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: 1,038 Publications (since 1996) References Indexed: 94 Publications with 3,487 References. all top 5 Latest Issues 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) 13, No. 3-4 (2008) 13, No. 1-2 (2008) 12, No. 12 (2007) ...and 103 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 Barbu, Viorel 4 Caldiroli, Paolo 4 Cho, Yonggeun 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 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 Antontsev, Stanislav Nikolaevich 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 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 3 Scialom, Marcia 3 Sinestrari, Eugenio ...and 1,326 more Authors all top 5 Fields 941 Partial differential equations (35-XX) 139 Fluid mechanics (76-XX) 123 Operator theory (47-XX) 105 Ordinary differential equations (34-XX) 70 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) 37 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) 3 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 894 Publications have been cited 12,160 times in 10,524 Documents Cited by ▼ Year ▼ Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513 Chen, Xinfu 291 1997 Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061 Kryszewski, Wojciech; Szulkin, Andrzej 235 1998 On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045 Terracini, Susanna 225 1996 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034 Fernández-Cara, Enrique; Zuazua, Enrique 156 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. 154 2001 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 131 1996 Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010 Goldstein, Gisèle Ruiz 120 2006 On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065 Kang, Xiaosong; Wei, Juncheng 105 2000 On a singularly perturbed elliptic equation. Zbl 1023.35500 Li, YanYan 99 1997 On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073 Hmidi, Taoufik; Keraani, Sahbi 99 2007 Null controllability of degenerate heat equations. Zbl 1145.35408 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 96 2005 Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048 Devillanova, Giuseppe; Solimini, Sergio 94 2002 Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527 Escher, Joachim; Simonett, Gieri 94 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 87 2003 On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042 Magal, Pierre; Ruan, Shigui 79 2009 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. 76 2001 Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085 Danchin, R. 74 2004 Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287 Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki 72 2004 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043 Antontsev, Stanislav; Zhikov, Vasilii 71 2005 Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524 Gerbeau, J.-F.; Le Bris, C. 71 1997 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034 Bandle, Catherine; Giarrusso, Ester 70 1996 Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090 Glatt-Holtz, Nathan; Ziane, Mohammed 70 2009 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036 Bernis, F.; Garcia-Azorero, J.; Peral, I. 67 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 63 2006 Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125 Takaoka, Hideo 63 1999 Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052 Malchiodi, Andrea 63 2008 \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509 Świech, Andrzej 63 1997 Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083 Temam, R.; Ziane, M. 62 1996 Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084 Beirão da Veiga, H. 62 2004 An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095 Jeanjean, Louis; Le Coz, Stefan 61 2006 On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223 Sirakov, Boyan 61 2000 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046 Coulhon, Thierry; Duong, Xuan Thinh 60 2000 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051 Agueh, Martial 60 2005 A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062 Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry 60 2016 The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050 Racke, Reinhard; Zheng, Songmu 59 2003 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093 Himonas, A. Alexandrou; Holliman, Curtis 59 2014 Stability of cnoidal waves. Zbl 1147.35079 Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 58 2006 Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005 Senba, Takasi; Suzuki, Takashi 57 2001 A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021 Bidaut-Veron, Marie Françoise; Giacomini, Hector 55 2010 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508 Gazzola, Filippo; Ruf, Bernhard 55 1997 The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518 Manfredini, Maria 55 1997 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058 Bernis, Francisco 54 1996 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033 Blue, P.; Soffer, A. 51 2003 Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050 Alazard, Thomas 51 2005 First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427 Birindelli, Isabeau; Demengel, Françoise 48 2006 The thin viscous flow equation in higher space dimensions. Zbl 0954.35035 Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther 46 1998 A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188 Ikoma, Norihisa; Tanaka, Kazunaga 46 2019 On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042 Chipot, M.; Shafrir, I.; Fila, M. 44 1996 Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013 Carbou, Gilles; Fabrie, Pierre 44 2003 On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064 Benilan, Philippe; Wittbold, Petra 44 1996 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 43 1999 Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042 Andreucci, Daniele; Tedeev, Anatoli F. 43 2005 On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020 Villani, Cédric 42 1996 Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151 Clapp, Mónica; Weth, Tobias 42 2005 On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031 Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio 41 1996 The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026 López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio 41 1996 An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055 Colin, Thierry; Ghidaglia, Jean-Michel 40 2001 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500 Bhakta, Mousomi; Mukherjee, Debangana 40 2019 Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052 Alama, Stanley 39 1999 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064 Gazzola, Filippo; Serrin, James; Tang, Moxun 39 2000 Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042 Iliev, I. D. 38 1996 Type-II blowup for a semilinear heat equation. Zbl 1122.35050 Mizoguchi, Noriko 38 2004 Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099 Jin, Qinian; Li, YanYan; Xu, Haoyuan 38 2008 Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225 Candy, Timothy 37 2011 Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151 Chipot, Michel; Savitska, Tetiana 37 2014 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031 Demengel, Françoise; Hebey, Emmanuel 36 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. 36 2004 \(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385 Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A. 36 2005 Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058 Dore, Giovanni 35 2000 Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388 Lieberman, Gary M. 35 2005 Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320 Messaoudi, Salim A.; Said-Houari, Belkacem 35 2009 Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034 Nakashima, Kimie; Yamada, Yoshio 35 1996 Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061 Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F. 35 2002 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103 Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 34 1996 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047 Bjorland, Clayton; Schonbek, Maria E. 34 2009 Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Zbl 1183.35035 Gerbi, Stéphane; Said-Houari, Belkacem 34 2008 \(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200 van Gennip, Yves; Bertozzi, Andrea L. 34 2012 On coupled systems of Schrödinger equations. Zbl 1232.35063 Chen, Z.; Zou, W. 33 2011 Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069 Kawohl, Bernd; Lucia, Marcello; Prashanth, S. 33 2007 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 33 2014 Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016 Bereanu, C.; Mawhin, J. 32 2006 On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525 Moise, I.; Rosa, R. 32 1997 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 32 2013 A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019 Garcke, Harald; Novick-Cohen, Amy 31 2000 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. 31 2006 Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512 Bebernes, J. W.; Lacey, A. A. 31 1997 Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008 Hieber, Matthias; Prüss, Jan 30 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 30 1999 On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262 Ciomaga, Adina 30 2012 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 29 1998 The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051 Rey, Olivier 29 1999 Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046 Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang 29 1999 The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072 Abels, Helmut 29 2005 Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388 Du, Yihong; Li, Shujie 29 2005 Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068 Sugiyama, Yoshie 29 2007 On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283 Fiscella, Alessio; Pucci, Patrizia 29 2016 Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102 Du, Yihong; Guo, Zongming 29 2013 Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\). Zbl 0947.35154 Goubet, Olivier 28 1998 Orbital stability of solitary waves for a nonlinear Schrödinger system. Zbl 1252.35253 Nguyen, Nghiem V.; Wang, Zhi-Qiang 28 2011 On the structure of positive radial solutions for quasilinear equations in annular domains. Zbl 1042.34052 Wang, Haiyan 28 2003 \(\mathbb{H}^1\)-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 07700335 Faminskii, Andrei V. 2 2023 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. 2 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 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 1 2023 The linearized 3D Euler equations with inflow, outflow. Zbl 1524.76123 Gie, Gung-Min; Kelliher, James P.; Mazzucato, Anna L. 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 10 2022 Quasilinear double phase problems in the whole space via perturbation methods. Zbl 1486.35205 Ge, Bin; Pucci, Patrizia 6 2022 On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary. Zbl 1493.53090 Ginoux, Nicolas; Murro, Simone 4 2022 On a class of nonlocal Schrödinger equations with exponential growth. Zbl 1494.35017 Bisci, Giovanni Molica; Van Thin, Nguyen; Vilasi, Luca 3 2022 Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds. Zbl 1498.35128 Jleli, Mohamed; Ragusa, Maria Alessandra; Samet, Bessem 3 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 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 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 2 2022 Critical problems with Hardy potential on stratified Lie groups. Zbl 1498.35558 Loiudice, Annunziata 2 2022 Qualitative properties of singular solutions of Choquard equations. Zbl 1500.35152 Chen, Huyuan; Zhou, Feng 2 2022 Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. Zbl 1484.35386 Lewicka, Marta 2 2022 Entire solutions of combustion reaction-diffusion equations in exterior domains. Zbl 1487.35027 Jia, Fu-Jie; Wang, Zhi-Cheng; Zhang, Suo-Bing 1 2022 Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds. Zbl 1496.35375 Colinet, Andrew 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 On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces. Zbl 1485.35393 Jung, Tacksun; Choi, Q-Heung 1 2022 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056 Jiang, Huite; Zhao, Caidi 14 2021 Strong attractors and their continuity for the semilinear wave equations with fractional damping. Zbl 1480.35043 Li, Yanan; Yang, Zhijian 8 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 8 2021 On an anisotropic \(p\)-Laplace equation with variable singular exponent. Zbl 1485.35244 Bal, Kaushik; Garain, Prashanta; Mukherjee, Tuhina 5 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 Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. Zbl 1480.35400 Xiang, Mingqi; Zhang, Binlin 3 2021 Multiplicity and concentration results for local and fractional NLS equations with critical growth. Zbl 1487.35034 Gallo, Marco 3 2021 Existence of two positive solutions for anisotropic nonlinear elliptic equations. Zbl 1480.35267 Bonanno, G.; D’Aguì, G.; Sciammetta, A. 2 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 2 2021 Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Zbl 1485.35404 Restrepo, Joel E.; Suragan, Durvudkhan 2 2021 The Paneitz curvature problem on \(S^n\). Zbl 1485.35168 Alghanemi, Azeb; Bensouf, Aymen; Chtioui, Hichem 2 2021 An apparently unnatural estimate about forward-backward parabolic equations. Zbl 1480.35073 Paronetto, Fabio 1 2021 Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities. Zbl 1480.35269 Chu, Chang-Mu 1 2021 Blow-up rate of sign-changing solutions to nonlinear parabolic systems. Zbl 1484.35090 Zhanpeisov, Erbol 1 2021 On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334 Hu, Yanbo; Li, Jiequan 12 2020 Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306 Li, Xinfu; Ma, Shiwang; Zhang, Guang 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 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061 Hayashi, Nakao; Naumkin, Pavel I. 4 2020 Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044 Yang, Rui; Lee, Yong-Hoon 4 2020 Navier-Stokes equations in a curved thin domain. III: Thin-film limit. Zbl 1468.35112 Miura, Tatsu-Hiko 3 2020 On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281 Zhao, Xiaopeng 2 2020 Spectral identities and smoothing estimates for evolution operators. Zbl 1465.35074 Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru 2 2020 On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. Zbl 1466.35129 Chen, Sitong; Tang, Xianhua 2 2020 Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406 Ge, Bin; Wang, Li-Yan 2 2020 Stability of polytropic filtration equation with variable exponents. Zbl 1447.35308 Feng, Zhaosheng; Zhan, Huashui 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 Primitive equations with half horizontal viscosity. Zbl 1470.35290 Saal, Martin 1 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 46 2019 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500 Bhakta, Mousomi; Mukherjee, Debangana 40 2019 A time-fractional mean field game. Zbl 1442.35502 Camilli, Fabio; De Maio, Raul 11 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 On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 8 2019 Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239 Liu, Yingying; Zhang, Zhengce; Zhu, Liping 6 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 No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104 Esteve, Carlos; Souplet, Philippe 3 2019 Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611 Tanaka, Tomoyuki 3 2019 Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620 Correia, Simão; Figueira, Mário 2 2019 Non-uniform dependence on initial data for equations of Whitham type. Zbl 1437.35605 Arnesen, Mathias Nikolai 2 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. 2 2019 Hénon type equations with jumping nonlinearities involving critical growth. Zbl 1437.35230 Barboza, Eudes Mendes; Ribeiro, Bruno; Do Ó, João Marcos 2 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 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 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 26 2018 Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087 Deng, Yinbin; Shuai, Wei 17 2018 Mountain pass solutions for the fractional Berestycki-Lions problem. Zbl 1388.35206 Ambrosio, Vincenzo 16 2018 Regularity and time behavior of the solutions of linear and quasilinear parabolic equations. Zbl 1390.35115 Porzio, Maria Michaela 11 2018 Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity. Zbl 1391.35249 Majdoub, Mohamed; Otsmane, Sarah; Tayachi, Slim 10 2018 Global regularity of the 2D magnetic Bénard system with partial dissipation. Zbl 1420.35267 Ye, Zhuan 8 2018 Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072 Mastrolia, P.; Monticelli, D. D.; Punzo, F. 7 2018 Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity. Zbl 1391.35262 Sobajima, Motohiro; Wakasugi, Yuta 6 2018 Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity. Zbl 1386.35266 Sasaki, Takiko 5 2018 Traveling waves in a simplified gas-solid combustion model in porous media. Zbl 1386.35351 Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori 5 2018 Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397 Miyagaki, Olímpio H.; Pereira, Fábio 5 2018 Global existence for the heat flow of symphonic maps into spheres. Zbl 1406.58011 Misawa, Masashi; Nakauchi, Nobumitsu 5 2018 On the focusing energy-critical fractional nonlinear Schrödinger equations. Zbl 1383.35206 Cho, Yonggeun; Hwang, Gyeongha; Ozawa, Tohru 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 4 2018 Transport and equilibrium in non-conservative systems. Zbl 1433.35402 Chayes, L.; Lei, H. K. 3 2018 Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491 Hayashi, Nakao; Naumkin, Pavel I. 3 2018 Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394 Okamoto, Mamoru 3 2018 Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028 Mukherjee, Mayukh 2 2018 Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180 Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba 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 On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential. Zbl 1404.35408 Cho, Yonggeun; Hwang, Gyeongha; Yang, Changhun 2 2018 Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies. Zbl 1386.74024 Court, Sébastien; Kunisch, Karl 1 2018 The Friedrichs extension for elliptic wedge operators of second order. Zbl 1380.58021 Krainer, Thomas; Mendoza, Gerardo A. 1 2018 Local Hardy and Rellich inequalities for sums of squares of vector fields. Zbl 1373.35016 Ruzhansky, Michael; Suragan, Durvudkhan 23 2017 Removable singularities for degenerate elliptic Pucci operators. Zbl 1366.35048 Galise, Giulio; Vitolo, Antonio 20 2017 On the local pressure of the Navier-Stokes equations and related systems. Zbl 1457.76056 Wolf, Jörg 16 2017 Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. Zbl 1379.35122 Naimen, D.; Tarsi, C. 14 2017 ...and 794 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,564 Authors 69 Wei, Juncheng 51 Zou, Wenming 47 Tang, Xianhua 42 Alves, Claudianor Oliveira 42 Kang, Dongsheng 36 Figueiredo, Giovany Malcher 36 Li, Wan-Tong 35 Pistoia, Angela 34 Peng, Shuangjie 34 Pucci, Patrizia 33 Rossi, Julio Daniel 32 Miyagaki, Olimpio Hiroshi 32 Volpert, Vitaly A. 30 Ding, Yanheng 30 Wang, Zhi-Qiang 30 Wu, Jiahong 29 Lasiecka, Irena 28 Ishige, Kazuhiro 28 Zuazua, Enrique 27 Ambrosio, Vincenzo 27 Vougalter, Vitali 26 Guo, Yuxia 26 Yan, Shusen 25 Giacomoni, Jacques 25 Kukavica, Igor 25 Maniar, Lahcen 25 Tang, Chun-Lei 24 Do Ó, João M. 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Theory, Methods & Applications. Series A: Theory and Methods 268 Calculus of Variations and Partial Differential Equations 217 Discrete and Continuous Dynamical Systems 209 Journal of Functional Analysis 180 Archive for Rational Mechanics and Analysis 177 Communications on Pure and Applied Analysis 160 Nonlinear Analysis. Real World Applications 151 ZAMP. Zeitschrift für angewandte Mathematik und Physik 146 NoDEA. Nonlinear Differential Equations and Applications 142 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 137 Journal de Mathématiques Pures et Appliquées. Neuvième Série 136 Journal of Evolution Equations 123 Mathematical Methods in the Applied Sciences 117 SIAM Journal on Mathematical Analysis 111 Annali di Matematica Pura ed Applicata. Serie Quarta 107 Journal of Mathematical Physics 100 Discrete and Continuous Dynamical Systems. 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Series B 26 Bulletin des Sciences Mathématiques 26 SN Partial Differential Equations and Applications 25 Archiv der Mathematik 24 Journal of Scientific Computing 23 Journal of Optimization Theory and Applications 23 Annales Henri Poincaré 23 Advances in Difference Equations 22 Rendiconti del Circolo Matemàtico di Palermo. Serie II 22 Journal of Dynamical and Control Systems 22 Journal of Function Spaces 22 Nonlinear Analysis. Theory, Methods & Applications 21 Rocky Mountain Journal of Mathematics 21 Memoirs of the American Mathematical Society 21 Ricerche di Matematica 21 Studies in Applied Mathematics 21 Applied Numerical Mathematics 21 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 21 Analysis and Mathematical Physics 21 Mathematics in Engineering 20 Israel Journal of Mathematics 20 Advances in Differential Equations 20 Journal of Inequalities and Applications 20 Journal of the European Mathematical Society (JEMS) 20 Qualitative Theory of Dynamical Systems ...and 463 more Journals all top 5 Cited in 54 Fields 9,113 Partial differential equations (35-XX) 1,643 Fluid mechanics (76-XX) 865 Operator theory (47-XX) 662 Ordinary differential equations (34-XX) 558 Calculus of variations and optimal control; optimization (49-XX) 532 Biology and other natural sciences (92-XX) 491 Systems theory; control (93-XX) 472 Dynamical systems and ergodic theory (37-XX) 472 Global analysis, analysis on manifolds (58-XX) 470 Numerical analysis (65-XX) 448 Mechanics of deformable solids (74-XX) 292 Differential geometry (53-XX) 285 Functional analysis (46-XX) 236 Probability theory and stochastic processes (60-XX) 212 Integral equations (45-XX) 195 Harmonic analysis on Euclidean spaces (42-XX) 187 Statistical mechanics, structure of matter (82-XX) 170 Real functions (26-XX) 152 Classical thermodynamics, heat transfer (80-XX) 141 Quantum theory (81-XX) 120 Optics, electromagnetic theory (78-XX) 98 Geophysics (86-XX) 83 Potential theory (31-XX) 76 Relativity and gravitational theory (83-XX) 58 Mechanics of particles and systems (70-XX) 54 Measure and integration (28-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Approximations and expansions (41-XX) 37 Difference and functional equations (39-XX) 36 Functions of a complex variable (30-XX) 34 Abstract harmonic analysis (43-XX) 30 Computer science (68-XX) 27 Operations research, mathematical programming (90-XX) 25 Statistics (62-XX) 22 Information and communication theory, circuits (94-XX) 21 Special functions (33-XX) 19 Topological groups, Lie groups (22-XX) 17 Combinatorics (05-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Integral transforms, operational calculus (44-XX) 13 History and biography (01-XX) 13 Convex and discrete geometry (52-XX) 12 Astronomy and astrophysics (85-XX) 11 General topology (54-XX) 8 Algebraic topology (55-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 Sequences, series, summability (40-XX) Citations by Year