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: 1,027 Publications (since 1996) References Indexed: 83 Publications with 3,043 References. all top 5 Latest Issues 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) 12, No. 11 (2007) 12, No. 10 (2007) 12, No. 9 (2007) ...and 100 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 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 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 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 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 1,310 more Authors all top 5 Fields 933 Partial differential equations (35-XX) 139 Fluid mechanics (76-XX) 122 Operator theory (47-XX) 104 Ordinary differential equations (34-XX) 70 Global analysis, analysis on manifolds (58-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 53 Mechanics of deformable solids (74-XX) 52 Dynamical systems and ergodic theory (37-XX) 37 Differential geometry (53-XX) 32 Functional analysis (46-XX) 30 Integral equations (45-XX) 28 Biology and other natural sciences (92-XX) 27 Systems theory; control (93-XX) 20 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) 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 883 Publications have been cited 11,497 times in 9,926 Documents Cited by ▼ Year ▼ Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513Chen, Xinfu 283 1997 On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Zbl 0847.35045Terracini, Susanna 220 1996 Generalized linking theorem with an application to a semilinear Schrödinger equation. Zbl 0947.35061Kryszewski, Wojciech; Szulkin, Andrzej 220 1998 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034Fernández-Cara, Enrique; Zuazua, Enrique 153 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. 147 2001 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 124 1996 Derivation and physical interpretation of general boundary conditions. Zbl 1107.35010Goldstein, Gisèle Ruiz 107 2006 On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Zbl 1217.35065Kang, Xiaosong; Wei, Juncheng 102 2000 On a singularly perturbed elliptic equation. Zbl 1023.35500Li, YanYan 98 1997 Concentration estimates and multiple solutions to elliptic problems at critical growth. Zbl 1208.35048Devillanova, Giuseppe; Solimini, Sergio 94 2002 On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Zbl 1154.35073Hmidi, Taoufik; Keraani, Sahbi 93 2007 Classical solutions for Hele-Shaw models with surface tension. Zbl 1023.35527Escher, Joachim; Simonett, Gieri 91 1997 Null controllability of degenerate heat equations. Zbl 1145.35408Cannarsa, P.; Martinez, P.; Vancostenoble, J. 87 2005 Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain. Zbl 1101.35356Takahashi, Takéo 79 2003 On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042Magal, Pierre; Ruan, Shigui 73 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. 72 2001 Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085Danchin, R. 69 2004 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034Bandle, Catherine; Giarrusso, Ester 68 1996 Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524Gerbeau, J.-F.; Le Bris, C. 68 1997 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043Antontsev, Stanislav; Zhikov, Vasilii 67 2005 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036Bernis, F.; Garcia-Azorero, J.; Peral, I. 66 1996 Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki 65 2004 Strong pathwise solutions of the stochastic Navier-Stokes system. Zbl 1195.60090Glatt-Holtz, Nathan; Ziane, Mohammed 64 2009 Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Zbl 0951.35125Takaoka, Hideo 62 1999 Morse theory and a scalar field equation on compact surfaces. Zbl 1175.53052Malchiodi, Andrea 61 2008 On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\). Zbl 1213.35223Sirakov, Boyan 60 2000 Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions. Zbl 1103.35084Beirão da Veiga, H. 59 2004 \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations. Zbl 1023.35509Świech, Andrzej 58 1997 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051Agueh, Martial 58 2005 Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Zbl 0864.35083Temam, R.; Ziane, M. 57 1996 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1285.35093Himonas, A. Alexandrou; Holliman, Curtis 56 2014 Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form. Zbl 1153.35312Di Francesco, Marco; Polidoro, Sergio 56 2006 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 56 2000 The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050Racke, Reinhard; Zheng, Songmu 55 2003 Stability of cnoidal waves. Zbl 1147.35079Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 55 2006 A new optimal transport distance on the space of finite Radon measures. Zbl 1375.49062Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry 54 2016 An existence and stability result for standing waves of nonlinear Schrödinger equations. Zbl 1155.35095Jeanjean, Louis; Le Coz, Stefan 54 2006 Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005Senba, Takasi; Suzuki, Takashi 53 2001 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 52 1997 A new dynamical approach of Emden-Fowler equations and systems. Zbl 1230.34021Bidaut-Veron, Marie Françoise; Giacomini, Hector 50 2010 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 49 2003 Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050Alazard, Thomas 49 2005 First eigenvalue and maximum principle for fully nonlinear singular operators. Zbl 1132.35427Birindelli, Isabeau; Demengel, Françoise 46 2006 The Dirichlet problem for a class of ultraparabolic equations. Zbl 1023.35518Manfredini, Maria 46 1997 The thin viscous flow equation in higher space dimensions. Zbl 0954.35035Bertsch, Michiel; Dal Passo, Roberta; Garcke, Harald; Grün, Günther 44 1998 On mild and weak solutions of elliptic-parabolic problems. Zbl 0858.35064Benilan, Philippe; Wittbold, Petra 43 1996 On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042Chipot, M.; Shafrir, I.; Fila, M. 43 1996 Boundary layer for a penalization method for viscous incompressible flow. Zbl 1097.76013Carbou, Gilles; Fabrie, Pierre 43 2003 Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151Clapp, Mónica; Weth, Tobias 42 2005 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 On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity. Zbl 0845.35031Cortázar, Carmen; Elgueta, Manuel; Felmer, Patricio 40 1996 The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio 40 1996 Higher-order Melnikov functions for degenerate cubic Hamiltonians. Zbl 0851.34042Iliev, I. D. 38 1996 Semilinear elliptic equations with sublinear indefinite nonlinearities. Zbl 0952.35052Alama, Stanley 38 1999 Type-II blowup for a semilinear heat equation. Zbl 1122.35050Mizoguchi, Noriko 37 2004 Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension. Zbl 1229.35225Candy, Timothy 37 2011 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064Gazzola, Filippo; Serrin, James; Tang, Moxun 37 2000 An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055Colin, Thierry; Ghidaglia, Jean-Michel 37 2001 Universal bounds at the blow-up time for nonlinear parabolic equations. Zbl 1122.35042Andreucci, Daniele; Tedeev, Anatoli F. 36 2005 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031Demengel, Françoise; Hebey, Emmanuel 36 1998 Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099Jin, Qinian; Li, YanYan; Xu, Haoyuan 36 2008 Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient. Zbl 1307.35151Chipot, Michel; Savitska, Tetiana 35 2014 On the Cauchy problem for Landau equations: Sequential stability, global existence. Zbl 0856.35020Villani, Cédric 35 1996 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. 35 2004 \(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A. 35 2005 Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem. Zbl 0993.34058Dore, Giovanni 35 2000 Positive steady states for prey-predator models with cross-diffusion. Zbl 0863.35034Nakashima, Kimie; Yamada, Yoshio 34 1996 Gradient estimates for anisotropic elliptic equations. Zbl 1144.35388Lieberman, Gary M. 34 2005 Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Zbl 1168.35320Messaoudi, Salim A.; Said-Houari, Belkacem 34 2009 Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups. Zbl 1036.35061Bonfiglioli, A.; Lanconelli, E.; Uguzzoni, F. 34 2002 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500Bhakta, Mousomi; Mukherjee, Debangana 33 2019 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 32 1996 Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity. Zbl 1111.34016Bereanu, C.; Mawhin, J. 31 2006 On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525Moise, I.; Rosa, R. 31 1997 Global existence and finite-time blow-up for a class of nonlocal parabolic problems. Zbl 1023.35512Bebernes, J. W.; Lacey, A. A. 31 1997 \(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200van Gennip, Yves; Bertozzi, Andrea L. 31 2012 Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069Kawohl, Bernd; Lucia, Marcello; Prashanth, S. 31 2007 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 30 2013 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 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 30 2014 On coupled systems of Schrödinger equations. Zbl 1232.35063Chen, Z.; Zou, W. 30 2011 On the strong maximum principle for second order nonlinear parabolic integro-differential equations. Zbl 1264.35262Ciomaga, Adina 30 2012 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047Bjorland, Clayton; Schonbek, Maria E. 30 2009 A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019Garcke, Harald; Novick-Cohen, Amy 30 2000 On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. Zbl 1357.35283Fiscella, Alessio; Pucci, Patrizia 29 2016 A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188Ikoma, Norihisa; Tanaka, Kazunaga 29 2019 Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models. Zbl 1171.35068Sugiyama, Yoshie 29 2007 A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087Fife, Paul C.; Wang, Xuefeng 29 1998 Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008Hieber, Matthias; Prüss, Jan 29 1998 The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072Abels, Helmut 28 2005 Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates. Zbl 0951.35045Garofalo, Nicola; Sartori, Elena 28 1999 The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051Rey, Olivier 28 1999 Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Zbl 1183.35035Gerbi, Stéphane; Said-Houari, Belkacem 28 2008 Mean field equation for the equilibrium turbulence and a related functional inequality. Zbl 1109.26014Ohtsuka, Hiroshi; Suzuki, Takashi 27 2006 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 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 \(\mathbb{H}^1\)-random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains. Zbl 1519.35034Kinra, Kush; Mohan, Manil T. 3 2023 Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator. Zbl 1501.35065Klimsiak, Tomasz 1 2023 A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. Zbl 1500.49010Brizzi, Camilla; De Pascale, Luigi 1 2023 Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping. Zbl 1518.35135Tavares, E. H. Gomes; Silva, M. A. Jorge; Narciso, V.; Vicente, A. 1 2023 Double phase obstacle problems with variable exponent. Zbl 1497.35146Zeng, Shengda; Rădulescu, Vicențiu D.; Winkert, Patrick 5 2022 On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary. Zbl 1493.53090Ginoux, Nicolas; Murro, Simone 4 2022 Quasilinear double phase problems in the whole space via perturbation methods. Zbl 1486.35205Ge, Bin; Pucci, Patrizia 3 2022 Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds. Zbl 1498.35128Jleli, Mohamed; Ragusa, Maria Alessandra; Samet, Bessem 2 2022 Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 1512.35535Hebey, Emmanuel 1 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 Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces. Zbl 1496.35160de Borbón, María Laura; Del Pezzo, Leandro M.; Ochoa, Pablo 1 2022 Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds. Zbl 1496.35375Colinet, Andrew 1 2022 Entire solutions of combustion reaction-diffusion equations in exterior domains. Zbl 1487.35027Jia, Fu-Jie; Wang, Zhi-Cheng; Zhang, Suo-Bing 1 2022 Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. Zbl 1484.35386Lewicka, Marta 1 2022 Critical problems with Hardy potential on stratified Lie groups. Zbl 1498.35558Loiudice, Annunziata 1 2022 Qualitative properties of singular solutions of Choquard equations. Zbl 1500.35152Chen, Huyuan; Zhou, Feng 1 2022 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056Jiang, Huite; Zhao, Caidi 9 2021 Strong attractors and their continuity for the semilinear wave equations with fractional damping. Zbl 1480.35043Li, Yanan; Yang, Zhijian 6 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 On an anisotropic \(p\)-Laplace equation with variable singular exponent. Zbl 1485.35244Bal, Kaushik; Garain, Prashanta; Mukherjee, Tuhina 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 Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions. Zbl 1479.35694Ragusa, Maria Alessandra; Wu, Fan 2 2021 Multiplicity and concentration results for local and fractional NLS equations with critical growth. Zbl 1487.35034Gallo, Marco 2 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 Existence of two positive solutions for anisotropic nonlinear elliptic equations. Zbl 1480.35267Bonanno, G.; D’Aguì, G.; Sciammetta, A. 1 2021 On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions. Zbl 1480.35268Cao, Xiao-Feng; Ge, Bin; Zhang, Bei-Lei 1 2021 Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Zbl 1485.35404Restrepo, Joel E.; Suragan, Durvudkhan 1 2021 Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities. Zbl 1480.35269Chu, Chang-Mu 1 2021 Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. Zbl 1480.35400Xiang, Mingqi; Zhang, Binlin 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 12 2020 Solutions to upper critical fractional Choquard equations with potential. Zbl 1437.35306Li, Xinfu; Ma, Shiwang; Zhang, Guang 4 2020 Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Zbl 1442.34044Yang, Rui; Lee, Yong-Hoon 4 2020 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061Hayashi, Nakao; Naumkin, Pavel I. 3 2020 Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity. Zbl 1448.35127Liang, Sihua; Chung, Nguyen Thanh; Zhang, Binlin 3 2020 Infinitely many solutions for a class of superlinear problems involving variable exponents. Zbl 1437.35406Ge, Bin; Wang, Li-Yan 2 2020 Navier-Stokes equations in a curved thin domain. III: Thin-film limit. Zbl 1468.35112Miura, Tatsu-Hiko 2 2020 On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations. Zbl 1447.35281Zhao, Xiaopeng 2 2020 On ground state of fractional spinor Bose Einstein condensates. Zbl 1437.35172Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua 1 2020 Spectral identities and smoothing estimates for evolution operators. Zbl 1465.35074Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru 1 2020 Primitive equations with half horizontal viscosity. Zbl 1470.35290Saal, Martin 1 2020 On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. Zbl 1466.35129Chen, Sitong; Tang, Xianhua 1 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 Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities. Zbl 1442.35500Bhakta, Mousomi; Mukherjee, Debangana 33 2019 A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188Ikoma, Norihisa; Tanaka, Kazunaga 29 2019 A time-fractional mean field game. Zbl 1442.35502Camilli, Fabio; De Maio, Raul 10 2019 Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system. Zbl 1437.35573Fukumoto, Yasuhide; Zhao, Xiaopeng 8 2019 Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption. Zbl 1442.35239Liu, Yingying; Zhang, Zhengce; Zhu, Liping 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 4 2019 Note on the stability of planar stationary flows in an exterior domain without symmetry. Zbl 1437.35537Higaki, Mitsuo 4 2019 Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability. Zbl 1437.35620Correia, Simão; Figueira, Mário 2 2019 Non-uniform dependence on initial data for equations of Whitham type. Zbl 1437.35605Arnesen, Mathias Nikolai 2 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 Hénon type equations with jumping nonlinearities involving critical growth. Zbl 1437.35230Barboza, 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 1445.35112Lastra, 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 Dispersive mixed-order systems in \(L^p\)-Sobolev spaces and application to the thermoelastic plate equation. Zbl 1437.35168Denk, Robert; Hummel, Felix 1 2019 Global \(L^r\)-estimates and regularizing effect for solutions to the \(p(t,x)\)-Laplacian systems. Zbl 1442.35225Crispo, F.; Maremonti, P.; Růžička, M. 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 25 2018 Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain. Zbl 1386.35087Deng, Yinbin; Shuai, Wei 17 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 11 2018 Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds. Zbl 1386.35072Mastrolia, P.; Monticelli, D. 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Zbl 1386.35266Sasaki, Takiko 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 Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum. Zbl 1391.35397Miyagaki, Olímpio H.; Pereira, Fábio 4 2018 Transport and equilibrium in non-conservative systems. Zbl 1433.35402Chayes, L.; Lei, H. K. 3 2018 Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491Hayashi, Nakao; Naumkin, Pavel I. 3 2018 Nonlinear travelling waves on complete Riemannian manifolds. Zbl 1384.35028Mukherjee, Mayukh 2 2018 Long-time behavior of solutions to the fifth-order modified KdV-type equation. Zbl 1404.35394Okamoto, Mamoru 2 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 Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies. Zbl 1386.74024Court, Sébastien; Kunisch, Karl 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 Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. Zbl 1394.35180Costea, Nicuşor; Moroşanu, Gheorghe; Varga, Csaba 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 15 2017 Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. Zbl 1379.35122Naimen, D.; Tarsi, C. 13 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 7 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 The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289Koch, Herbert; Rüland, Angkana; Shi, Wenhui 5 2017 Inhomogeneous Besov spaces associated to operators with off-diagonal semigroup estimates. Zbl 1373.46023Bui, The Anh; Duong, Xuan Thinh 5 2017 Positive solutions of Schrödinger equations and Martin boundaries for skew product elliptic operators. Zbl 1376.35015Murata, Minoru; Tsuchida, Tetsuo 4 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 4 2017 The Cauchy problem on large time for a Boussinesq-Peregrine equation with large topography variations. Zbl 1372.35231Mesognon-Gireau, Benoit 4 2017 Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169Schnaubelt, Roland 4 2017 ...and 783 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,168 Authors 69 Wei, Juncheng 49 Zou, Wenming 46 Tang, Xianhua 42 Kang, Dongsheng 35 Li, Wan-Tong 35 Pistoia, Angela 34 Alves, Claudianor Oliveira 34 Peng, Shuangjie 33 Figueiredo, Giovany Malcher 33 Pucci, Patrizia 33 Rossi, Julio Daniel 31 Volpert, Vitaly A. 30 Miyagaki, Olimpio Hiroshi 30 Wang, Zhi-Qiang 29 Ding, Yanheng 29 Lasiecka, Irena 28 Zuazua, Enrique 27 Ambrosio, Vincenzo 27 Ishige, Kazuhiro 26 Guo, Yuxia 26 Wu, Jiahong 26 Yan, Shusen 25 Kukavica, Igor 25 Vougalter, Vitali 24 Galaktionov, Victor Aleksandrovich 24 Guo, Zongming 23 Do Ó, João M. 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RACSAM 19 Analysis and Mathematical Physics 18 Rocky Mountain Journal of Mathematics 18 Advances in Differential Equations 18 Fractional Calculus & Applied Analysis 18 Milan Journal of Mathematics ...and 440 more Journals all top 5 Cited in 54 Fields 8,565 Partial differential equations (35-XX) 1,541 Fluid mechanics (76-XX) 832 Operator theory (47-XX) 640 Ordinary differential equations (34-XX) 523 Calculus of variations and optimal control; optimization (49-XX) 503 Biology and other natural sciences (92-XX) 458 Systems theory; control (93-XX) 453 Dynamical systems and ergodic theory (37-XX) 453 Global analysis, analysis on manifolds (58-XX) 436 Numerical analysis (65-XX) 421 Mechanics of deformable solids (74-XX) 284 Differential geometry (53-XX) 268 Functional analysis (46-XX) 222 Probability theory and stochastic processes (60-XX) 202 Integral equations (45-XX) 191 Harmonic analysis on Euclidean spaces (42-XX) 179 Statistical mechanics, structure of matter (82-XX) 154 Real functions (26-XX) 145 Classical thermodynamics, heat transfer (80-XX) 135 Quantum theory (81-XX) 111 Optics, electromagnetic theory (78-XX) 87 Geophysics (86-XX) 80 Potential theory (31-XX) 73 Relativity and gravitational theory (83-XX) 54 Mechanics of particles and systems (70-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Measure and integration (28-XX) 39 Approximations and expansions (41-XX) 34 Abstract harmonic analysis (43-XX) 33 Functions of a complex variable (30-XX) 33 Difference and functional equations (39-XX) 26 Computer science (68-XX) 24 Operations research, mathematical programming (90-XX) 23 Statistics (62-XX) 22 Information and communication theory, circuits (94-XX) 20 Special functions (33-XX) 19 Topological groups, Lie groups (22-XX) 17 Combinatorics (05-XX) 14 Several complex variables and analytic spaces (32-XX) 13 History and biography (01-XX) 13 Integral transforms, operational calculus (44-XX) 12 Convex and discrete geometry (52-XX) 11 General topology (54-XX) 11 Astronomy and astrophysics (85-XX) 8 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 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