai, Yuzhen; Xia, Yonghui; Zhu, Wenjing
1
2020
On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281
Zhao, Xiaopeng
1
2020
A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
8
2019
Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500
Bhakta, Mousomi; Mukherjee, Debangana
7
2019
A time-fractional mean field game. Zbl 1442.35502
Camilli, Fabio; De Maio, Raul
3
2019
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573
Fukumoto, Yasuhide; Zhao, Xiaopeng
3
2019
Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611
Tanaka, Tomoyuki
2
2019
Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239
Liu, Yingying; Zhang, Zhengce; Zhu, Liping
2
2019
Low regularity local well-posedness for the higher-dimensional Yang-Mills equation in Lorenz gauge. Zbl 1437.35598
Pecher, Hartmut
1
2019
\(L^2\) representations of the second variation and Łojasiewicz-Simon gradient estimates for a decomposition of the Möbius energy. Zbl 1442.53003
Gunji, Katsunori
1
2019
No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104
Esteve, Carlos; Souplet, Philippe
1
2019
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. Zbl 1442.53004
Nagasawa, Takeyuki; Nakamura, Kohei
1
2019
Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537
Higaki, Mitsuo
1
2019
Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620
Correia, Simão; Figueira, Mário
1
2019
On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186
Addona, Davide; Angiuli, Luciana; Lorenzi, Luca
1
2019
Mountain pass solutions for the fractional Berestycki-Lions problem. Zbl 1388.35206
Ambrosio, Vincenzo
13
2018
Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph. Zbl 1402.35261
Pava, Jaime Angulo; Goloshchapova, Nataliia
12
2018
Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087
Deng, Yinbin; Shuai, Wei
10
2018
Regularity and time behavior of the solutions of linear and quasilinear parabolic equations. Zbl 1390.35115
Porzio, Maria Michaela
7
2018
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072
Mastrolia, P.; Monticelli, D. D.; Punzo, F.
5
2018
Global regularity of the 2D magnetic Bénard system with partial dissipation. Zbl 1420.35267
Ye, Zhuan
5
2018
On the focusing energy-critical fractional nonlinear Schrödinger equations. Zbl 1383.35206
Cho, Yonggeun; Hwang, Gyeongha; Ozawa, Tohru
4
2018
Traveling waves in a simplified gas-solid combustion model in porous media. Zbl 1386.35351
Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori
4
2018
Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397
Miyagaki, Olímpio H.; Pereira, Fábio
4
2018
A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163
Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes
3
2018
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity. Zbl 1386.35266
Sasaki, Takiko
3
2018
Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity. Zbl 1391.35249
Majdoub, Mohamed; Otsmane, Sarah; Tayachi, Slim
3
2018
Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491
Hayashi, Nakao; Naumkin, Pavel I.
2
2018
Global existence for the heat flow of symphonic maps into spheres. Zbl 1406.58011
Misawa, Masashi; Nakauchi, Nobumitsu
2
2018
Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity. Zbl 1391.35262
Sobajima, Motohiro; Wakasugi, Yuta
2
2018
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in \(\mathbb{R}^N\). Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2
2018
Transport and equilibrium in non-conservative systems. Zbl 1433.35402
Chayes, L.; Lei, H. K.
1
2018
Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028
Mukherjee, Mayukh
1
2018
On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential. Zbl 1404.35408
Cho, Yonggeun; Hwang, Gyeongha; Yang, Changhun
1
2018
Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394
Okamoto, Mamoru
1
2018
Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180
Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba
1
2018
Removable singularities for degenerate elliptic Pucci operators. Zbl 1366.35048
Galise, Giulio; Vitolo, Antonio
19
2017
Local Hardy and Rellich inequalities for sums of squares of vector fields. Zbl 1373.35016
Ruzhansky, Michael; Suragan, Durvudkhan
17
2017
On the local pressure of the Navier-Stokes equations and related systems. Zbl 1457.76056
Wolf, Jörg
10
2017
On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure. Zbl 1357.74017
Boulakia, M.; Guerrero, S.
8
2017
Evolution families and maximal regularity for systems of parabolic equations. Zbl 1377.35130
Gallarati, Chiara; Veraar, Mark
5
2017
Local stabilization of compressible Navier-Stokes equations in one dimension around non-zero velocity. Zbl 1371.93099
Mitra, Debanjana; Ramaswamy, Mythily; Raymond, Jean-Pierre
5
2017
Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. Zbl 1379.35122
Naimen, D.; Tarsi, C.
5
2017
The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289
Koch, Herbert; Rüland, Angkana; Shi, Wenhui
4
2017
Inhomogeneous Besov spaces associated to operators with off-diagonal semigroup estimates. Zbl 1373.46023
Bui, The Anh; Duong, Xuan Thinh
3
2017
The Cauchy problem on large time for a Boussinesq-Peregrine equation with large topography variations. Zbl 1372.35231
Mesognon-Gireau, Benoit
3
2017
Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169
Schnaubelt, Roland
3
2017
The Cauchy problem for the shallow water type equations in low regularity spaces on the circle. Zbl 1365.35016
Li, Yongsheng; Yan, Wei; Zhai, Xiaoping; Zhang, Yimin
2
2017
Insensitizing controls for the Boussinesq system with no control on the temperature equation. Zbl 1361.93008
Carreño, N.
2
2017
A well posedness result for generalized solutions of Hamilton-Jacobi equations. Zbl 1387.35103
Zagatti, Sandro
2
2017
Positive solutions of Schrödinger equations and Martin boundaries for skew product elliptic operators. Zbl 1376.35015
Murata, Minoru; Tsuchida, Tetsuo
2
2017
Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system. Zbl 1377.35264
He, Qihan; Peng, Shuangjie; Peng, Yanfang
2
2017
Conley index in Hilbert spaces versus the generalized topological degree. Zbl 1386.34068
Błaszczyk, Zbigniew; Gołębiewska, Anna; Rybicki, Sławomir
2
2017
Threshold and strong threshold solutions of a semilinear parabolic equation. Zbl 1430.35148
Quittner, Pavol
2
2017
Mixed boundary value problems on cylindrical domains. Zbl 1364.35090
Auscher, Pascal; Egert, Moritz
2
2017
Constant sign Green’s function for simply supported beam equation. Zbl 1367.34026
Cabada, Alberto; Saavedra, Lorena
1
2017
Analyticity of semigroups generated by higher order elliptic operators in spaces of bounded functions on \(C^{1}\) domains. Zbl 1380.35079
Suzuki, Takuya
1
2017
On local \(L_p\)-\(L_q\) well-posedness of incompressible two-phase flows with phase transitions: non-equal densities with large initial data. Zbl 06780898
Shimizu, Senjo; Yagi, Shintaro
1
2017
Convergence of the Allen-Cahn equation with constraint to Brakke’s Mean curvature flow. Zbl 06780899
Takasao, Keisuke
1
2017
Existence of solutions to a class of weakly coercive diffusion equations with singular initial data. Zbl 1377.35167
Papi, Marco; Porzio, Maria Michaela; Smarrazzo, Flavia
1
2017
A monotonicity formula and Liouville-type theorems for stable solutions of the weighted elliptic system. Zbl 1364.35094
Hu, Liang-Gen
1
2017
A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry
40
2016
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283
Fiscella, Alessio; Pucci, Patrizia
22
2016
Dissipative structures for thermoelastic plate equations in \(\mathbb R^n\). Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
15
2016
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
13
2016
An epiperimetric inequality for the thin obstacle problem. Zbl 1336.35370
Focardi, Matteo; Spadaro, Emanuele
13
2016
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
12
2016
Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449
Kenig, Carlos E.; Pilod, Didier
9
2016
Profiles for the radial focusing energy-critical wave equation in odd dimensions. Zbl 1348.35033
Rodriguez, Casey
8
2016
A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264
Giga, Yoshikazu; Požár, Norbert
7
2016
Global martingale solution to the stochastic nonhomogeneous magnetohydrodynamics system. Zbl 1375.35644
Yamazaki, Kazuo
6
2016
Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain. Zbl 1382.35204
Aoyama, Reika; Kagei, Yoshiyuki
6
2016
Multi-level Gevrey solutions of singularly perturbed linear partial differential equations. Zbl 1375.35080
Lastra, A.; Malek, S.
5
2016
Initial boundary value problem of the Hamiltonian fifth-order KdV equation on a bounded domain. Zbl 1375.35470
Zhang, Bing-Yu; Zhou, Deqin
5
2016
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
5
2016
Solutions to nonlinear higher order Schrödinger equations with small initial data on modulation spaces. Zbl 1375.35493
Kato, Tomoya
5
2016
The semigroup governing the generalized Cox-Ingersoll-Ross equation. Zbl 1341.47051
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Mininni, Rosa Maria; Romanelli, Silvia
5
2016
Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098
Farwig, Reinhard; Rosteck, Veronika
5
2016
Evolution PDEs and augmented eigenfunctions. Finite interval. Zbl 1375.35283
Fokas, A. S.; Smith, D. A.
4
2016
On the spectrum of an elastic solid with cusps. Zbl 1375.35543
Kozlov, Vladimir; Nazarov, Sergei A.
4
2016
Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem. Zbl 1375.35025
Ao, Weiwei; Wei, Juncheng; Yao, Wei
4
2016
A necessary condition for \(H^\infty \) well-posedness of \(p\)-evolution equations. Zbl 1375.35090
Ascanelli, Alessia; Boiti, Chiara; Zanghirati, Luisa
4
2016
Lipschitz interior regularity for the viscosity and weak solutions of the pseudo \(p\)-Laplacian equation. Zbl 1339.35132
Demengel, Francoise
4
2016
Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. Zbl 1338.35266
Erhardt, André H.
4
2016
On the existence of solitary waves for Boussinesq type equations and Cauchy problem for a new conservative model. Zbl 1375.35358
Bellec, Stevan; Colin, Mathieu
2
2016
Global weak solutions for Boussinesq system with temperature dependent viscosity and bounded temperature. Zbl 1375.35312
De Anna, Francesco
2
2016
Bresse system with Fourier law on shear force. Zbl 1333.35277
Santos, M. L.; Júnior Almeida, D. S.; Muñoz Rivera, J. E.
2
2016
Transverse instability for nonlinear Schrödinger equation with a linear potential. Zbl 1344.35142
Yamazaki, Yohei
2
2016
Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with large perturbation and gradient terms. Zbl 1375.35144
Motreanu, Dumitru; Zhang, Qihu
1
2016
Sharp well-posedness results for the Schrödinger-Benjamin-Ono system. Zbl 1342.35329
Domingues, Leandro
1
2016
Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
1
2016
Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent. Zbl 1322.49021
Molica Bisci, Giovanni; Servadei, Raffaella
24
2015
A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems. Zbl 1309.26007
Bourdin, Loïc; Idczak, Dariusz
20
2015
Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems. Zbl 1345.34031
Feltrin, Guglielmo; Zanolin, Fabio
17
2015
Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains. Zbl 1316.35047
Savostianov, Anton
16
2015
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034
Goodrich, Christopher S.
15
2015
Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations. Zbl 1311.35322
Feehan, Paul M. N.; Pop, Camelia A.
15
2015
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Cited by 6,787 Authors

64 Wei, Juncheng
41 Tang, Xianhua
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33 Pistoia, Angela
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29 Alves, Claudianor Oliveira
29 Li, Wan-Tong
29 Volpert, Vitaly A.
28 Lasiecka, Irena
28 Peng, Shuangjie
28 Pucci, Patrizia
27 Ding, Yanheng
27 Figueiredo, Giovany Malcher
27 Miyagaki, Olimpio Hiroshi
25 Yan, Shusen
24 Galaktionov, Victor Aleksandrovich
24 Zuazua, Enrique
23 Guo, Zongming
23 Ishige, Kazuhiro
23 Wu, Jiahong
22 Ferreira, Lucas Catão de Freitas
22 Guo, Yuxia
21 Magal, Pierre
20 Ambrosio, Vincenzo
20 Chen, Xinfu
20 Colli, Pierluigi
20 Do Ó, João M. Bezerra
20 Gazzola, Filippo
20 Souplet, Philippe
19 Miranville, Alain M.
19 Sreenadh, Konijeti
19 Takahashi, Takéo
19 Warma, Mahamadi
18 Diaz Diaz, Jesus Ildefonso
18 Giacomoni, Jacques
18 Peral Alonso, Ireneo
18 Polidoro, Sergio
18 Quaas, Alexander
18 Ruzhansky, Michael V.
18 Vougalter, Vitali
18 Wang, Jun
18 Wang, Zhi-Qiang
17 Beirão da Veiga, Hugo
17 Cui, Shangbin
17 D’Aprile, Teresa
17 Del Pino, Manuel A.
17 Giga, Yoshikazu
17 Gilardi, Gianni
17 Kukavica, Igor
17 Li, Yongsheng
17 Liu, Zhihua
17 Prüß, Jan Wilhelm
17 Rakotoson, Jean-Michel
17 Zhang, Fubao
16 Bartsch, Thomas J.
16 Duong, Xuan Thinh
16 Esfahani, Amin
16 Felmer, Patricio L.
16 Fernández-Cara, Enrique
16 Garcke, Harald
16 Lanconelli, Ermanno
16 Liu, Xiangqing
16 Lorenzi, Luca
16 Marcellini, Paolo
16 Pomponio, Alessio
16 Ruan, Shigui
16 Saut, Jean-Claude
16 Suragan, Durvudkhan
16 Vitolo, Antonio
16 Zhao, Xiaopeng
15 Antontsev, Stanislav Nikolaevich
15 Biler, Piotr
15 Cingolani, Silvia
15 García-Huidobro, Marta
15 Goldstein, Jerome Arthur
15 Laurençot, Philippe
15 López-Gómez, Julián
15 Messaoudi, Salim A.
15 Suárez, Antonio
15 Suzuki, Takashi
15 Umezu, Kenichiro
15 Zhang, Guobao
14 Barles, Guy
14 Ben Ayed, Mohamed
14 Bona, Jerry Lloyd
14 Boscaggin, Alberto
14 Cao, Daomin
14 Clapp, Mónica
14 Du, Yihong
14 Gancedo, Francisco
14 Guidetti, Davide
14 Kieu, Thinh Tri
14 Malchiodi, Andrea
14 Musina, Roberta
14 Pacella, Filomena
14 Shibata, Yoshihiro
14 Squassina, Marco
14 Vazquez, Juan Luis
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822 Journal of Differential Equations
627 Journal of Mathematical Analysis and Applications
624 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
228 Calculus of Variations and Partial Differential Equations
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175 Discrete and Continuous Dynamical Systems
159 Archive for Rational Mechanics and Analysis
136 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
135 Communications on Pure and Applied Analysis
132 Nonlinear Analysis. Real World Applications
121 NoDEA. Nonlinear Differential Equations and Applications
119 Journal de Mathématiques Pures et Appliquées. Neuvième Série
107 ZAMP. Zeitschrift für angewandte Mathematik und Physik
99 Journal of Evolution Equations
89 Annali di Matematica Pura ed Applicata. Serie Quarta
88 Proceedings of the American Mathematical Society
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75 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
73 Mathematical Methods in the Applied Sciences
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38 Acta Mathematica Sinica. English Series
36 Zeitschrift für Analysis und ihre Anwendungen
35 Manuscripta Mathematica
35 Mediterranean Journal of Mathematics
34 Complex Variables and Elliptic Equations
33 Journal of Nonlinear Science
33 Science China. Mathematics
32 SIAM Journal on Control and Optimization
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31 Journal of Computational Physics
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29 Quarterly of Applied Mathematics
29 Revista Matemática Iberoamericana
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27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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20 Topological Methods in Nonlinear Analysis
20 Electronic Journal of Differential Equations (EJDE)
19 Applied Numerical Mathematics
18 Results in Mathematics
17 Rocky Mountain Journal of Mathematics
17 Memoirs of the American Mathematical Society
17 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
17 Journal of the European Mathematical Society (JEMS)
17 Journal of Function Spaces
16 Israel Journal of Mathematics
16 Numerische Mathematik
16 Ricerche di Matematica
16 Asymptotic Analysis
16 Journal of Scientific Computing
16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
16 Annals of PDE
15 Acta Mathematicae Applicatae Sinica. English Series
15 Applications of Mathematics
15 Journal of Dynamical and Control Systems
15 Differential Equations
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
14 Communications on Pure and Applied Mathematics
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14 Stochastic Processes and their Applications
14 Fractional Calculus & Applied Analysis
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