Documents Indexed: 990 Publications (since 1996) References Indexed: 46 Publications with 1,728 References.
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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 Pucci, Patrizia 5 Rakotoson, Jean-Michel 5 Winkler, Michael 5 Ziane, Mohammed 4 Antontsev, Stanislav Nikolaevich 4 Barbu, Viorel 4 Caldiroli, Paolo 4 Coclite, Giuseppe Maria 4 Favini, Angelo 4 Garcke, Harald 4 Goldstein, Jerome Arthur 4 Grossi, Massimo 4 Guo, Zongming 4 Hebey, Emmanuel 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 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 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 Ge, Bin 3 Goubet, Olivier 3 Hayashi, Nakao 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 ...and 1,237 more Authors
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### Fields

 900 Partial differential equations (35-XX) 136 Fluid mechanics (76-XX) 119 Operator theory (47-XX) 102 Ordinary differential equations (34-XX) 70 Global analysis, analysis on manifolds (58-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 51 Mechanics of deformable solids (74-XX) 46 Dynamical systems and ergodic theory (37-XX) 36 Differential geometry (53-XX) 30 Integral equations (45-XX) 30 Functional analysis (46-XX) 27 Biology and other natural sciences (92-XX) 25 Systems theory; control (93-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 14 Optics, electromagnetic theory (78-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Numerical analysis (65-XX) 13 Mechanics of particles and systems (70-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) 6 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)

### Citations contained in zbMATH Open

839 Publications have been cited 9,906 times in 8,606 Documents Cited by Year
Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513
Chen, Xinfu
1997
Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061
Kryszewski, Wojciech; Szulkin, Andrzej
1998
On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045
Terracini, Susanna
1996
The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034
Fernández-Cara, Enrique; Zuazua, Enrique
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.
2001
Blow up for $$u_ t- \Delta u=g(u)$$ revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
1996
On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065
Kang, Xiaosong; Wei, Juncheng
2000
On a singularly perturbed elliptic equation. Zbl 1023.35500
Li, YanYan
1997
Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010
Goldstein, Gisèle Ruiz
2006
Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527
Escher, Joachim; Simonett, Gieri
1997
Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048
Devillanova, Giuseppe; Solimini, Sergio
2002
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2005
On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073
Hmidi, Taoufik; Keraani, Sahbi
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
2003
Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034
Bandle, Catherine; Giarrusso, Ester
1996
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
2009
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
2004
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.
2001
Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524
Gerbeau, J.-F.; Le Bris, C.
1997
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
1996
Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
2004
Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052
Malchiodi, Andrea
2008
Higher integrability for parabolic equations of $$p(x,t)$$-Laplacian type. Zbl 1122.35043
Antontsev, Stanislav; Zhikov, Vasilii
2005
Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312
Di Francesco, Marco; Polidoro, Sergio
2006
Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083
Temam, R.; Ziane, M.
1996
Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125
Takaoka, Hideo
1999
Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046
Coulhon, Thierry; Duong, Xuan Thinh
2000
On the existence of solutions of Hamiltonian elliptic systems in $$\mathbb{R}^N$$. Zbl 1213.35223
Sirakov, Boyan
2000
Stability of cnoidal waves. Zbl 1147.35079
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia
2006
Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084
Beirão da Veiga, H.
2004
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051
Agueh, Martial
2005
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
2003
$$W^{1,p}$$-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509
Świech, Andrzej
1997
Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058
Bernis, Francisco
1996
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093
Himonas, A. Alexandrou; Holliman, Curtis
2014
An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095
Jeanjean, Louis; Le Coz, Stefan
2006
Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508
Gazzola, Filippo; Ruf, Bernhard
1997
Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090
Glatt-Holtz, Nathan; Ziane, Mohammed
2009
A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry
2016
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
2001
Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033
Blue, P.; Soffer, A.
2003
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
1999
On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064
Benilan, Philippe; Wittbold, Petra
1996
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042
Chipot, M.; Shafrir, I.; Fila, M.
1996
The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518
Manfredini, Maria
1997
The thin viscous flow equation in higher space dimensions. Zbl 0954.35035
Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther
1998
Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013
Carbou, Gilles; Fabrie, Pierre
2003
On a semilinear elliptic problem in $$\mathbb{R}^ N$$ with a non-Lipschitzian nonlinearity. Zbl 0845.35031
Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio
1996
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
1996
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
2000
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050
Alazard, Thomas
2005
An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055
Colin, Thierry; Ghidaglia, Jean-Michel
2001
A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021
Bidaut-Veron, Marie Françoise; Giacomini, Hector
2010
First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427
Birindelli, Isabeau; Demengel, Françoise
2006
Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042
Iliev, I. D.
1996
Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052
Alama, Stanley
1999
Type-II blowup for a semilinear heat equation. Zbl 1122.35050
Mizoguchi, Noriko
2004
Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151
Clapp, Mónica; Weth, Tobias
2005
Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042
Andreucci, Daniele; Tedeev, Anatoli F.
2005
Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388
Lieberman, Gary M.
2005
On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020
Villani, Cédric
1996
Global existence for an $$L^2$$ critical nonlinear Dirac equation in one dimension. Zbl 1229.35225
Candy, Timothy
2011
On some nonlinear equations involving the $$p$$-Laplacian with critical Sobolev growth. Zbl 0955.35031
Demengel, Françoise; Hebey, Emmanuel
1998
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.
2004
Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061
Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F.
2002
$$L^p$$-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385
Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A.
2005
Boundary-value problems with non-surjective $$\varphi$$-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016
Bereanu, C.; Mawhin, J.
2006
Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320
Messaoudi, Salim A.; Said-Houari, Belkacem
2009
On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525
Moise, I.; Rosa, R.
1997
A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019
Garcke, Harald; Novick-Cohen, Amy
2000
Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034
1996
On coupled systems of Schrödinger equations. Zbl 1232.35063
Chen, Z.; Zou, W.
2011
Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512
Bebernes, J. W.; Lacey, A. A.
1997
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.
2006
On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262
2012
Functional calculi for linear operators in vector-valued $$L^p$$-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
1998
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
2008
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
2007
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
2005
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
2005
Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047
Bjorland, Clayton; Schonbek, Maria E.
2009
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
1996
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
1998
Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates. Zbl 0951.35045
Garofalo, Nicola; Sartori, Elena
1999
Topological degree theories for densely defined mappings involving operators of type $$(S_+)$$. Zbl 0959.47037
Kartsatos, A. G.; Skrypnik, I. V.
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
1999
Nonlocal $$p$$-Laplace equations depending on the $$L^p$$ norm of the gradient. Zbl 1307.35151
Chipot, Michel; Savitska, Tetiana
2014
Maximal regularity in $$L^p$$ spaces for an abstract Cauchy problem. Zbl 0993.34058
Dore, Giovanni
2000
Monotonicity and symmetry results for $$p$$-Laplace equations and applications. Zbl 1002.35045
Damascelli, Lucio; Pacella, Filomena
2000
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
2010
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
2013
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283
Fiscella, Alessio; Pucci, Patrizia
2016
Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in $$\mathbb{R}^2$$. Zbl 0947.35154
Goubet, Olivier
1998
Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent. Zbl 1322.49021
2015
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
2013
Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068
Sugiyama, Yoshie
2007
$$\Gamma$$-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
2012
Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Zbl 1183.35035
Gerbi, Stéphane; Said-Houari, Belkacem
2008
The initial-value problem for the Navier-Stokes equations with a free surface in $$L^q$$-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
2005
Liouville type results and eventual flatness of positive solutions for $$p$$-Laplacian equations. Zbl 1075.35522
Du, Yihong; Guo, Zongming
2002
Non-local Tug-of-War with noise for the geometric fractional $$p$$-Laplacian. Zbl 07483347
Lewicka, Marta
2022
Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056
Jiang, Huite; Zhao, Caidi
2021
An apparently unnatural estimate about forward-backward parabolic equations. Zbl 1480.35073
Paronetto, Fabio
2021
Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions. Zbl 1479.35694
Ragusa, Maria Alessandra; Wu, Fan
2021
On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334
Hu, Yanbo; Li, Jiequan
2020
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
2020
Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306
Li, Xinfu; Ma, Shiwang; Zhang, Guang
2020
Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044
Yang, Rui; Lee, Yong-Hoon
2020
Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406
Ge, Bin; Wang, Li-Yan
2020
Stability of polytropic filtration equation with variable exponents. Zbl 1447.35308
Feng, Zhaosheng; Zhan, Huashui
2020
Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms. Zbl 1458.34071
Bai, Yuzhen; Xia, Yonghui; Zhu, Wenjing
2020
On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281
Zhao, Xiaopeng
2020
A note on deformation argument for $$L^2$$ normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
2019
Multiplicity results for $$(p,q)$$ fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500
Bhakta, Mousomi; Mukherjee, Debangana
2019
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573
Fukumoto, Yasuhide; Zhao, Xiaopeng
2019
A time-fractional mean field game. Zbl 1442.35502
Camilli, Fabio; De Maio, Raul
2019
Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239
Liu, Yingying; Zhang, Zhengce; Zhu, Liping
2019
On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186
Addona, Davide; Angiuli, Luciana; Lorenzi, Luca
2019
No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104
Esteve, Carlos; Souplet, Philippe
2019
Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611
Tanaka, Tomoyuki
2019
Some $$L^\infty$$ solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620
Correia, Simão; Figueira, Mário
2019
Low regularity local well-posedness for the higher-dimensional Yang-Mills equation in Lorenz gauge. Zbl 1437.35598
Pecher, Hartmut
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
2019
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. Zbl 1442.53004
Nagasawa, Takeyuki; Nakamura, Kohei
2019
Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537
Higaki, Mitsuo
2019
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
2018
Mountain pass solutions for the fractional Berestycki-Lions problem. Zbl 1388.35206
Ambrosio, Vincenzo
2018
Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087
Deng, Yinbin; Shuai, Wei
2018
Regularity and time behavior of the solutions of linear and quasilinear parabolic equations. Zbl 1390.35115
Porzio, Maria Michaela
2018
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072
Mastrolia, P.; Monticelli, D. D.; Punzo, F.
2018
Global regularity of the 2D magnetic Bénard system with partial dissipation. Zbl 1420.35267
Ye, Zhuan
2018
On the focusing energy-critical fractional nonlinear Schrödinger equations. Zbl 1383.35206
Cho, Yonggeun; Hwang, Gyeongha; Ozawa, Tohru
2018
A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163
Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes
2018
Traveling waves in a simplified gas-solid combustion model in porous media. Zbl 1386.35351
Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori
2018
Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity. Zbl 1391.35249
Majdoub, Mohamed; Otsmane, Sarah; Tayachi, Slim
2018
Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397
Miyagaki, Olímpio H.; Pereira, Fábio
2018
Global existence for the heat flow of symphonic maps into spheres. Zbl 1406.58011
Misawa, Masashi; Nakauchi, Nobumitsu
2018
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity. Zbl 1386.35266
Sasaki, Takiko
2018
Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity. Zbl 1391.35262
Sobajima, Motohiro; Wakasugi, Yuta
2018
Transport and equilibrium in non-conservative systems. Zbl 1433.35402
Chayes, L.; Lei, H. K.
2018
Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491
Hayashi, Nakao; Naumkin, Pavel I.
2018
Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394
Okamoto, Mamoru
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
2018
Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028
Mukherjee, Mayukh
2018
The Friedrichs extension for elliptic wedge operators of second order. Zbl 1380.58021
Krainer, Thomas; Mendoza, Gerardo A.
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
2018
Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180
Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba
2018
Removable singularities for degenerate elliptic Pucci operators. Zbl 1366.35048
Galise, Giulio; Vitolo, Antonio
2017
Local Hardy and Rellich inequalities for sums of squares of vector fields. Zbl 1373.35016
Ruzhansky, Michael; Suragan, Durvudkhan
2017
On the local pressure of the Navier-Stokes equations and related systems. Zbl 1457.76056
Wolf, Jörg
2017
On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure. Zbl 1357.74017
Boulakia, M.; Guerrero, S.
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
2017
Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. Zbl 1379.35122
Naimen, D.; Tarsi, C.
2017
Evolution families and maximal regularity for systems of parabolic equations. Zbl 1377.35130
Gallarati, Chiara; Veraar, Mark
2017
The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289
Koch, Herbert; Rüland, Angkana; Shi, Wenhui
2017
Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169
Schnaubelt, Roland
2017
Threshold and strong threshold solutions of a semilinear parabolic equation. Zbl 1430.35148
Quittner, Pavol
2017
The Cauchy problem on large time for a Boussinesq-Peregrine equation with large topography variations. Zbl 1372.35231
Mesognon-Gireau, Benoit
2017
Inhomogeneous Besov spaces associated to operators with off-diagonal semigroup estimates. Zbl 1373.46023
Bui, The Anh; Duong, Xuan Thinh
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
2017
A monotonicity formula and Liouville-type theorems for stable solutions of the weighted elliptic system. Zbl 1364.35094
Hu, Liang-Gen
2017
Mixed boundary value problems on cylindrical domains. Zbl 1364.35090
Auscher, Pascal; Egert, Moritz
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
2017
Positive solutions of Schrödinger equations and Martin boundaries for skew product elliptic operators. Zbl 1376.35015
Murata, Minoru; Tsuchida, Tetsuo
2017
Insensitizing controls for the Boussinesq system with no control on the temperature equation. Zbl 1361.93008
Carreño, N.
2017
A well posedness result for generalized solutions of Hamilton-Jacobi equations. Zbl 1387.35103
Zagatti, Sandro
2017
Conley index in Hilbert spaces versus the generalized topological degree. Zbl 1386.34068
Błaszczyk, Zbigniew; Gołębiewska, Anna; Rybicki, Sławomir
2017
Constant sign Green’s function for simply supported beam equation. Zbl 1367.34026
2017
Analyticity of semigroups generated by higher order elliptic operators in spaces of bounded functions on $$C^{1}$$ domains. Zbl 1380.35079
Suzuki, Takuya
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
2017
Convergence of the Allen-Cahn equation with constraint to Brakke’s mean curvature flow. Zbl 1479.35531
Takasao, Keisuke
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
2017
A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry
2016
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283
Fiscella, Alessio; Pucci, Patrizia
2016
Dissipative structures for thermoelastic plate equations in $$\mathbb R^n$$. Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
2016
An epiperimetric inequality for the thin obstacle problem. Zbl 1336.35370
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
2016
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2016
Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449
Kenig, Carlos E.; Pilod, Didier
2016
A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264
Giga, Yoshikazu; Požár, Norbert
2016
Profiles for the radial focusing energy-critical wave equation in odd dimensions. Zbl 1348.35033
Rodriguez, Casey
2016
Multi-level Gevrey solutions of singularly perturbed linear partial differential equations. Zbl 1375.35080
Lastra, A.; Malek, S.
2016
Global martingale solution to the stochastic nonhomogeneous magnetohydrodynamics system. Zbl 1375.35644
Yamazaki, Kazuo
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
2016
Evolution PDEs and augmented eigenfunctions. Finite interval. Zbl 1375.35283
Fokas, A. S.; Smith, D. A.
2016
Initial boundary value problem of the Hamiltonian fifth-order KdV equation on a bounded domain. Zbl 1375.35470
Zhang, Bing-Yu; Zhou, Deqin
2016
A necessary condition for $$H^\infty$$ well-posedness of $$p$$-evolution equations. Zbl 1375.35090
Ascanelli, Alessia; Boiti, Chiara; Zanghirati, Luisa
2016
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
2016
Solutions to nonlinear higher order Schrödinger equations with small initial data on modulation spaces. Zbl 1375.35493
Kato, Tomoya
2016
The semigroup governing the generalized Cox-Ingersoll-Ross equation. Zbl 1341.47051
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Mininni, Rosa Maria; Romanelli, Silvia
2016
Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098
Farwig, Reinhard; Rosteck, Veronika
2016
On the spectrum of an elastic solid with cusps. Zbl 1375.35543
2016
Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem. Zbl 1375.35025
Ao, Weiwei; Wei, Juncheng; Yao, Wei
2016
Lipschitz interior regularity for the viscosity and weak solutions of the pseudo $$p$$-Laplacian equation. Zbl 1339.35132
Demengel, Francoise
2016
Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. Zbl 1338.35266
Erhardt, André H.
2016
Global weak solutions for Boussinesq system with temperature dependent viscosity and bounded temperature. Zbl 1375.35312
De Anna, Francesco
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
2016
Bresse system with Fourier law on shear force. Zbl 1333.35277
Santos, M. L.; Júnior Almeida, D. S.; Muñoz Rivera, J. E.
2016
Transverse instability for nonlinear Schrödinger equation with a linear potential. Zbl 1344.35142
Yamazaki, Yohei
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
2016
...and 739 more Documents
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### Cited by 7,153 Authors

 64 Wei, Juncheng 43 Zou, Wenming 42 Tang, Xianhua 41 Kang, Dongsheng 33 Pistoia, Angela 30 Alves, Claudianor Oliveira 30 Figueiredo, Giovany Malcher 30 Peng, Shuangjie 30 Pucci, Patrizia 30 Rossi, Julio Daniel 29 Lasiecka, Irena 29 Li, Wan-Tong 29 Volpert, Vitaly A. 28 Miyagaki, Olimpio Hiroshi 27 Ding, Yanheng 26 Yan, Shusen 25 Zuazua, Enrique 24 Galaktionov, Victor Aleksandrovich 24 Ishige, Kazuhiro 23 Ambrosio, Vincenzo 23 Guo, Yuxia 23 Guo, Zongming 23 Wu, Jiahong 22 Ferreira, Lucas Catão de Freitas 21 Colli, Pierluigi 21 Gazzola, Filippo 21 Magal, Pierre 21 Souplet, Philippe 20 Chen, Xinfu 20 Do Ó, João M. Bezerra 20 Giacomoni, Jacques 20 Kukavica, Igor 20 Polidoro, Sergio 20 Sreenadh, Konijeti 20 Takahashi, Takéo 20 Vougalter, Vitali 20 Wang, Zhi-Qiang 19 Giga, Yoshikazu 19 Miranville, Alain M. 19 Ruzhansky, Michael V. 19 Suragan, Durvudkhan 19 Warma, Mahamadi 18 Diaz Diaz, Jesus Ildefonso 18 Lar’kin, Nikolaj Andreevich 18 Li, Yongsheng 18 Liu, Zhihua 18 Peral Alonso, Ireneo 18 Quaas, Alexander 18 Wang, Jun 17 Bartsch, Thomas J. 17 Beirão da Veiga, Hugo 17 Cui, Shangbin 17 D’Aprile, Teresa 17 Del Pino, Manuel A. 17 Esfahani, Amin 17 Garcke, Harald 17 Gilardi, Gianni 17 Lorenzi, Luca 17 Prüß, Jan Wilhelm 17 Rakotoson, Jean-Michel 17 Saut, Jean-Claude 17 Zhang, Fubao 17 Zhao, Xiaopeng 16 Angulo Pava, Jaime 16 Cingolani, Silvia 16 Duong, Xuan Thinh 16 Felmer, Patricio L. 16 Fernández-Cara, Enrique 16 Goldstein, Jerome Arthur 16 Lanconelli, Ermanno 16 Laurençot, Philippe 16 Liu, Xiangqing 16 Marcellini, Paolo 16 Messaoudi, Salim A. 16 Pomponio, Alessio 16 Ruan, Shigui 16 Vitolo, Antonio 15 Antontsev, Stanislav Nikolaevich 15 Biler, Piotr 15 Du, Yihong 15 García-Huidobro, Marta 15 López-Gómez, Julián 15 Ogawa, Takayoshi 15 Porzio, Maria Michaela 15 Shibata, Yoshihiro 15 Squassina, Marco 15 Suárez, Antonio 15 Suzuki, Takashi 15 Tedeev, Anatoliĭ Fedorovich 15 Triggiani, Roberto 15 Umezu, Kenichiro 15 Watanabe, Tatsuya 15 Zhang, Guobao 15 Zhang, Zhitao 14 Bae, Hyeong-Ohk 14 Barles, Guy 14 Ben Ayed, Mohamed 14 Bona, Jerry Lloyd 14 Boscaggin, Alberto 14 Cao, Daomin ...and 7,053 more Authors
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### Cited in 487 Journals

 846 Journal of Differential Equations 639 Journal of Mathematical Analysis and Applications 638 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 237 Calculus of Variations and Partial Differential Equations 184 Journal of Functional Analysis 184 Discrete and Continuous Dynamical Systems 164 Archive for Rational Mechanics and Analysis 150 Communications on Pure and Applied Analysis 138 Nonlinear Analysis. Real World Applications 136 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 127 NoDEA. Nonlinear Differential Equations and Applications 123 Journal de Mathématiques Pures et Appliquées. Neuvième Série 120 ZAMP. Zeitschrift für angewandte Mathematik und Physik 117 Journal of Evolution Equations 91 Annali di Matematica Pura ed Applicata. Serie Quarta 91 Proceedings of the American Mathematical Society 89 Transactions of the American Mathematical Society 86 Journal of Mathematical Physics 84 SIAM Journal on Mathematical Analysis 79 Boundary Value Problems 78 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 77 Applied Mathematics and Computation 73 Mathematical Methods in the Applied Sciences 72 Physica D 71 Applied Mathematics Letters 67 Comptes Rendus. Mathématique. Académie des Sciences, Paris 66 Advanced Nonlinear Studies 64 Mathematische Annalen 63 Computers & Mathematics with Applications 63 Discrete and Continuous Dynamical Systems. Series B 61 Applicable Analysis 61 Journal of Dynamics and Differential Equations 59 Communications in Mathematical Physics 59 Journal of Mathematical Fluid Mechanics 58 Discrete and Continuous Dynamical Systems. Series S 56 Advances in Nonlinear Analysis 53 Nonlinearity 51 Acta Applicandae Mathematicae 51 Abstract and Applied Analysis 47 Advances in Mathematics 47 Communications in Contemporary Mathematics 44 Applied Mathematics and Optimization 41 Evolution Equations and Control Theory 40 Journal of Computational and Applied Mathematics 40 Journal of Mathematical Sciences (New York) 39 Complex Variables and Elliptic Equations 38 Acta Mathematica Sinica. English Series 37 Journal of Computational Physics 36 Zeitschrift für Analysis und ihre Anwendungen 36 Mediterranean Journal of Mathematics 35 Manuscripta Mathematica 34 The Journal of Geometric Analysis 34 Journal of Nonlinear Science 33 SIAM Journal on Control and Optimization 33 Journal of Fixed Point Theory and Applications 33 Science China. Mathematics 33 Journal of Elliptic and Parabolic Equations 32 Potential Analysis 30 Quarterly of Applied Mathematics 29 Revista Matemática Iberoamericana 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Journal d’Analyse Mathématique 27 Mathematische Zeitschrift 26 Asymptotic Analysis 25 Mathematische Nachrichten 25 Communications in Partial Differential Equations 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 Monatshefte für Mathematik 23 Topological Methods in Nonlinear Analysis 23 Mathematical Control and Related Fields 22 Archiv der Mathematik 22 Chinese Annals of Mathematics. Series B 22 Bulletin des Sciences Mathématiques 22 Nonlinear Analysis. Theory, Methods & Applications 21 Journal of Optimization Theory and Applications 21 Results in Mathematics 21 Annales Henri Poincaré 21 SN Partial Differential Equations and Applications 20 Electronic Journal of Differential Equations (EJDE) 20 Journal of Function Spaces 19 Memoirs of the American Mathematical Society 19 Applied Numerical Mathematics 19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 18 Journal of Inequalities and Applications 18 Advances in Difference Equations 17 Israel Journal of Mathematics 17 Rocky Mountain Journal of Mathematics 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 Annals of PDE 16 Numerische Mathematik 16 Ricerche di Matematica 16 Systems & Control Letters 16 Journal of Scientific Computing 16 Journal of Dynamical and Control Systems 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 15 Acta Mathematicae Applicatae Sinica. English Series 15 MCSS. Mathematics of Control, Signals, and Systems 15 Applications of Mathematics 15 Differential Equations ...and 387 more Journals
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### Cited in 54 Fields

 7,382 Partial differential equations (35-XX) 1,309 Fluid mechanics (76-XX) 733 Operator theory (47-XX) 586 Ordinary differential equations (34-XX) 461 Calculus of variations and optimal control; optimization (49-XX) 432 Biology and other natural sciences (92-XX) 403 Global analysis, analysis on manifolds (58-XX) 397 Systems theory; control (93-XX) 382 Dynamical systems and ergodic theory (37-XX) 366 Numerical analysis (65-XX) 358 Mechanics of deformable solids (74-XX) 244 Differential geometry (53-XX) 228 Functional analysis (46-XX) 181 Integral equations (45-XX) 174 Probability theory and stochastic processes (60-XX) 163 Harmonic analysis on Euclidean spaces (42-XX) 156 Statistical mechanics, structure of matter (82-XX) 126 Classical thermodynamics, heat transfer (80-XX) 121 Quantum theory (81-XX) 120 Real functions (26-XX) 97 Optics, electromagnetic theory (78-XX) 72 Geophysics (86-XX) 71 Potential theory (31-XX) 65 Relativity and gravitational theory (83-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Mechanics of particles and systems (70-XX) 33 Measure and integration (28-XX) 30 Functions of a complex variable (30-XX) 30 Abstract harmonic analysis (43-XX) 29 Difference and functional equations (39-XX) 28 Approximations and expansions (41-XX) 22 Computer science (68-XX) 19 Operations research, mathematical programming (90-XX) 18 Topological groups, Lie groups (22-XX) 17 Statistics (62-XX) 16 Special functions (33-XX) 16 Information and communication theory, circuits (94-XX) 14 Combinatorics (05-XX) 14 Integral transforms, operational calculus (44-XX) 11 Several complex variables and analytic spaces (32-XX) 10 General topology (54-XX) 10 Astronomy and astrophysics (85-XX) 9 History and biography (01-XX) 9 Convex and discrete geometry (52-XX) 8 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)