Edit Profile (opens in new tab) Bernis, Francisco Co-Author Distance Author ID: bernis.francisco Published as: Bernis, Francisco; Bernis, F. External Links: ORCID · ResearchGate Documents Indexed: 34 Publications since 1982 Reviewing Activity: 19 Reviews Co-Authors: 13 Co-Authors with 12 Joint Publications 787 Co-Co-Authors all top 5 Co-Authors 22 single-authored 3 Hulshof, Josephus 2 Ferreira, Raúl 2 Peletier, Lambertus Adrianus 1 Friedman, Avner 1 Garcia-Azorero, Jesús 1 Grunau, Hans-Christoph 1 King, John Robert 1 Kwong, Man Kam 1 McLeod, John Bryce 1 Peral Alonso, Ireneo 1 Quirós Gracián, Fernando 1 Vazquez, Juan Luis 1 Williams, S. M. all top 5 Serials 4 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Differential Equations 2 Advances in Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI all top 5 Fields 29 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 667 times in 472 Documents Cited by ▼ Year ▼ Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143Bernis, Francisco; Friedman, Avner 198 1990 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036Bernis, F.; Garcia-Azorero, J.; Peral, I. 64 1996 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058Bernis, Francisco 52 1996 Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048Bernis, F. 50 1988 Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056Bernis, F.; Peletier, L. A.; Williams, S. M. 49 1992 Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033Bernis, F.; Peletier, L. A. 44 1996 Finite speed of propagation for thin viscous flows when \(2\leq n < \;3\). Zbl 0853.76018Bernis, Francisco 32 1996 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019Ferreira, Raul; Bernis, Francisco 25 1997 Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034Bernis, Francisco 18 1989 Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102Bernis, F. 17 1995 Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050Bernis, F. 14 1986 Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004Bernis, F.; McLeod, J. B. 14 1991 Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007Bernis, F. 12 1982 A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions. Zbl 0756.35038Bernis, Francisco; Hulshof, Josephus; Vazquez, Juan Luis 11 1993 Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094Bernis, Francisco; Hulshof, Josephus; King, John R. 11 2000 Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009Bernis, F. 10 1988 Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057Bernis, Francisco; Grunau, Hans-Christoph 9 1995 Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036Bernis, F. 7 1984 Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054Bernis, Francisco 6 1996 Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040Bernis, F.; Ferreira, R. 6 1999 The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando 4 2000 Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107Bernis, Francisco 4 1992 Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045Bernis, Francisco 3 1984 On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020Bernis, Francisco 2 1996 Change of sign of the solutions to some parabolic problems. Zbl 0657.35069Bernis, F. 2 1987 A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002Bernis, Francisco; Kwong, Man Kam 1 1996 The free boundary of thin viscous flows. Zbl 0888.76017Bernis, F. 1 1996 Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004Bernis, F. 1 1983 Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094Bernis, Francisco; Hulshof, Josephus; King, John R. 11 2000 The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando 4 2000 Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040Bernis, F.; Ferreira, R. 6 1999 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019Ferreira, Raul; Bernis, Francisco 25 1997 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036Bernis, F.; Garcia-Azorero, J.; Peral, I. 64 1996 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058Bernis, Francisco 52 1996 Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033Bernis, F.; Peletier, L. A. 44 1996 Finite speed of propagation for thin viscous flows when \(2\leq n < \;3\). Zbl 0853.76018Bernis, Francisco 32 1996 Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054Bernis, Francisco 6 1996 On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020Bernis, Francisco 2 1996 A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002Bernis, Francisco; Kwong, Man Kam 1 1996 The free boundary of thin viscous flows. Zbl 0888.76017Bernis, F. 1 1996 Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102Bernis, F. 17 1995 Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057Bernis, Francisco; Grunau, Hans-Christoph 9 1995 A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions. Zbl 0756.35038Bernis, Francisco; Hulshof, Josephus; Vazquez, Juan Luis 11 1993 Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056Bernis, F.; Peletier, L. A.; Williams, S. M. 49 1992 Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107Bernis, Francisco 4 1992 Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004Bernis, F.; McLeod, J. B. 14 1991 Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143Bernis, Francisco; Friedman, Avner 198 1990 Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034Bernis, Francisco 18 1989 Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048Bernis, F. 50 1988 Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009Bernis, F. 10 1988 Change of sign of the solutions to some parabolic problems. Zbl 0657.35069Bernis, F. 2 1987 Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050Bernis, F. 14 1986 Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036Bernis, F. 7 1984 Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045Bernis, Francisco 3 1984 Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004Bernis, F. 1 1983 Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007Bernis, F. 12 1982 all cited Publications top 5 cited Publications all top 5 Cited by 576 Authors 16 Taranets, Roman M. 12 Giacomelli, Lorenzo 12 Grün, Günther 11 Galaktionov, Victor Aleksandrovich 11 Liang, Bo 11 Liu, Chein-Shan 9 Gnann, Manuel V. 9 Liu, Jianguo 9 Witelski, Thomas P. 8 Bernis, Francisco 8 Chugunova, Marina A. 8 Díaz Díaz, Jesús Ildefonso 8 King, John Robert 8 Tedeev, Anatoliĭ Fedorovich 7 Knüpfer, Hans 7 Winkler, Michael 6 Momoniat, Ebrahim 6 Otto, Felix 6 Vazquez, Juan Luis 6 Velázquez, Juan J. L. 5 Álvarez-Caudevilla, Pablo 5 Betelú, Santiago I. 5 Fischer, Julian 5 Minhós, Feliz Manuel 5 Xu, Xiangsheng 4 Bertsch, Michiel 4 Bokalo, Mykola M. 4 Bruell, Gabriele 4 Degtyarev, Sergeĭ Petrovich 4 Du, Zengji 4 Feng, Yuqiang 4 Figueiredo, Giovany Malcher 4 Fontelos López, Marco Antonio 4 Gao, Yuan 4 Jüngel, Ansgar 4 Martynenko, A. V. 4 Matthes, Daniel 4 Mellet, Antoine 4 Peschka, Dirk 4 Wang, Ying 4 Yin, Jingxue 4 Zhang, Yajing 3 Agarwal, Ravi P. 3 Alves, Claudianor Oliveira 3 Andriyanova, Èlina Radikovna 3 Antontsev, Stanislav Nikolaevich 3 Barile, Sara 3 Beretta, Elena 3 Bernoff, Andrew J. 3 Buhrii, Oleh 3 Bukal, Mario 3 Da Silva, Edcarlos Domingos 3 da Silva, João Pablo Pinheiro 3 Dal Passo, Roberta 3 Borges de Oliveira, Hermenegildo 3 Do Ó, João M. Bezerra 3 Furtado, Marcelo Fernandes 3 Ge, Weigao 3 Ge, Yuxin 3 Gess, Benjamin 3 Grunau, Hans-Christoph 3 Ji, Hangjie 3 Lienstromberg, Christina 3 Majdoub, Mohamed 3 Masmoudi, Nader 3 McCann, Robert J. 3 Min, Lihua 3 Miyagaki, Olimpio Hiroshi 3 Moreira dos Santos, Ederson 3 Peng, Xiting 3 Pernas-Castaño, Tania 3 Rakotoson, Jean-Émile 3 Rakotoson, Jean-Michel 3 Schätzler, Leah 3 Shishkov, Andrey E. 3 Stefanelli, Ulisse 3 Tayachi, Slim 3 Wang, Li 3 Yang, Xiaoping 2 Agosti, Abramo 2 Andreucci, Daniele 2 Bai, Zhanbing 2 Barenblatt, Grigory Isaakovich 2 Bögelein, Verena 2 Bokalo, N. M. 2 Boutat, Mohammed 2 Bowen, Mark 2 Buhrii, Nataliya V. 2 Buhrii, Oleq M. 2 Carlen, Eric Anders 2 Cavalcante, Thiago R. 2 Chaves, Manuela 2 Chen, Caisheng 2 Cheung, Ka-Luen 2 Cuesta Romero, Carlota Maria 2 D’Ambrosio, Lorenzo 2 Diez, Javier Alberto 2 Duzaar, Frank 2 Ebmeyer, Carsten 2 Evans, Jonathan David ...and 476 more Authors all top 5 Cited in 151 Serials 34 Journal of Mathematical Analysis and Applications 26 Journal of Differential Equations 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Communications in Partial Differential Equations 12 Applied Mathematics Letters 12 SIAM Journal on Mathematical Analysis 11 Applicable Analysis 11 Archive for Rational Mechanics and Analysis 11 Discrete and Continuous Dynamical Systems 10 European Journal of Applied Mathematics 8 NoDEA. Nonlinear Differential Equations and Applications 8 Boundary Value Problems 7 Nonlinear Analysis. Real World Applications 7 Nonlinear Analysis. Theory, Methods & Applications 6 Journal of Computational Physics 6 Journal of Mathematical Physics 6 Applied Mathematics and Computation 6 Physica D 5 Mathematical Methods in the Applied Sciences 5 Ukrainian Mathematical Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Mathematical Sciences (New York) 5 Journal of Evolution Equations 5 Advances in Nonlinear Analysis 4 Computers & Mathematics with Applications 4 Journal of Engineering Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Zeitschrift für Analysis und ihre Anwendungen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Mathematical and Computer Modelling 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Nonlinear Science 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Electronic Journal of Differential Equations (EJDE) 4 Abstract and Applied Analysis 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 3 Communications in Mathematical Physics 3 Nonlinearity 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Siberian Mathematical Journal 3 Computational and Applied Mathematics 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Journal of Elliptic and Parabolic Equations 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Sbornik: Mathematics 2 Arab Journal of Mathematical Sciences 2 Matematychni Studiï 2 Journal of Mathematical Fluid Mechanics 2 Interfaces and Free Boundaries 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 Mathematical Modelling and Analysis 2 Milan Journal of Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal of Differential Equations 2 Evolution Equations and Control Theory 2 International Journal of Applied and Computational Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Transport Theory and Statistical Physics 1 Chaos, Solitons and Fractals 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Meccanica 1 Michigan Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis ...and 51 more Serials all top 5 Cited in 31 Fields 381 Partial differential equations (35-XX) 155 Fluid mechanics (76-XX) 60 Ordinary differential equations (34-XX) 37 Numerical analysis (65-XX) 26 Mechanics of deformable solids (74-XX) 22 Operator theory (47-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Potential theory (31-XX) 8 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 2 Difference and functional equations (39-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) Citations by Year