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: Indexed cover-to-cover Documents Indexed: 1,009 Publications (since 1996) References Indexed: 65 Publications with 2,392 References. all top 5 Latest Issues 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) 12, No. 11 (2007) 12, No. 10 (2007) 12, No. 9 (2007) 12, No. 8 (2007) 12, No. 7 (2007) 12, No. 6 (2007) 12, No. 5 (2007) ...and 96 more Volumes all top 5 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 Ragusa, Maria Alessandra 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 ...and 1,271 more Authors all top 5 Fields 917 Partial differential equations (35-XX) 138 Fluid mechanics (76-XX) 119 Operator theory (47-XX) 103 Ordinary differential equations (34-XX) 69 Global analysis, analysis on manifolds (58-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 51 Mechanics of deformable solids (74-XX) 49 Dynamical systems and ergodic theory (37-XX) 37 Differential geometry (53-XX) 31 Functional analysis (46-XX) 30 Integral equations (45-XX) 27 Biology and other natural sciences (92-XX) 25 Systems theory; control (93-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Real functions (26-XX) 15 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) 11 Probability theory and stochastic processes (60-XX) 10 Potential theory (31-XX) 10 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 863 Publications have been cited 10,922 times in 9,405 Documents Cited by ▼ Year ▼ Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513Chen, Xinfu 268 1997 On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045Terracini, Susanna 212 1996 Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061Kryszewski, Wojciech; Szulkin, Andrzej 211 1998 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034Fernández-Cara, Enrique; Zuazua, Enrique 146 2000 Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation. Zbl 1007.35049Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A. 138 2001 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 122 1996 On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065Kang, Xiaosong; Wei, Juncheng 101 2000 Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010Goldstein, Gisèle Ruiz 100 2006 On a singularly perturbed elliptic equation. Zbl 1023.35500Li, YanYan 96 1997 Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048Devillanova, Giuseppe; Solimini, Sergio 89 2002 Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527Escher, Joachim; Simonett, Gieri 89 1997 On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073Hmidi, Taoufik; Keraani, Sahbi 89 2007 Null controllability of degenerate heat equations. Zbl 1145.35408Cannarsa, P.; Martinez, P.; Vancostenoble, J. 86 2005 Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain. Zbl 1101.35356Takahashi, Takéo 72 2003 On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042Magal, Pierre; Ruan, Shigui 71 2009 On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085Málek, J.; Nečas, J.; Růžička, M. 70 2001 Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524Gerbeau, J.-F.; Le Bris, C. 67 1997 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034Bandle, Catherine; Giarrusso, Ester 66 1996 Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085Danchin, R. 66 2004 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036Bernis, F.; Garcia-Azorero, J.; Peral, I. 63 1996 Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki 62 2004 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043Antontsev, Stanislav; Zhikov, Vasilii 62 2005 Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052Malchiodi, Andrea 59 2008 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051Agueh, Martial 59 2005 Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125Takaoka, Hideo 57 1999 \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509Świech, Andrzej 56 1997 Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090Glatt-Holtz, Nathan; Ziane, Mohammed 56 2009 On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223Sirakov, Boyan 56 2000 Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083Temam, R.; Ziane, M. 55 1996 Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084Beirão da Veiga, H. 55 2004 The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050Racke, Reinhard; Zheng, Songmu 54 2003 Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312Di Francesco, Marco; Polidoro, Sergio 54 2006 Stability of cnoidal waves. Zbl 1147.35079Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 54 2006 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 54 2000 An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095Jeanjean, Louis; Le Coz, Stefan 53 2006 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058Bernis, Francisco 52 1996 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508Gazzola, Filippo; Ruf, Bernhard 50 1997 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093Himonas, A. Alexandrou; Holliman, Curtis 50 2014 A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry 50 2016 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 49 2003 A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021Bidaut-Veron, Marie Françoise; Giacomini, Hector 49 2010 Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005Senba, Takasi; Suzuki, Takashi 47 2001 Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050Alazard, Thomas 45 2005 On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064Benilan, Philippe; Wittbold, Petra 44 1996 The thin viscous flow equation in higher space dimensions. Zbl 0954.35035Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther 44 1998 The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518Manfredini, Maria 43 1997 On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042Chipot, M.; Shafrir, I.; Fila, M. 42 1996 Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407Bates, Peter W.; Dancer, E. Norman; Shi, Junping 42 1999 Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013Carbou, Gilles; Fabrie, Pierre 41 2003 Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151Clapp, Mónica; Weth, Tobias 41 2005 First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427Birindelli, Isabeau; Demengel, Françoise 41 2006 On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio 39 1996 The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio 38 1996 Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042Iliev, I. D. 37 1996 Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052Alama, Stanley 37 1999 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064Gazzola, Filippo; Serrin, James; Tang, Moxun 37 2000 Type-II blowup for a semilinear heat equation. Zbl 1122.35050Mizoguchi, Noriko 36 2004 Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042Andreucci, Daniele; Tedeev, Anatoli F. 36 2005 An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055Colin, Thierry; Ghidaglia, Jean-Michel 36 2001 On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020Villani, Cédric 35 1996 Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099Jin, Qinian; Li, YanYan; Xu, Haoyuan 34 2008 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031Demengel, Françoise; Hebey, Emmanuel 34 1998 Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225Candy, Timothy 34 2011 Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 34 2004 Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388Lieberman, Gary M. 34 2005 \(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A. 34 2005 Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034Nakashima, Kimie; Yamada, Yoshio 33 1996 Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151Chipot, Michel; Savitska, Tetiana 32 2014 Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F. 32 2002 Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320Messaoudi, Salim A.; Said-Houari, Belkacem 32 2009 On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525Moise, I.; Rosa, R. 31 1997 Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016Bereanu, C.; Mawhin, J. 31 2006 Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058Dore, Giovanni 31 2000 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 30 1996 Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512Bebernes, J. W.; Lacey, A. A. 30 1997 Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008Hieber, Matthias; Prüss, Jan 30 1998 Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. 30 2006 Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069Kawohl, Bernd; Lucia, Marcello; Prashanth, S. 30 2007 A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019Garcke, Harald; Novick-Cohen, Amy 30 2000 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047Bjorland, Clayton; Schonbek, Maria E. 30 2009 On coupled systems of Schrödinger equations. Zbl 1232.35063Chen, Z.; Zou, W. 29 2011 A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087Fife, Paul C.; Wang, Xuefeng 28 1998 \(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200van Gennip, Yves; Bertozzi, Andrea L. 28 2012 On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262Ciomaga, Adina 28 2012 On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283Fiscella, Alessio; Pucci, Patrizia 28 2016 Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates. Zbl 0951.35045Garofalo, Nicola; Sartori, Elena 27 1999 Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102Du, Yihong; Guo, Zongming 27 2013 Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\). Zbl 0947.35154Goubet, Olivier 27 1998 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 27 2014 An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253Saut, Jean-Claude; Temam, Roger 27 2010 Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388Du, Yihong; Li, Shujie 27 2005 Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059Amann, Herbert 27 2005 Monotonicity and symmetry results for \(p\)-Laplace equations and applications. Zbl 1002.35045Damascelli, Lucio; Pacella, Filomena 27 2000 Topological degree theories for densely defined mappings involving operators of type \((S_+)\). Zbl 0959.47037Kartsatos, A. G.; Skrypnik, I. V. 26 1999 The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051Rey, Olivier 26 1999 Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang 26 1999 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 26 2014 Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space. Zbl 1284.35226Lemarié-Rieusset, Pierre Gilles 26 2013 Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent. Zbl 1322.49021Molica Bisci, Giovanni; Servadei, Raffaella 26 2015 Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068Sugiyama, Yoshie 26 2007 Double phase obstacle problems with variable exponent. Zbl 1497.35146Zeng, Shengda; Rădulescu, Vicențiu D.; Winkert, Patrick 2 2022 Quasilinear double phase problems in the whole space via perturbation methods. Zbl 1486.35205Ge, Bin; Pucci, Patrizia 2 2022 On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary. Zbl 1493.53090Ginoux, Nicolas; Murro, Simone 2 2022 Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks. Zbl 1496.35288Bravin, Marco; Sueur, Franck 1 2022 Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. Zbl 1484.35386Lewicka, Marta 1 2022 Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 07488528Hebey, Emmanuel 1 2022 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056Jiang, Huite; Zhao, Caidi 6 2021 Strong attractors and their continuity for the semilinear wave equations with fractional damping. Zbl 1480.35043Li, Yanan; Yang, Zhijian 4 2021 The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries. Zbl 1480.35410Cao, Jia-Feng; Li, Wan-Tong; Wang, Jie; Zhao, Meng 4 2021 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246Wang, Xiaoming; Wu, Hao 3 2021 On an anisotropic \(p\)-Laplace equation with variable singular exponent. Zbl 1485.35244Bal, Kaushik; Garain, Prashanta; Mukherjee, Tuhina 3 2021 The Paneitz curvature problem on \(S^n\). Zbl 1485.35168Alghanemi, Azeb; Bensouf, Aymen; Chtioui, Hichem 2 2021 An apparently unnatural estimate about forward-backward parabolic equations. Zbl 1480.35073Paronetto, Fabio 1 2021 Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions. Zbl 1479.35694Ragusa, Maria Alessandra; Wu, Fan 1 2021 Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Zbl 1485.35404Restrepo, Joel E.; Suragan, Durvudkhan 1 2021 Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. Zbl 1480.35400Xiang, Mingqi; Zhang, Binlin 1 2021 Multiplicity and concentration results for local and fractional NLS equations with critical growth. Zbl 1487.35034Gallo, Marco 1 2021 Blow-up rate of sign-changing solutions to nonlinear parabolic systems. Zbl 1484.35090Zhanpeisov, Erbol 1 2021 On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. Zbl 1448.35334Hu, Yanbo; Li, Jiequan 9 2020 On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281Zhao, Xiaopeng 2 2020 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061Hayashi, Nakao; Naumkin, Pavel I. 2 2020 Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306Li, Xinfu; Ma, Shiwang; Zhang, Guang 2 2020 Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044Yang, Rui; Lee, Yong-Hoon 2 2020 Stability of polytropic filtration equation with variable exponents. Zbl 1447.35308Feng, Zhaosheng; Zhan, Huashui 1 2020 Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms. Zbl 1458.34071Bai, Yuzhen; Xia, Yonghui; Zhu, Wenjing 1 2020 Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity. Zbl 1448.35127Liang, Sihua; Chung, Nguyen Thanh; Zhang, Binlin 1 2020 Navier-Stokes equations in a curved thin domain. III: Thin-film limit. Zbl 1468.35112Miura, Tatsu-Hiko 1 2020 Spectral identities and smoothing estimates for evolution operators. Zbl 1465.35074Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru 1 2020 On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. Zbl 1466.35129Chen, Sitong; Tang, Xianhua 1 2020 On ground state of fractional spinor Bose Einstein condensates. Zbl 1437.35172Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua 1 2020 Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406Ge, Bin; Wang, Li-Yan 1 2020 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500Bhakta, Mousomi; Mukherjee, Debangana 26 2019 A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188Ikoma, Norihisa; Tanaka, Kazunaga 22 2019 Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573Fukumoto, Yasuhide; Zhao, Xiaopeng 6 2019 Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239Liu, Yingying; Zhang, Zhengce; Zhu, Liping 6 2019 A time-fractional mean field game. Zbl 1442.35502Camilli, Fabio; De Maio, Raul 6 2019 On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 5 2019 Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. Zbl 1442.53004Nagasawa, Takeyuki; Nakamura, Kohei 3 2019 Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537Higaki, Mitsuo 3 2019 No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104Esteve, Carlos; Souplet, Philippe 2 2019 Local well-posedness for third order Benjamin-Ono type equations on the torus. Zbl 1437.35611Tanaka, Tomoyuki 2 2019 Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620Correia, Simão; Figueira, Mário 1 2019 Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points. Zbl 1445.35112Lastra, Alberto; Malek, Stéphane 1 2019 Low regularity local well-posedness for the higher-dimensional Yang-Mills equation in Lorenz gauge. Zbl 1437.35598Pecher, Hartmut 1 2019 \(L^2\) representations of the second variation and Łojasiewicz-Simon gradient estimates for a decomposition of the Möbius energy. Zbl 1442.53003Gunji, Katsunori 1 2019 Hénon type equations with jumping nonlinearities involving critical growth. Zbl 1437.35230Barboza, Eudes Mendes; Ribeiro, Bruno; Do Ó, João Marcos 1 2019 Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph. Zbl 1402.35261Pava, Jaime Angulo; Goloshchapova, Nataliia 24 2018 Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087Deng, Yinbin; Shuai, Wei 16 2018 Mountain pass solutions for the fractional Berestycki-Lions problem. Zbl 1388.35206Ambrosio, Vincenzo 15 2018 Regularity and time behavior of the solutions of linear and quasilinear parabolic equations. Zbl 1390.35115Porzio, Maria Michaela 10 2018 Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072Mastrolia, P.; Monticelli, D. D.; Punzo, F. 7 2018 Global regularity of the 2D magnetic Bénard system with partial dissipation. Zbl 1420.35267Ye, Zhuan 6 2018 Traveling waves in a simplified gas-solid combustion model in porous media. Zbl 1386.35351Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori 5 2018 Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity. Zbl 1391.35249Majdoub, Mohamed; Otsmane, Sarah; Tayachi, Slim 5 2018 Global existence for the heat flow of symphonic maps into spheres. Zbl 1406.58011Misawa, Masashi; Nakauchi, Nobumitsu 5 2018 Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity. Zbl 1386.35266Sasaki, Takiko 4 2018 Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397Miyagaki, Olímpio H.; Pereira, Fábio 4 2018 Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity. Zbl 1391.35262Sobajima, Motohiro; Wakasugi, Yuta 4 2018 On the focusing energy-critical fractional nonlinear Schrödinger equations. Zbl 1383.35206Cho, Yonggeun; Hwang, Gyeongha; Ozawa, Tohru 4 2018 A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes 4 2018 Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in \(\mathbb{R}^N\). Zbl 1392.35291Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao 2 2018 Transport and equilibrium in non-conservative systems. Zbl 1433.35402Chayes, L.; Lei, H. K. 2 2018 Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028Mukherjee, Mayukh 2 2018 Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491Hayashi, Nakao; Naumkin, Pavel I. 2 2018 Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394Okamoto, Mamoru 2 2018 Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba 1 2018 The Friedrichs extension for elliptic wedge operators of second order. Zbl 1380.58021Krainer, Thomas; Mendoza, Gerardo A. 1 2018 On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential. Zbl 1404.35408Cho, Yonggeun; Hwang, Gyeongha; Yang, Changhun 1 2018 Local Hardy and Rellich inequalities for sums of squares of vector fields. Zbl 1373.35016Ruzhansky, Michael; Suragan, Durvudkhan 23 2017 Removable singularities for degenerate elliptic Pucci operators. Zbl 1366.35048Galise, Giulio; Vitolo, Antonio 20 2017 On the local pressure of the Navier-Stokes equations and related systems. Zbl 1457.76056Wolf, Jörg 13 2017 Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. Zbl 1379.35122Naimen, D.; Tarsi, C. 12 2017 On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure. Zbl 1357.74017Boulakia, M.; Guerrero, S. 10 2017 Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system. Zbl 1377.35264He, Qihan; Peng, Shuangjie; Peng, Yanfang 7 2017 Evolution families and maximal regularity for systems of parabolic equations. Zbl 1377.35130Gallarati, Chiara; Veraar, Mark 6 2017 Local stabilization of compressible Navier-Stokes equations in one dimension around non-zero velocity. Zbl 1371.93099Mitra, Debanjana; Ramaswamy, Mythily; Raymond, Jean-Pierre 6 2017 Inhomogeneous Besov spaces associated to operators with off-diagonal semigroup estimates. Zbl 1373.46023Bui, The Anh; Duong, Xuan Thinh 5 2017 The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289Koch, Herbert; Rüland, Angkana; Shi, Wenhui 5 2017 Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169Schnaubelt, Roland 4 2017 Insensitizing controls for the Boussinesq system with no control on the temperature equation. Zbl 1361.93008Carreño, N. 3 2017 Positive solutions of Schrödinger equations and Martin boundaries for skew product elliptic operators. Zbl 1376.35015Murata, Minoru; Tsuchida, Tetsuo 3 2017 Existence of solutions to a class of weakly coercive diffusion equations with singular initial data. Zbl 1377.35167Papi, Marco; Porzio, Maria Michaela; Smarrazzo, Flavia 3 2017 Threshold and strong threshold solutions of a semilinear parabolic equation. Zbl 1430.35148Quittner, Pavol 3 2017 The Cauchy problem on large time for a Boussinesq-Peregrine equation with large topography variations. Zbl 1372.35231Mesognon-Gireau, Benoit 3 2017 A monotonicity formula and Liouville-type theorems for stable solutions of the weighted elliptic system. Zbl 1364.35094Hu, Liang-Gen 2 2017 Mixed boundary value problems on cylindrical domains. Zbl 1364.35090Auscher, Pascal; Egert, Moritz 2 2017 The Cauchy problem for the shallow water type equations in low regularity spaces on the circle. Zbl 1365.35016Li, Yongsheng; Yan, Wei; Zhai, Xiaoping; Zhang, Yimin 2 2017 A well posedness result for generalized solutions of Hamilton-Jacobi equations. Zbl 1387.35103Zagatti, Sandro 2 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 06780898Shimizu, Senjo; Yagi, Shintaro 2 2017 Convergence of the Allen-Cahn equation with constraint to Brakke’s mean curvature flow. Zbl 1479.35531Takasao, Keisuke 2 2017 Conley index in Hilbert spaces versus the generalized topological degree. Zbl 1386.34068Błaszczyk, Zbigniew; Gołębiewska, Anna; Rybicki, Sławomir 2 2017 Constant sign Green’s function for simply supported beam equation. Zbl 1367.34026Cabada, Alberto; Saavedra, Lorena 1 2017 Analyticity of semigroups generated by higher order elliptic operators in spaces of bounded functions on \(C^{1}\) domains. Zbl 1380.35079Suzuki, Takuya 1 2017 A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry 50 2016 On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283Fiscella, Alessio; Pucci, Patrizia 28 2016 An epiperimetric inequality for the thin obstacle problem. Zbl 1336.35370Focardi, Matteo; Spadaro, Emanuele 22 2016 Dissipative structures for thermoelastic plate equations in \(\mathbb R^n\). Zbl 1375.35035Racke, Reinhard; Ueda, Yoshihiro 20 2016 Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174Abels, Helmut; Dolzmann, Georg; Liu, Yuning 18 2016 Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 13 2016 A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264Giga, Yoshikazu; Požár, Norbert 12 2016 ...and 763 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,794 Authors 67 Wei, Juncheng 45 Tang, Xianhua 44 Zou, Wenming 41 Kang, Dongsheng 35 Li, Wan-Tong 34 Peng, Shuangjie 34 Pistoia, Angela 33 Pucci, Patrizia 33 Rossi, Julio Daniel 31 Alves, Claudianor Oliveira 31 Volpert, Vitaly A. 30 Figueiredo, Giovany Malcher 29 Lasiecka, Irena 29 Miyagaki, Olimpio Hiroshi 28 Ding, Yanheng 26 Yan, Shusen 26 Zuazua, Enrique 25 Ambrosio, Vincenzo 25 Guo, Yuxia 25 Ishige, Kazuhiro 24 Galaktionov, Victor Aleksandrovich 24 Wu, Jiahong 23 Ferreira, Lucas Catão de Freitas 23 Guo, Zongming 23 Kukavica, Igor 23 Suragan, Durvudkhan 23 Vougalter, Vitali 23 Zhang, Jian 22 Colli, Pierluigi 22 Gazzola, Filippo 22 Magal, Pierre 22 Souplet, Philippe 22 Takahashi, Takéo 22 Tang, Chun-Lei 21 Chen, Xinfu 21 Do Ó, João M. Bezerra 21 Giacomoni, Jacques 21 Sreenadh, Konijeti 20 Giga, Yoshikazu 20 Miranville, Alain M. 20 Polidoro, Sergio 20 Ruzhansky, Michael V. 20 Wang, Zhi-Qiang 19 Díaz Díaz, Jesús Ildefonso 19 Lar’kin, Nikolaj Andreevich 19 Warma, Mahamadi 18 Beirão da Veiga, Hugo 18 Del Pino, Manuel A. 18 Esfahani, Amin 18 Garcke, Harald 18 Li, Yongsheng 18 Liu, Xiangqing 18 Liu, Zhihua 18 Lorenzi, Luca 18 Malchiodi, Andrea 18 Marcellini, Paolo 18 Peral Alonso, Ireneo 18 Quaas, Alexander 18 Rakotoson, Jean-Michel 18 Vitolo, Antonio 18 Wang, Jun 18 Zhao, Xiaopeng 17 Angulo Pava, Jaime 17 Bartsch, Thomas J. 17 Cingolani, Silvia 17 Cui, Shangbin 17 D’Aprile, Teresa 17 Fernández-Cara, Enrique 17 García-Huidobro, Marta 17 Gilardi, Gianni 17 Goldstein, Jerome Arthur 17 Laurençot, Philippe 17 Messaoudi, Salim A. 17 Prüß, Jan Wilhelm 17 Rădulescu, Vicenţiu D. 17 Saut, Jean-Claude 17 Zhang, Fubao 16 Antontsev, Stanislav Nikolaevich 16 Ben Ayed, Mohamed 16 Duong, Xuan Thinh 16 Felmer, Patricio L. 16 Lanconelli, Ermanno 16 López-Gómez, Julián 16 Maniar, Lahcen 16 Ogawa, Takayoshi 16 Pomponio, Alessio 16 Porzio, Maria Michaela 16 Ruan, Shigui 16 Umezu, Kenichiro 16 Valdinoci, Enrico 15 Biler, Piotr 15 Cao, Daomin 15 Caraballo Garrido, Tomás 15 Clapp, Mónica 15 Coclite, Giuseppe Maria 15 Du, Yihong 15 Nečasová, Šárka 15 Pastor, Ademir 15 Poláčik, Peter 15 Ramos Quoirin, Humberto ...and 7,694 more Authors all top 5 Cited in 524 Journals 903 Journal of Differential Equations 673 Journal of Mathematical Analysis and Applications 654 Nonlinear Analysis. 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Serie V 17 Analysis and Mathematical Physics 17 Electronic Research Archive 16 Indiana University Mathematics Journal ...and 424 more Journals all top 5 Cited in 54 Fields 8,101 Partial differential equations (35-XX) 1,455 Fluid mechanics (76-XX) 789 Operator theory (47-XX) 619 Ordinary differential equations (34-XX) 495 Calculus of variations and optimal control; optimization (49-XX) 471 Biology and other natural sciences (92-XX) 437 Global analysis, analysis on manifolds (58-XX) 431 Systems theory; control (93-XX) 421 Dynamical systems and ergodic theory (37-XX) 411 Numerical analysis (65-XX) 392 Mechanics of deformable solids (74-XX) 274 Differential geometry (53-XX) 249 Functional analysis (46-XX) 198 Probability theory and stochastic processes (60-XX) 193 Integral equations (45-XX) 179 Harmonic analysis on Euclidean spaces (42-XX) 173 Statistical mechanics, structure of matter (82-XX) 141 Real functions (26-XX) 138 Classical thermodynamics, heat transfer (80-XX) 128 Quantum theory (81-XX) 107 Optics, electromagnetic theory (78-XX) 80 Geophysics (86-XX) 77 Potential theory (31-XX) 73 Relativity and gravitational theory (83-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Mechanics of particles and systems (70-XX) 45 Measure and integration (28-XX) 37 Approximations and expansions (41-XX) 33 Functions of a complex variable (30-XX) 33 Abstract harmonic analysis (43-XX) 30 Difference and functional equations (39-XX) 25 Computer science (68-XX) 22 Operations research, mathematical programming (90-XX) 19 Topological groups, Lie groups (22-XX) 19 Special functions (33-XX) 19 Statistics (62-XX) 19 Information and communication theory, circuits (94-XX) 14 Combinatorics (05-XX) 14 Several complex variables and analytic spaces (32-XX) 12 History and biography (01-XX) 12 Integral transforms, operational calculus (44-XX) 11 Convex and discrete geometry (52-XX) 11 General topology (54-XX) 11 Astronomy and astrophysics (85-XX) 8 Algebraic topology (55-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 Sequences, series, summability (40-XX) Citations by Year