Edit Profile (opens in new tab) Quittner, Pavol Co-Author Distance Author ID: quittner.pavol Published as: Quittner, Pavol; Quittner, P. Documents Indexed: 85 Publications since 1982, including 2 Books and 2 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 168 Reviews Co-Authors: 19 Co-Authors with 48 Joint Publications 602 Co-Co-Authors all top 5 Co-Authors 40 single-authored 16 Souplet, Philippe 8 Fila, Marek 8 Poláčik, Peter 5 Amann, Herbert 5 Chipot, Michel 2 Bartsch, Thomas J. 2 Rodríguez-Bernal, Aníbal 1 Ackermann, Nils 1 Arrieta, José M. 1 Chlebík, Miroslav 1 Hulshof, Josephus 1 Kaplický, Petr 1 Kelemen, Sándor 1 Kosírová, Ivana 1 López-Gómez, Julián 1 Reichel, Wolfgang 1 Simondon, Frédérique 1 Winkler, Michael 1 Žubrinić, Darko all top 5 Serials 7 Commentationes Mathematicae Universitatis Carolinae 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Discrete and Continuous Dynamical Systems 4 Differential and Integral Equations 4 Advances in Differential Equations 3 Mathematical Methods in the Applied Sciences 3 Mathematische Annalen 3 Handbook of Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Transactions of the American Mathematical Society 2 Asymptotic Analysis 2 Mathematica Bohemica 2 Acta Mathematica Universitatis Comenianae. New Series 2 Journal of Dynamics and Differential Equations 2 Advances in Mathematical Sciences and Applications 2 Birkhäuser Advanced Texts. Basler Lehrbücher 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Archivum Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Communications on Pure and Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 SN Partial Differential Equations and Applications all top 5 Fields 84 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 2,204 times in 1,561 Documents Cited by ▼ Year ▼ Superlinear parabolic problems. Blow-up, global existence and steady states. Zbl 1128.35003 Quittner, Pavol; Souplet, Philippe 683 2007 Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038 Poláčik, Peter; Quittner, Pavol; Souplet, Philippe 252 2007 Superlinear parabolic problems. Blow-up, global existence and steady states. 2nd revised and updated edition. Zbl 1423.35004 Quittner, Pavol; Souplet, Philippe 135 2019 Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051 Poláčik, Peter; Quittner, Pavol; Souplet, Philippe 89 2007 Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Zbl 0743.35038 Chipot, M.; Fila, M.; Quittner, P. 62 1991 A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. Zbl 1113.35062 Quittner, P.; Souplet, Ph. 49 2004 The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014 Fila, Marek; Quittner, Pavol 48 1991 On global existence and stationary solutions for two classes of semilinear parabolic problems. Zbl 0794.35089 Quittner, Pavol 37 1993 Handbook of differential equations: Stationary partial differential equations. Vol. III. Zbl 1180.35004 37 2006 Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure. Zbl 1336.35193 Quittner, Pavol 36 2016 Symmetry of components for semilinear elliptic systems. Zbl 1255.35111 Quittner, Pavol; Souplet, Philippe 35 2012 A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation. Zbl 1092.35045 Poláčik, Peter; Quittner, Pavol 31 2006 The blow-up rate for a semilinear parabolic system. Zbl 0934.35062 Fila, Marek; Quittner, Pavol 30 1999 A priori bounds for global solutions of a semilinear parabolic problem. Zbl 0940.35112 Quittner, P. 30 1999 Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. Zbl 1254.35077 Quittner, Pavol; Souplet, Philippe 29 2012 Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041 Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol 28 2011 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094 Amann, H.; Quittner, P. 26 2004 Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems. Zbl 1034.35013 Quittner, Pavol 26 2003 Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems. Zbl 1058.35120 Quittner, Pavol 24 2004 Bifurcation points and eigenvalues of inequalities of reaction-diffusion type. Zbl 0617.35053 Quittner, Pavol 24 1987 Blow-up for semilinear parabolic equations with a gradient term. Zbl 0768.35049 Quittner, Pavol 22 1991 Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions. Zbl 1147.35042 Quittner, P.; Reichel, W. 21 2008 Optimal Liouville theorems for superlinear parabolic problems. Zbl 1469.35071 Quittner, Pavol 21 2021 Parabolic problems with nonlinear dynamical boundary conditions and singular initial data. Zbl 1018.35047 Arrieta, José M.; Quittner, Pavol; Rodríguez-Bernal, Aníbal 21 2001 Initial blow-up rates and universal bounds for nonlinear heat equations. Zbl 1044.35027 Quittner, Pavol; Souplet, Philippe; Winkler, Michael 19 2004 Equilibria, connecting orbits and a priori bounds for semilinear parabolic equations with nonlinear boundary conditions. Zbl 1077.35065 Chipot, Michel; Quittner, Pavol 17 2004 Blow-up of positive solutions of a semilinear parabolic equation with a gradient term. Zbl 1028.35071 Chlebík, Miroslav; Fila, Marek; Quittner, Pavol 17 2003 Liouville type theorems and complete blow-up for indefinite superlinear parabolic equations. Zbl 1093.35037 Poláčik, Peter; Quittner, Pavol 17 2005 Global solutions of the Laplace equation with a nonlinear dynamical boundary condition. Zbl 0880.35056 Fila, Marek; Quittner, Pavol 16 1997 Admissible \(L_p\) norms for local existence and for continuation in semilinear parabolic systems are not the same. Zbl 1006.35048 Quittner, Pavol; Souplet, Philippe 16 2001 Solvability and multiplicity results for variational inequalities. Zbl 0698.49004 Quittner, Pavol 16 1989 A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049 Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol 16 2008 Large time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition. Zbl 0935.35072 Fila, Marek; Quittner, Pavol 15 1999 The decay of global solutions of a semilinear heat equation. Zbl 1149.35321 Quittner, Pavol 13 2008 Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems. Zbl 1515.35054 Quittner, Pavol 13 2016 Universal bound for global positive solutions of a superlinear parabolic problem. Zbl 0981.35010 Quittner, Pavol 12 2001 The quenching problem on the \(N\)-dimensional ball. Zbl 0792.35097 Fila, Marek; Hulshof, Josephus; Quittner, Pavol 12 1992 Complete and energy blow-up in indefinite superlinear parabolic problems. Zbl 1114.35093 López-Gómez, Julián; Quittner, Pavol 12 2006 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071 Amann, Herbert; Quittner, Pavol 11 1998 Parabolic Liouville-type theorems via their elliptic counterparts. Zbl 1306.35066 Quittner, Pavol; Souplet, Philippe 11 2011 Boundedness of trajectories of parabolic equations and stationary solutions via dynamical methods. Zbl 0809.35045 Quittner, Pavol 10 1994 On the principle of linearized stability for variational inequalities. Zbl 0642.49006 Quittner, Pavol 10 1989 A priori bounds and complete blow up of positive solutions of indefinite superlinear parabolic problems. Zbl 1071.35026 Quittner, Pavol; Simondon, Frédérique 9 2005 Signed solutions for a semilinear elliptic problem. Zbl 1131.35339 Quittner, Pavol 9 1998 A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085 Amann, Herbert; Quittner, Pavol 8 1995 Bounds of global solutions of parabolic problems with nonlinear boundary conditions. Zbl 1080.35039 Quittner, Pavol; Souplet, Philippe 8 2003 Radial positive solutions for a semilinear elliptic equation with a gradient term. Zbl 0803.35035 Fila, M.; Quittner, P. 7 1993 A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities. Zbl 1288.35233 Quittner, Pavol 7 2014 Optimal control problems with final observation governed by explosive paarabolic equations. Zbl 1110.49004 Amann, H.; Quittner, P. 6 2005 Handbook of differential equations: Stationary partial differential equations. Vol. II. Zbl 1071.35002 6 2005 Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Zbl 1074.35060 Quittner, Pavol; Rodríguez-Bernal, Aníbal 6 2005 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005 Amann, H.; Quittner, P. 6 2006 Threshold and strong threshold solutions of a semilinear parabolic equation. Zbl 1430.35148 Quittner, Pavol 6 2017 Entire and ancient solutions of a supercritical semilinear heat equation. Zbl 1458.35228 Poláčik, Peter; Quittner, Pavol 6 2021 An instability criterion for variational inequalities. Zbl 0735.35010 Quittner, Pavol 5 1990 A priori estimates of global solutions of superlinear parabolic problems without variational structure. Zbl 1029.35049 Quittner, Pavol; Souplet, Philippe 5 2003 Blow-up rate of solutions of parabolic problems with nonlinear boundary conditions. Zbl 1364.35175 Quittner, Pavol; Souplet, Philippe 5 2012 Global existence of solutions of parabolic problems with nonlinear boundary conditions. Zbl 0865.35067 Quittner, Pavol 4 1996 Transition from decay to blow-up in a parabolic system. Zbl 0911.35062 Quittner, Pavol 4 1998 Global existence from single-component \(L_{p}\) estimates in a semilinear reaction-diffusion system. Zbl 0993.35048 Quittner, Pavol; Souplet, Philippe 4 2002 Spectral analysis of variational inequalities. Zbl 0652.49008 Quittner, P. 4 1988 Liouville theorems for superlinear parabolic problems with gradient structure. Zbl 1443.35056 Quittner, Pavol 4 2020 Uniqueness of singular self-similar solutions of a semilinear parabolic equation. Zbl 1463.35327 Quittner, Pavol 4 2018 Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation. Zbl 1153.35014 Poláčik, Peter; Quittner, Pavol 3 2008 Boundedness and a priori estimates of solutions to elliptic systems with Dirichlet-Neumann boundary conditions. Zbl 1190.35075 Kelemen, Sándor; Quittner, Pavol 3 2010 Handbook of differential equations: Stationary partial differential equations. Vol. I. Zbl 1058.35001 3 2004 Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142 Quittner, Pavol 3 2022 A remark on the stability of stationary solutions of parabolic variational inequalities. Zbl 0738.49006 Quittner, Pavol 2 1990 Complete and energy blow-up in superlinear parabolic problems. Zbl 1144.35402 Quittner, Pavol 2 2005 Higher order asymptotics of solutions of a singular ODE. Zbl 1367.34012 Quittner, Pavol 2 2015 Boundedness, a priori estimates and existence of solutions of elliptic systems with nonlinear boundary conditions. Zbl 1234.35107 Kosírová, I.; Quittner, P. 2 2011 On the unique solvability of nonresonant elliptic equations. Zbl 0603.35035 Quittner, Pavol; Žubrinić, Darko 2 1986 A priori bounds for solutions of parabolic problems and applications. Zbl 1010.35017 Quittner, Pavol 2 2002 On the multiplicity of self-similar solutions of the semilinear heat equation. Zbl 1428.35170 Poláčik, P.; Quittner, P. 2 2020 Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system. Zbl 1498.35229 Quittner, Pavol 2 2022 Global existence for semilinear parabolic problems. Zbl 0987.35073 Quittner, Pavol 1 2000 Singular sets and number of solutions of nonlinear boundary value problems. Zbl 0529.35027 Quittner, Pavol 1 1983 Generic properties of von Kármán equations. Zbl 0511.35034 Quittner, Pavol 1 1982 An optimal Liouville theorem for the linear heat equation with a nonlinear boundary condition. Zbl 07818485 Quittner, Pavol 1 2024 An optimal Liouville theorem for the linear heat equation with a nonlinear boundary condition. Zbl 07818485 Quittner, Pavol 1 2024 Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142 Quittner, Pavol 3 2022 Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system. Zbl 1498.35229 Quittner, Pavol 2 2022 Optimal Liouville theorems for superlinear parabolic problems. Zbl 1469.35071 Quittner, Pavol 21 2021 Entire and ancient solutions of a supercritical semilinear heat equation. Zbl 1458.35228 Poláčik, Peter; Quittner, Pavol 6 2021 Liouville theorems for superlinear parabolic problems with gradient structure. Zbl 1443.35056 Quittner, Pavol 4 2020 On the multiplicity of self-similar solutions of the semilinear heat equation. Zbl 1428.35170 Poláčik, P.; Quittner, P. 2 2020 Superlinear parabolic problems. Blow-up, global existence and steady states. 2nd revised and updated edition. Zbl 1423.35004 Quittner, Pavol; Souplet, Philippe 135 2019 Uniqueness of singular self-similar solutions of a semilinear parabolic equation. Zbl 1463.35327 Quittner, Pavol 4 2018 Threshold and strong threshold solutions of a semilinear parabolic equation. Zbl 1430.35148 Quittner, Pavol 6 2017 Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure. Zbl 1336.35193 Quittner, Pavol 36 2016 Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems. Zbl 1515.35054 Quittner, Pavol 13 2016 Higher order asymptotics of solutions of a singular ODE. Zbl 1367.34012 Quittner, Pavol 2 2015 A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities. Zbl 1288.35233 Quittner, Pavol 7 2014 Symmetry of components for semilinear elliptic systems. Zbl 1255.35111 Quittner, Pavol; Souplet, Philippe 35 2012 Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. Zbl 1254.35077 Quittner, Pavol; Souplet, Philippe 29 2012 Blow-up rate of solutions of parabolic problems with nonlinear boundary conditions. Zbl 1364.35175 Quittner, Pavol; Souplet, Philippe 5 2012 Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041 Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol 28 2011 Parabolic Liouville-type theorems via their elliptic counterparts. Zbl 1306.35066 Quittner, Pavol; Souplet, Philippe 11 2011 Boundedness, a priori estimates and existence of solutions of elliptic systems with nonlinear boundary conditions. Zbl 1234.35107 Kosírová, I.; Quittner, P. 2 2011 Boundedness and a priori estimates of solutions to elliptic systems with Dirichlet-Neumann boundary conditions. Zbl 1190.35075 Kelemen, Sándor; Quittner, Pavol 3 2010 Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions. Zbl 1147.35042 Quittner, P.; Reichel, W. 21 2008 A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049 Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol 16 2008 The decay of global solutions of a semilinear heat equation. Zbl 1149.35321 Quittner, Pavol 13 2008 Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation. Zbl 1153.35014 Poláčik, Peter; Quittner, Pavol 3 2008 Superlinear parabolic problems. Blow-up, global existence and steady states. Zbl 1128.35003 Quittner, Pavol; Souplet, Philippe 683 2007 Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038 Poláčik, Peter; Quittner, Pavol; Souplet, Philippe 252 2007 Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051 Poláčik, Peter; Quittner, Pavol; Souplet, Philippe 89 2007 Handbook of differential equations: Stationary partial differential equations. Vol. III. Zbl 1180.35004 37 2006 A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation. Zbl 1092.35045 Poláčik, Peter; Quittner, Pavol 31 2006 Complete and energy blow-up in indefinite superlinear parabolic problems. Zbl 1114.35093 López-Gómez, Julián; Quittner, Pavol 12 2006 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005 Amann, H.; Quittner, P. 6 2006 Liouville type theorems and complete blow-up for indefinite superlinear parabolic equations. Zbl 1093.35037 Poláčik, Peter; Quittner, Pavol 17 2005 A priori bounds and complete blow up of positive solutions of indefinite superlinear parabolic problems. Zbl 1071.35026 Quittner, Pavol; Simondon, Frédérique 9 2005 Optimal control problems with final observation governed by explosive paarabolic equations. Zbl 1110.49004 Amann, H.; Quittner, P. 6 2005 Handbook of differential equations: Stationary partial differential equations. Vol. II. Zbl 1071.35002 6 2005 Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Zbl 1074.35060 Quittner, Pavol; Rodríguez-Bernal, Aníbal 6 2005 Complete and energy blow-up in superlinear parabolic problems. Zbl 1144.35402 Quittner, Pavol 2 2005 A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. Zbl 1113.35062 Quittner, P.; Souplet, Ph. 49 2004 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094 Amann, H.; Quittner, P. 26 2004 Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems. Zbl 1058.35120 Quittner, Pavol 24 2004 Initial blow-up rates and universal bounds for nonlinear heat equations. Zbl 1044.35027 Quittner, Pavol; Souplet, Philippe; Winkler, Michael 19 2004 Equilibria, connecting orbits and a priori bounds for semilinear parabolic equations with nonlinear boundary conditions. Zbl 1077.35065 Chipot, Michel; Quittner, Pavol 17 2004 Handbook of differential equations: Stationary partial differential equations. Vol. I. Zbl 1058.35001 3 2004 Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems. Zbl 1034.35013 Quittner, Pavol 26 2003 Blow-up of positive solutions of a semilinear parabolic equation with a gradient term. Zbl 1028.35071 Chlebík, Miroslav; Fila, Marek; Quittner, Pavol 17 2003 Bounds of global solutions of parabolic problems with nonlinear boundary conditions. Zbl 1080.35039 Quittner, Pavol; Souplet, Philippe 8 2003 A priori estimates of global solutions of superlinear parabolic problems without variational structure. Zbl 1029.35049 Quittner, Pavol; Souplet, Philippe 5 2003 Global existence from single-component \(L_{p}\) estimates in a semilinear reaction-diffusion system. Zbl 0993.35048 Quittner, Pavol; Souplet, Philippe 4 2002 A priori bounds for solutions of parabolic problems and applications. Zbl 1010.35017 Quittner, Pavol 2 2002 Parabolic problems with nonlinear dynamical boundary conditions and singular initial data. Zbl 1018.35047 Arrieta, José M.; Quittner, Pavol; Rodríguez-Bernal, Aníbal 21 2001 Admissible \(L_p\) norms for local existence and for continuation in semilinear parabolic systems are not the same. Zbl 1006.35048 Quittner, Pavol; Souplet, Philippe 16 2001 Universal bound for global positive solutions of a superlinear parabolic problem. Zbl 0981.35010 Quittner, Pavol 12 2001 Global existence for semilinear parabolic problems. Zbl 0987.35073 Quittner, Pavol 1 2000 The blow-up rate for a semilinear parabolic system. Zbl 0934.35062 Fila, Marek; Quittner, Pavol 30 1999 A priori bounds for global solutions of a semilinear parabolic problem. Zbl 0940.35112 Quittner, P. 30 1999 Large time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition. Zbl 0935.35072 Fila, Marek; Quittner, Pavol 15 1999 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071 Amann, Herbert; Quittner, Pavol 11 1998 Signed solutions for a semilinear elliptic problem. Zbl 1131.35339 Quittner, Pavol 9 1998 Transition from decay to blow-up in a parabolic system. Zbl 0911.35062 Quittner, Pavol 4 1998 Global solutions of the Laplace equation with a nonlinear dynamical boundary condition. Zbl 0880.35056 Fila, Marek; Quittner, Pavol 16 1997 Global existence of solutions of parabolic problems with nonlinear boundary conditions. Zbl 0865.35067 Quittner, Pavol 4 1996 A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085 Amann, Herbert; Quittner, Pavol 8 1995 Boundedness of trajectories of parabolic equations and stationary solutions via dynamical methods. Zbl 0809.35045 Quittner, Pavol 10 1994 On global existence and stationary solutions for two classes of semilinear parabolic problems. Zbl 0794.35089 Quittner, Pavol 37 1993 Radial positive solutions for a semilinear elliptic equation with a gradient term. Zbl 0803.35035 Fila, M.; Quittner, P. 7 1993 The quenching problem on the \(N\)-dimensional ball. Zbl 0792.35097 Fila, Marek; Hulshof, Josephus; Quittner, Pavol 12 1992 Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Zbl 0743.35038 Chipot, M.; Fila, M.; Quittner, P. 62 1991 The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014 Fila, Marek; Quittner, Pavol 48 1991 Blow-up for semilinear parabolic equations with a gradient term. Zbl 0768.35049 Quittner, Pavol 22 1991 An instability criterion for variational inequalities. Zbl 0735.35010 Quittner, Pavol 5 1990 A remark on the stability of stationary solutions of parabolic variational inequalities. Zbl 0738.49006 Quittner, Pavol 2 1990 Solvability and multiplicity results for variational inequalities. Zbl 0698.49004 Quittner, Pavol 16 1989 On the principle of linearized stability for variational inequalities. Zbl 0642.49006 Quittner, Pavol 10 1989 Spectral analysis of variational inequalities. Zbl 0652.49008 Quittner, P. 4 1988 Bifurcation points and eigenvalues of inequalities of reaction-diffusion type. Zbl 0617.35053 Quittner, Pavol 24 1987 On the unique solvability of nonresonant elliptic equations. Zbl 0603.35035 Quittner, Pavol; Žubrinić, Darko 2 1986 Singular sets and number of solutions of nonlinear boundary value problems. Zbl 0529.35027 Quittner, Pavol 1 1983 Generic properties of von Kármán equations. Zbl 0511.35034 Quittner, Pavol 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,549 Authors 51 Souplet, Philippe 40 Winkler, Michael 31 Ishige, Kazuhiro 25 Quittner, Pavol 23 Fang, Zhongbo 23 Wei, Juncheng 19 Kawakami, Tatsuki 17 Fujishima, Yohei 17 Kučera, Milan 16 Fila, Marek 16 Mu, Chunlai 16 Zheng, Sining 15 Zhang, Zhengce 14 Ding, Juntang 14 Rossi, Julio Daniel 14 Yin, Jingxue 14 Zou, Wenming 13 Duong, Anh Tuan 13 Poláčik, Peter 13 Weissler, Fred B. 12 Jin, Haiyang 12 Weth, Tobias 12 Yanagida, Eiji 11 Li, Fengjie 11 Liu, Bingchen 11 Phan, Quoc Hung 11 Takahashi, Jin 11 Wang, Mingxin 10 Iagar, Razvan Gabriel 10 Lankeit, Johannes 10 Tayachi, Slim 10 Villavert, John 10 Zhang, Zhitao 9 Dai, Wei 9 Eisner, Jan 9 Ferreira, Lucas Catão de Freitas 9 García-Melián, Jorge 9 Ghergu, Marius 9 Harrabi, Abdellaziz 9 Parshad, Rana D. 9 Sánchez, Ariel 9 Väth, Martin 9 Zaag, Hatem 9 Zhou, Jun 8 Ferreira, Raúl 8 Guo, Zongming 8 Huang, Rui 8 Quaas, Alexander 8 Quirós Gracián, Fernando 8 Sierżȩga, Mikołaj 8 Taliaferro, Steven D. 8 Véron, Laurent 7 Bao, Jiguang 7 de Pablo, Arturo 7 Del Pino, Manuel A. 7 Filippucci, Roberta 7 Guo, Jong-Shenq 7 Harada, Junichi 7 Huang, Haochuan 7 Laister, Robert 7 Lei, Yutian 7 Loayza, Miguel 7 Miyamoto, Yasuhito 7 Mizoguchi, Noriko 7 Musso, Monica 7 Naito, Yūki 7 Peng, Shaolong 7 Punzo, Fabio 7 Qin, Guolin 7 Reichel, Wolfgang 7 Rodríguez-Bernal, Aníbal 7 Song, Xianfa 7 Torebek, Berikbol Tillabayuly 7 Wang, Jun 7 Wang, Zhian 7 Yang, Hui 6 Bidaut-Veron, Marie-Françoise 6 Castillo, Ricardo 6 Choi, Woocheol 6 Farina, Alberto 6 Hisa, Kotaro 6 Ioku, Norisuke 6 Ishiwata, Michinori 6 Kavallaris, Nikos Ioannis 6 Kirane, Mokhtar 6 Li, Congming 6 Li, Kui 6 Li, Yuxiang 6 Lin, Zhigui 6 Robinson, James Cooper 6 Ruf, Bernhard 6 Shang, Haifeng 6 Suzuki, Masamitsu 6 Tello, José Ignacio 6 Terraneo, Elide 6 Vazquez, Juan Luis 6 Vétois, Jérôme 6 Zhang, Rong 5 Bai, Xueli 5 Biler, Piotr ...and 1,449 more Authors all top 5 Cited in 249 Serials 138 Journal of Differential Equations 115 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 111 Journal of Mathematical Analysis and Applications 52 Discrete and Continuous Dynamical Systems 37 Calculus of Variations and Partial Differential Equations 35 Mathematical Methods in the Applied Sciences 35 Communications on Pure and Applied Analysis 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Nonlinear Analysis. Real World Applications 28 Journal of Evolution Equations 26 Applicable Analysis 25 Mathematische Annalen 23 Journal of Functional Analysis 23 Boundary Value Problems 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Applied Mathematics Letters 20 Discrete and Continuous Dynamical Systems. Series B 19 NoDEA. Nonlinear Differential Equations and Applications 18 Proceedings of the American Mathematical Society 17 Advances in Nonlinear Analysis 16 Nonlinearity 16 Journal of Dynamics and Differential Equations 16 Communications in Contemporary Mathematics 16 Advanced Nonlinear Studies 15 Computers & Mathematics with Applications 15 Transactions of the American Mathematical Society 14 Mathematische Nachrichten 13 Communications in Partial Differential Equations 13 Discrete and Continuous Dynamical Systems. Series S 12 SIAM Journal on Mathematical Analysis 11 Journal d’Analyse Mathématique 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Nonlinear Analysis. Theory, Methods & Applications 10 Advances in Mathematics 10 Applied Mathematics and Computation 9 Archive for Rational Mechanics and Analysis 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Electronic Journal of Differential Equations (EJDE) 9 Science China. Mathematics 9 SN Partial Differential Equations and Applications 8 Journal of Computational and Applied Mathematics 8 Abstract and Applied Analysis 8 Complex Variables and Elliptic Equations 7 Journal of Mathematical Physics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Mediterranean Journal of Mathematics 7 Journal of Fixed Point Theory and Applications 6 Archiv der Mathematik 6 Mathematische Zeitschrift 6 Zeitschrift für Analysis und ihre Anwendungen 6 Journal of Inequalities and Applications 6 Revista Matemática Complutense 6 Acta Mathematica Sinica. English Series 6 Milan Journal of Mathematics 5 Applied Mathematics and Optimization 5 Czechoslovak Mathematical Journal 5 Results in Mathematics 5 Acta Applicandae Mathematicae 5 European Journal of Applied Mathematics 5 The Journal of Geometric Analysis 5 Journal of Elliptic and Parabolic Equations 4 Journal of Mathematical Biology 4 Rocky Mountain Journal of Mathematics 4 Journal of the Mathematical Society of Japan 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Japan Journal of Industrial and Applied Mathematics 4 Applications of Mathematics 4 Taiwanese Journal of Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Differential Equations 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Evolution Equations and Control Theory 4 AIMS Mathematics 4 Mathematics in Engineering 4 Electronic Research Archive 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Mathematical Biosciences 3 Mathematical Notes 3 Monatshefte für Mathematik 3 Physica D 3 Revista Matemática Iberoamericana 3 Asymptotic Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 Potential Analysis 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Advances in Differential Equations 3 Fractional Calculus & Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Journal of Dynamical and Control Systems 3 Annales Henri Poincaré 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Difference Equations ...and 149 more Serials all top 5 Cited in 38 Fields 1,482 Partial differential equations (35-XX) 166 Biology and other natural sciences (92-XX) 59 Operator theory (47-XX) 52 Ordinary differential equations (34-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 42 Numerical analysis (65-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Integral equations (45-XX) 28 Dynamical systems and ergodic theory (37-XX) 23 Functional analysis (46-XX) 21 Fluid mechanics (76-XX) 19 Real functions (26-XX) 17 Mechanics of deformable solids (74-XX) 15 Probability theory and stochastic processes (60-XX) 14 Systems theory; control (93-XX) 13 Differential geometry (53-XX) 12 Quantum theory (81-XX) 10 Potential theory (31-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Optics, electromagnetic theory (78-XX) 6 Difference and functional equations (39-XX) 6 Relativity and gravitational theory (83-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year