Advances in Differential Equations Short Title: Adv. Differ. Equ. Publisher: Khayyam Publishing Company, Athens, OH ISSN: 1079-9389 Online: http://projecteuclid.org/all/euclid.adehttp://aftabi.com/ade-publication/ Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,049 Publications (since 1996) References Indexed: 105 Publications with 3,852 References. all top 5 Latest Issues 29, No. 11-12 (2024) 29, No. 9-10 (2024) 29, No. 7-8 (2024) 29, No. 5-6 (2024) 29, No. 3-4 (2024) 29, No. 1-2 (2024) 28, No. 11-12 (2023) 28, No. 9-10 (2023) 28, No. 7-8 (2023) 28, No. 5-6 (2023) 28, No. 3-4 (2023) 28, No. 1-2 (2023) 27, No. 11-12 (2022) 27, No. 9-10 (2022) 27, No. 7-8 (2022) 27, No. 5-6 (2022) 27, No. 3-4 (2022) 27, No. 1-2 (2022) 26, No. 11-12 (2021) 26, No. 9-10 (2021) 26, No. 7-8 (2021) 26, No. 5-6 (2021) 26, No. 3-4 (2021) 26, No. 1-2 (2021) 25, No. 11-12 (2020) 25, No. 9-10 (2020) 25, No. 7-8 (2020) 25, No. 5-6 (2020) 25, No. 3-4 (2020) 25, No. 1-2 (2020) 24, No. 11-12 (2019) 24, No. 9-10 (2019) 24, No. 7-8 (2019) 24, No. 5-6 (2019) 24, No. 3-4 (2019) 24, No. 1-2 (2019) 23, No. 11-12 (2018) 23, No. 9-10 (2018) 23, No. 7-8 (2018) 23, No. 5-6 (2018) 23, No. 3-4 (2018) 23, No. 1-2 (2018) 22, No. 11-12 (2017) 22, No. 9-10 (2017) 22, No. 7-8 (2017) 22, No. 5-6 (2017) 22, No. 3-4 (2017) 22, No. 1-2 (2017) 21, No. 11-12 (2016) 21, No. 9-10 (2016) 21, No. 7-8 (2016) 21, No. 5-6 (2016) 21, No. 3-4 (2016) 21, No. 1-2 (2016) 20, No. 11-12 (2015) 20, No. 9-10 (2015) 20, No. 7-8 (2015) 20, No. 5-6 (2015) 20, No. 3-4 (2015) 20, No. 1-2 (2015) 19, No. 11-12 (2014) 19, No. 9-10 (2014) 19, No. 7-8 (2014) 19, No. 5-6 (2014) 19, No. 3-4 (2014) 19, No. 1-2 (2014) 18, No. 11-12 (2013) 18, No. 9-10 (2013) 18, No. 7-8 (2013) 18, No. 5-6 (2013) 18, No. 3-4 (2013) 18, No. 1-2 (2013) 17, No. 11-12 (2012) 17, No. 9-10 (2012) 17, No. 7-8 (2012) 17, No. 5-6 (2012) 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) ...and 106 more Volumes all top 5 Authors 10 Suzuki, Takashi 9 Bona, Jerry Lloyd 9 Galaktionov, Victor Aleksandrovich 9 García-Huidobro, Marta 8 Giga, Yoshikazu 7 Guidetti, Davide 7 Lorenzi, Alfredo 7 Manasevich, Raul F. 7 Vazquez, Juan Luis 6 Angulo Pava, Jaime 6 Dancer, Edward Norman 6 Muñoz Rivera, Jaime Edilberto 6 Senba, Takasi 6 Winkler, Michael 5 Bidaut-Veron, Marie-Françoise 5 Chipot, Michel 5 Demengel, Françoise 5 Felmer, Patricio L. 5 Fila, Marek 5 Gazzola, Filippo 5 López-Gómez, Julián 5 Nicaise, Serge 5 Perla Menzala, Gustavo Alberto 5 Prashanth, S. 5 Pucci, Patrizia 5 Rakotoson, Jean-Michel 5 Ziane, Mohammed 4 Antontsev, Stanislav Nikolaevich 4 Barbu, Viorel 4 Caldiroli, Paolo 4 Cho, Yonggeun 4 Coclite, Giuseppe Maria 4 Favini, Angelo 4 Garcke, Harald 4 Goldstein, Gisèle Ruiz 4 Goldstein, Jerome Arthur 4 Grossi, Massimo 4 Guo, Zongming 4 Hebey, Emmanuel 4 Ishige, Kazuhiro 4 Kukavica, Igor 4 Lasiecka, Irena 4 Mawhin, Jean 4 Micheletti, Anna Maria 4 Naumkin, Pavel Ivanovich 4 Peral Alonso, Ireneo 4 Pistoia, Angela 4 Quittner, Pavol 4 Racke, Reinhard 4 Rybka, Piotr 4 Schonbek, Maria Elena 4 Sreenadh, Konijeti 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 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 Faminskii, Andrei V. 3 Fernández-Cara, Enrique 3 Ferrero, Alberto 3 Figueiredo, Giovany Malcher 3 Ge, Bin 3 Giacomoni, Jacques 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 Ragusa, Maria Alessandra 3 Reissig, Michael 3 Ruzhansky, Michael V. 3 Santos, Mauro Lima 3 Schnaubelt, Roland ...and 1,357 more Authors all top 5 Fields 953 Partial differential equations (35-XX) 140 Fluid mechanics (76-XX) 125 Operator theory (47-XX) 105 Ordinary differential equations (34-XX) 71 Global analysis, analysis on manifolds (58-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 53 Dynamical systems and ergodic theory (37-XX) 53 Mechanics of deformable solids (74-XX) 38 Differential geometry (53-XX) 32 Functional analysis (46-XX) 30 Integral equations (45-XX) 29 Biology and other natural sciences (92-XX) 28 Systems theory; control (93-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Real functions (26-XX) 16 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) 12 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 10 Potential theory (31-XX) 6 Geophysics (86-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Functions of a complex variable (30-XX) 4 Measure and integration (28-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 924 Publications have been cited 13,446 times in 11,664 Documents Cited by ▼ Year ▼ Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513 Chen, Xinfu 334 1997 Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061 Kryszewski, Wojciech; Szulkin, Andrzej 255 1998 On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045 Terracini, Susanna 242 1996 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. 176 2001 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034 Fernández-Cara, Enrique; Zuazua, Enrique 165 2000 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 137 1996 Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010 Goldstein, Gisèle Ruiz 136 2006 On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065 Kang, Xiaosong; Wei, Juncheng 112 2000 On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073 Hmidi, Taoufik; Keraani, Sahbi 112 2007 On a singularly perturbed elliptic equation. Zbl 1023.35500 Li, YanYan 109 1997 Null controllability of degenerate heat equations. Zbl 1145.35408 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 107 2005 Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048 Devillanova, Giuseppe; Solimini, Sergio 102 2002 Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527 Escher, Joachim; Simonett, Gieri 102 1997 Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain. Zbl 1101.35356 Takahashi, Takéo 96 2003 On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042 Magal, Pierre; Ruan, Shigui 92 2009 Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090 Glatt-Holtz, Nathan; Ziane, Mohammed 87 2009 Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085 Danchin, R. 85 2004 Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287 Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki 84 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. 84 2001 Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524 Gerbeau, J.-F.; Le Bris, C. 81 1997 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043 Antontsev, Stanislav; Zhikov, Vasilii 77 2005 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036 Bernis, F.; Garcia-Azorero, J.; Peral, I. 73 1996 Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125 Takaoka, Hideo 71 1999 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034 Bandle, Catherine; Giarrusso, Ester 71 1996 A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062 Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry 69 2016 An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095 Jeanjean, Louis; Le Coz, Stefan 68 2006 Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312 Di Francesco, Marco; Polidoro, Sergio 68 2006 Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005 Senba, Takasi; Suzuki, Takashi 68 2001 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093 Himonas, A. Alexandrou; Holliman, Curtis 68 2014 Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084 Beirão da Veiga, H. 67 2004 A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188 Ikoma, Norihisa; Tanaka, Kazunaga 67 2019 Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052 Malchiodi, Andrea 66 2008 On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223 Sirakov, Boyan 66 2000 \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509 Świech, Andrzej 66 1997 Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083 Temam, R.; Ziane, M. 66 1996 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051 Agueh, Martial 64 2005 The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050 Racke, Reinhard; Zheng, Songmu 62 2003 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046 Coulhon, Thierry; Duong, Xuan Thinh 61 2000 Stability of cnoidal waves. Zbl 1147.35079 Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 60 2006 The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518 Manfredini, Maria 60 1997 A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021 Bidaut-Veron, Marie Françoise; Giacomini, Hector 58 2010 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508 Gazzola, Filippo; Ruf, Bernhard 58 1997 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033 Blue, P.; Soffer, A. 57 2003 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058 Bernis, Francisco 56 1996 Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050 Alazard, Thomas 55 2005 First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427 Birindelli, Isabeau; Demengel, Françoise 50 2006 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500 Bhakta, Mousomi; Mukherjee, Debangana 48 2019 Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151 Clapp, Mónica; Weth, Tobias 47 2005 On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031 Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio 47 1996 On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020 Villani, Cédric 47 1996 The thin viscous flow equation in higher space dimensions. Zbl 0954.35035 Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther 47 1998 On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042 Chipot, M.; Shafrir, I.; Fila, M. 47 1996 Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013 Carbou, Gilles; Fabrie, Pierre 46 2003 Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042 Andreucci, Daniele; Tedeev, Anatoli F. 46 2005 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 46 1999 On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064 Benilan, Philippe; Wittbold, Petra 44 1996 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047 Bjorland, Clayton; Schonbek, Maria E. 42 2009 The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026 López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio 42 1996 Type-II blowup for a semilinear heat equation. Zbl 1122.35050 Mizoguchi, Noriko 41 2004 \(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385 Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A. 41 2005 Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151 Chipot, Michel; Savitska, Tetiana 41 2014 An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055 Colin, Thierry; Ghidaglia, Jean-Michel 41 2001 Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052 Alama, Stanley 41 1999 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031 Demengel, Françoise; Hebey, Emmanuel 41 1998 Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099 Jin, Qinian; Li, YanYan; Xu, Haoyuan 40 2008 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 40 2013 Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069 Kawohl, Bernd; Lucia, Marcello; Prashanth, S. 40 2007 Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388 Lieberman, Gary M. 39 2005 Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320 Messaoudi, Salim A.; Said-Houari, Belkacem 39 2009 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064 Gazzola, Filippo; Serrin, James; Tang, Moxun 39 2000 Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061 Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F. 39 2002 On coupled systems of Schrödinger equations. Zbl 1232.35063 Chen, Z.; Zou, W. 39 2011 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. 38 2004 Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058 Dore, Giovanni 38 2000 Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225 Candy, Timothy 38 2011 Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042 Iliev, I. D. 38 1996 Reaction-diffusion problems with non-Fredholm operators. Zbl 1180.35086 Ducrot, A.; Marion, M.; Volpert, V. 37 2008 \(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200 van Gennip, Yves; Bertozzi, Andrea L. 37 2012 Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034 Nakashima, Kimie; Yamada, Yoshio 37 1996 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 37 2014 The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072 Abels, Helmut 36 2005 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103 Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 36 1996 Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Zbl 1183.35035 Gerbi, Stéphane; Said-Houari, Belkacem 36 2008 A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019 Garcke, Harald; Novick-Cohen, Amy 36 2000 Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046 Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang 34 1999 On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525 Moise, I.; Rosa, R. 34 1997 Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016 Bereanu, C.; Mawhin, J. 33 2006 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. 33 2006 Local behaviour of the solutions of a class of nonlinear elliptic systems. Zbl 1005.35037 Bidaut-Veron, Marie-Francoise 32 2000 Monotonicity and symmetry results for \(p\)-Laplace equations and applications. Zbl 1002.35045 Damascelli, Lucio; Pacella, Filomena 32 2000 Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant. Zbl 1054.53061 Felli, Veronica 32 2002 Orbital stability of solitary waves for a nonlinear Schrödinger system. Zbl 1252.35253 Nguyen, Nghiem V.; Wang, Zhi-Qiang 32 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 32 1999 Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512 Bebernes, J. W.; Lacey, A. A. 32 1997 Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388 Du, Yihong; Li, Shujie 31 2005 Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102 Du, Yihong; Guo, Zongming 31 2013 On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262 Ciomaga, Adina 31 2012 The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051 Rey, Olivier 31 1999 Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\). Zbl 0947.35154 Goubet, Olivier 31 1998 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 30 2016 Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension. Zbl 1536.35101 Iagar, Razvan Gabriel; Latorre, Marta; Sánchez, Ariel 2 2024 Fundamental solution for super-critical non-symmetric Lévy-type operators. Zbl 1535.35007 Szczypkowski, Karol 2 2024 The Dirichlet problem for possibly singular elliptic equations with degenerate coercivity. Zbl 1533.35094 Durastanti, Riccardo; Oliva, Francescantonio 2 2024 Critical growth fractional Kirchhoff elliptic problems. Zbl 1547.35728 Goel, Divya; Rawat, Sushmita; Sreenadh, K. 2 2024 Regularity results to a class of elliptic equations with explicit \(u\)-dependence and Orlicz growth. Zbl 1540.35194 Capone, Claudia; Passarelli di Napoli, Antonia 1 2024 Regularizing effect for unbounded flux-limited viscosity solutions of a discontinuous Hamilton-Jacobi equation on junction. Zbl 1536.35141 El Khatib, Nader; Forcadel, Nicolas; Zaydan, Mamdouh 1 2024 Normalized ground states for Kirchhoff type equations with general nonlinearities. Zbl 1532.35209 Hu, Jing; Sun, Jijiang 1 2024 The modified scattering for Dirac equations of scattering-critical nonlinearity. Zbl 1542.35334 Cho, Yonggeun; Kwon, Soonsik; Lee, Kiyeon; Yang, Changhun 1 2024 A robust multiplicity result in a generalized diffusive predator-prey model. Zbl 1533.35124 López-Gómez, Julián; Muñoz-Hernández, Eduardo 1 2024 Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping. Zbl 1518.35135 Tavares, E. H. Gomes; Silva, M. A. Jorge; Narciso, V.; Vicente, A. 6 2023 \(\mathbb{H}^1\)-random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains. Zbl 1519.35034 Kinra, Kush; Mohan, Manil T. 3 2023 The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis. Zbl 1538.35342 Faminskii, Andrei V. 3 2023 Multiplicity results of solutions to the double phase anisotropic variational problems involving variable exponent. Zbl 1518.35357 Cen, Jinxia; Kim, Seong Jin; Kim, Yun-Ho; Zeng, Shengda 3 2023 A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. Zbl 1500.49010 Brizzi, Camilla; De Pascale, Luigi 2 2023 Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity. Zbl 1501.35363 Bégout, Pascal; Díaz, Jesús Ildefonso 2 2023 Existence of positive solution for a class of elliptic problems with indefinite nonlinearities with critical and supercritical growth. Zbl 1518.35385 Costa, Gustavo S. A.; Figueiredo, Giovany M.; Carlos O., José jun. 2 2023 The linearized 3D Euler equations with inflow, outflow. Zbl 1524.76123 Gie, Gung-Min; Kelliher, James P.; Mazzucato, Anna L. 2 2023 Double-wall carbon nanotubes model with nonlinear localized damping: asymptotic stability. Zbl 1519.35317 Santos, M. L.; Almeida Júnior, D. S.; Cordeiro, S. M. S.; Lobato, R. F. C. 1 2023 Global dynamics of a mosquito population suppression model with seasonal switching. Zbl 1521.34055 Chen, Yining; Wang, Yufeng; Yu, Jianshe; Zheng, Bo; Zhu, Zhongcai 1 2023 Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Zbl 1520.35157 Winkler, Michael 1 2023 Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator. Zbl 1501.35065 Klimsiak, Tomasz 1 2023 Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth. Zbl 1501.35169 Guan, Wen; Wang, Da-Bin 1 2023 Landesman-Lazer type conditions for scalar one-sided superlinear nonlinearities with Neumann boundary conditions. Zbl 1508.34013 Marvulli, Rossella; Sfecci, Andrea 1 2023 Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems. Zbl 1500.35236 Grundland, A. M.; de Lucas, J. 1 2023 Hierarchical exact controllability of hyperbolic equations and Dunford-Pettis’ theorem. Zbl 1518.35474 Araruna, Fágner D.; Fernández-Cara, Enrique; Da Silva, Luciano C. 1 2023 Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality. Zbl 1518.35393 Anoop, T. V.; Kumar, K. Ashok 1 2023 Impulsive evolution processes: abstract results and an application to a coupled wave equations. Zbl 1518.35130 Bonotto, Everaldo M.; Nascimento, Marcelo J. D.; Santiago, Eric B. 1 2023 Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries. Zbl 1518.35168 Bardi, Martino; Goffi, Alessandro 1 2023 Double phase obstacle problems with variable exponent. Zbl 1497.35146 Zeng, Shengda; Rădulescu, Vicențiu D.; Winkert, Patrick 18 2022 Quasilinear double phase problems in the whole space via perturbation methods. Zbl 1486.35205 Ge, Bin; Pucci, Patrizia 10 2022 On a class of nonlocal Schrödinger equations with exponential growth. Zbl 1494.35017 Bisci, Giovanni Molica; Van Thin, Nguyen; Vilasi, Luca 10 2022 Critical problems with Hardy potential on stratified Lie groups. Zbl 1498.35558 Loiudice, Annunziata 7 2022 On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary. Zbl 1493.53090 Ginoux, Nicolas; Murro, Simone 6 2022 Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds. Zbl 1498.35128 Jleli, Mohamed; Ragusa, Maria Alessandra; Samet, Bessem 6 2022 Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 1512.35535 Hebey, Emmanuel 5 2022 Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces. Zbl 1496.35160 de Borbón, María Laura; Del Pezzo, Leandro M.; Ochoa, Pablo 4 2022 Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. Zbl 1484.35386 Lewicka, Marta 3 2022 Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks. Zbl 1496.35288 Bravin, Marco; Sueur, Franck 2 2022 Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds. Zbl 1496.35375 Colinet, Andrew 2 2022 Entire solutions of combustion reaction-diffusion equations in exterior domains. Zbl 1487.35027 Jia, Fu-Jie; Wang, Zhi-Cheng; Zhang, Suo-Bing 2 2022 Normalized ground states to a cooperative system of Schrödinger equations with generic \(L^2\)-subcritical or \(L^2\)-critical nonlinearity. Zbl 1494.35137 Schino, Jacopo 2 2022 On a generalized Cahn-Hilliard model with \(p\)-Laplacian. Zbl 1494.35034 Folino, Raffaele; Ríos, Luis F. López; Strani, Marta 2 2022 Qualitative properties of singular solutions of Choquard equations. Zbl 1500.35152 Chen, Huyuan; Zhou, Feng 2 2022 On decay of the solutions for the dispersion generalized Benjamin-Ono and Benjamin-Ono equations. Zbl 1496.35074 Cunha, Alysson 1 2022 On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces. Zbl 1485.35393 Jung, Tacksun; Choi, Q-Heung 1 2022 On the Kirchhoff type equations in \(\mathbb{R}^N \). Zbl 1485.35221 Sun, Juntao; Wu, Tsung-Fang 1 2022 Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source. Zbl 1485.35021 Dong, Jingyi; Hu, Jiamei; Zhang, Yibin 1 2022 On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit. Zbl 1497.53019 Caldiroli, Paolo; Iacopetti, Alessandro; Musso, Monica 1 2022 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056 Jiang, Huite; Zhao, Caidi 18 2021 The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries. Zbl 1480.35410 Cao, Jia-Feng; Li, Wan-Tong; Wang, Jie; Zhao, Meng 10 2021 Strong attractors and their continuity for the semilinear wave equations with fractional damping. Zbl 1480.35043 Li, Yanan; Yang, Zhijian 8 2021 On an anisotropic \(p\)-Laplace equation with variable singular exponent. Zbl 1485.35244 Bal, Kaushik; Garain, Prashanta; Mukherjee, Tuhina 7 2021 Multiplicity and concentration results for local and fractional NLS equations with critical growth. Zbl 1487.35034 Gallo, Marco 6 2021 Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Zbl 1485.35404 Restrepo, Joel E.; Suragan, Durvudkhan 5 2021 Existence of two positive solutions for anisotropic nonlinear elliptic equations. Zbl 1480.35267 Bonanno, G.; D’Aguì, G.; Sciammetta, A. 4 2021 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246 Wang, Xiaoming; Wu, Hao 3 2021 On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions. Zbl 1480.35268 Cao, Xiao-Feng; Ge, Bin; Zhang, Bei-Lei 3 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 3 2021 Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. Zbl 1480.35400 Xiang, Mingqi; Zhang, Binlin 3 2021 The Paneitz curvature problem on \(S^n\). Zbl 1485.35168 Alghanemi, Azeb; Bensouf, Aymen; Chtioui, Hichem 3 2021 Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities. Zbl 1480.35269 Chu, Chang-Mu 2 2021 Schrödinger-Maxwell systems with interplay between coefficients and data. Zbl 1480.35177 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 2 2021 An apparently unnatural estimate about forward-backward parabolic equations. Zbl 1480.35073 Paronetto, Fabio 1 2021 Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities. Zbl 1480.35209 Chen, Siyu; Santos, Carlos Alberto; Yang, Minbo; Zhou, Jiazheng 1 2021 Blow-up rate of sign-changing solutions to nonlinear parabolic systems. Zbl 1484.35090 Zhanpeisov, Erbol 1 2021 Non-divergence operators structured on homogeneous Hörmander vector fields: heat kernels and global Gaussian bounds. Zbl 1484.35269 Biagi, Stefano; Bramanti, Marco 1 2021 On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334 Hu, Yanbo; Li, Jiequan 13 2020 Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306 Li, Xinfu; Ma, Shiwang; Zhang, Guang 9 2020 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061 Hayashi, Nakao; Naumkin, Pavel I. 6 2020 Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044 Yang, Rui; Lee, Yong-Hoon 6 2020 Navier-Stokes equations in a curved thin domain. III: Thin-film limit. Zbl 1468.35112 Miura, Tatsu-Hiko 5 2020 Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity. Zbl 1448.35127 Liang, Sihua; Chung, Nguyen Thanh; Zhang, Binlin 4 2020 On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. Zbl 1466.35129 Chen, Sitong; Tang, Xianhua 3 2020 Spectral identities and smoothing estimates for evolution operators. Zbl 1465.35074 Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru 2 2020 Primitive equations with half horizontal viscosity. Zbl 1470.35290 Saal, Martin 2 2020 Stability of polytropic filtration equation with variable exponents. Zbl 1447.35308 Feng, Zhaosheng; Zhan, Huashui 2 2020 Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms. Zbl 1458.34071 Bai, Yuzhen; Xia, Yonghui; Zhu, Wenjing 2 2020 On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281 Zhao, Xiaopeng 2 2020 Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406 Ge, Bin; Wang, Li-Yan 2 2020 Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group. Zbl 1443.34043 Kowalczyk, Marta; Pérez-Chavela, Ernesto; Rybicki, Sławomir 1 2020 On ground state of fractional spinor Bose Einstein condensates. Zbl 1437.35172 Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua 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 67 2019 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500 Bhakta, Mousomi; Mukherjee, Debangana 48 2019 A time-fractional mean field game. Zbl 1442.35502 Camilli, Fabio; De Maio, Raul 13 2019 On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 10 2019 Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573 Fukumoto, Yasuhide; Zhao, Xiaopeng 8 2019 Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239 Liu, Yingying; Zhang, Zhengce; Zhu, Liping 8 2019 No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104 Esteve, Carlos; Souplet, Philippe 5 2019 Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537 Higaki, Mitsuo 5 2019 Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. Zbl 1442.53004 Nagasawa, Takeyuki; Nakamura, Kohei 4 2019 Non-uniform dependence on initial data for equations of Whitham type. Zbl 1437.35605 Arnesen, Mathias Nikolai 3 2019 Global \(L^r\)-estimates and regularizing effect for solutions to the \(p(t,x)\)-Laplacian systems. Zbl 1442.35225 Crispo, F.; Maremonti, P.; Růžička, M. 3 2019 Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611 Tanaka, Tomoyuki 3 2019 Hénon type equations with jumping nonlinearities involving critical growth. Zbl 1437.35230 Barboza, Eudes Mendes; Ribeiro, Bruno; Do Ó, João Marcos 2 2019 Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620 Correia, Simão; Figueira, Mário 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 Dispersive mixed-order systems in \(L^p\)-Sobolev spaces and application to the thermoelastic plate equation. Zbl 1437.35168 Denk, Robert; Hummel, Felix 1 2019 Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points. Zbl 1445.35112 Lastra, Alberto; Malek, Stéphane 1 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 30 2018 ...and 824 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,343 Authors 78 Wei, Juncheng 54 Zou, Wenming 52 Tang, Xianhua 46 Alves, Claudianor Oliveira 46 Li, Wan-Tong 43 Kang, Dongsheng 39 Figueiredo, Giovany Malcher 38 Miyagaki, Olimpio Hiroshi 38 Pucci, Patrizia 37 Peng, Shuangjie 37 Pistoia, Angela 37 Vougalter, Vitali 36 Rossi, Julio Daniel 36 Volpert, Vitaly A. 33 Lasiecka, Irena 31 Ambrosio, Vincenzo 31 Ding, Yanheng 30 Sreenadh, Konijeti 30 Wang, Zhi-Qiang 30 Wu, Jiahong 30 Zuazua, Enrique 28 Do Ó, João M. 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Matematica e Applicazioni 23 Advances in Differential Equations 23 Journal of Inequalities and Applications 23 Fractional Calculus & Applied Analysis 23 Annales Henri Poincaré 23 Analysis and Mathematical Physics 23 Journal of Applied Analysis and Computation ...and 489 more Journals all top 5 Cited in 58 Fields 10,118 Partial differential equations (35-XX) 1,832 Fluid mechanics (76-XX) 949 Operator theory (47-XX) 718 Ordinary differential equations (34-XX) 620 Calculus of variations and optimal control; optimization (49-XX) 606 Biology and other natural sciences (92-XX) 544 Systems theory; control (93-XX) 537 Numerical analysis (65-XX) 533 Dynamical systems and ergodic theory (37-XX) 510 Global analysis, analysis on manifolds (58-XX) 494 Mechanics of deformable solids (74-XX) 324 Differential geometry (53-XX) 307 Functional analysis (46-XX) 273 Probability theory and stochastic processes (60-XX) 237 Integral equations (45-XX) 208 Harmonic analysis on Euclidean spaces (42-XX) 204 Statistical mechanics, structure of matter (82-XX) 196 Real functions (26-XX) 170 Classical thermodynamics, heat transfer (80-XX) 152 Quantum theory (81-XX) 135 Optics, electromagnetic theory (78-XX) 107 Geophysics (86-XX) 96 Potential theory (31-XX) 82 Relativity and gravitational theory (83-XX) 62 Mechanics of particles and systems (70-XX) 61 Measure and integration (28-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Approximations and expansions (41-XX) 42 Difference and functional equations (39-XX) 39 Functions of a complex variable (30-XX) 36 Abstract harmonic analysis (43-XX) 35 Computer science (68-XX) 31 Operations research, mathematical programming (90-XX) 30 Statistics (62-XX) 24 Special functions (33-XX) 24 Information and communication theory, circuits (94-XX) 22 Topological groups, Lie groups (22-XX) 18 Integral transforms, operational calculus (44-XX) 16 Combinatorics (05-XX) 15 Convex and discrete geometry (52-XX) 14 Several complex variables and analytic spaces (32-XX) 13 History and biography (01-XX) 13 Astronomy and astrophysics (85-XX) 11 General topology (54-XX) 9 General and overarching topics; collections (00-XX) 8 Algebraic topology (55-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Manifolds and cell complexes (57-XX) 5 Nonassociative rings and algebras (17-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) Citations by Year