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 804 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 29 Publications have been cited 733 times in 514 Documents Cited by ▼ Year ▼ Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143 Bernis, Francisco; Friedman, Avner 218 1990 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036 Bernis, F.; Garcia-Azorero, J.; Peral, I. 71 1996 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058 Bernis, Francisco 56 1996 Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048 Bernis, F. 53 1988 Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056 Bernis, F.; Peletier, L. A.; Williams, S. M. 53 1992 Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033 Bernis, F.; Peletier, L. A. 49 1996 Finite speed of propagation for thin viscous flows when \(2\leq n < \;3\). Zbl 0853.76018 Bernis, Francisco 34 1996 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019 Ferreira, Raul; Bernis, Francisco 29 1997 Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102 Bernis, F. 19 1995 Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034 Bernis, Francisco 18 1989 Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004 Bernis, F.; McLeod, J. B. 14 1991 A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions. Zbl 0756.35038 Bernis, Francisco; Hulshof, Josephus; Vazquez, Juan Luis 14 1993 Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050 Bernis, F. 14 1986 Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094 Bernis, Francisco; Hulshof, Josephus; King, John R. 13 2000 Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007 Bernis, F. 12 1982 Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009 Bernis, F. 11 1988 Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057 Bernis, Francisco; Grunau, Hans-Christoph 10 1995 Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036 Bernis, F. 8 1984 Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054 Bernis, Francisco 7 1996 Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040 Bernis, F.; Ferreira, R. 6 1999 The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043 Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando 5 2000 Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107 Bernis, Francisco 4 1992 Change of sign of the solutions to some parabolic problems. Zbl 0657.35069 Bernis, F. 4 1987 Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045 Bernis, Francisco 3 1984 Source-type solutions of fourth order degenerate parabolic equations. Zbl 0665.35036 Bernis, Francisco 3 1988 On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020 Bernis, Francisco 2 1996 A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002 Bernis, Francisco; Kwong, Man Kam 1 1996 The free boundary of thin viscous flows. Zbl 0888.76017 Bernis, F. 1 1996 Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004 Bernis, F. 1 1983 Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094 Bernis, Francisco; Hulshof, Josephus; King, John R. 13 2000 The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043 Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando 5 2000 Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040 Bernis, F.; Ferreira, R. 6 1999 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019 Ferreira, Raul; Bernis, Francisco 29 1997 Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036 Bernis, F.; Garcia-Azorero, J.; Peral, I. 71 1996 Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058 Bernis, Francisco 56 1996 Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033 Bernis, F.; Peletier, L. A. 49 1996 Finite speed of propagation for thin viscous flows when \(2\leq n < \;3\). Zbl 0853.76018 Bernis, Francisco 34 1996 Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054 Bernis, Francisco 7 1996 On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020 Bernis, Francisco 2 1996 A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002 Bernis, Francisco; Kwong, Man Kam 1 1996 The free boundary of thin viscous flows. Zbl 0888.76017 Bernis, F. 1 1996 Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102 Bernis, F. 19 1995 Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057 Bernis, Francisco; Grunau, Hans-Christoph 10 1995 A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions. Zbl 0756.35038 Bernis, Francisco; Hulshof, Josephus; Vazquez, Juan Luis 14 1993 Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056 Bernis, F.; Peletier, L. A.; Williams, S. M. 53 1992 Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107 Bernis, Francisco 4 1992 Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004 Bernis, F.; McLeod, J. B. 14 1991 Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143 Bernis, Francisco; Friedman, Avner 218 1990 Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034 Bernis, Francisco 18 1989 Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048 Bernis, F. 53 1988 Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009 Bernis, F. 11 1988 Source-type solutions of fourth order degenerate parabolic equations. Zbl 0665.35036 Bernis, Francisco 3 1988 Change of sign of the solutions to some parabolic problems. Zbl 0657.35069 Bernis, F. 4 1987 Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050 Bernis, F. 14 1986 Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036 Bernis, F. 8 1984 Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045 Bernis, Francisco 3 1984 Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004 Bernis, F. 1 1983 Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007 Bernis, F. 12 1982 all cited Publications top 5 cited Publications all top 5 Cited by 632 Authors 19 Taranets, Roman M. 12 Giacomelli, Lorenzo 12 Grün, Günther 12 Liang, Bo 11 Galaktionov, Victor Aleksandrovich 11 Liu, Changchun 9 Bernis, Francisco 9 Chugunova, Marina A. 9 Gnann, Manuel V. 9 Liu, Jianguo 9 Tedeev, Anatoliĭ Fedorovich 9 Witelski, Thomas P. 8 Díaz Díaz, Jesús Ildefonso 8 King, John Robert 8 Velázquez, Juan J. L. 7 Knüpfer, Hans 7 Winkler, Michael 6 Momoniat, Ebrahim 6 Otto, Felix 6 Vazquez, Juan Luis 5 Agosti, Abramo 5 Álvarez-Caudevilla, Pablo 5 Betelú, Santiago I. 5 Fischer, Julian 5 Ji, Hangjie 5 Lienstromberg, Christina 5 Mellet, Antoine 5 Minhós, Feliz Manuel 5 Wang, Ying 5 Xu, Xiangsheng 4 Bertsch, Michiel 4 Bokalo, Mykola M. 4 Bruell, Gabriele 4 Bukal, Mario 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 Matthes, Daniel 4 Peschka, Dirk 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 Bögelein, Verena 3 Buhrii, Oleh 3 Ciarletta, Pasquale 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 Duzaar, Frank 3 Furtado, Marcelo Fernandes 3 Ge, Weigao 3 Ge, Yuxin 3 Gess, Benjamin 3 Grunau, Hans-Christoph 3 Majdoub, Mohamed 3 Martynenko, A. V. 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 Seis, Christian 3 Shishkov, Andrey E. 3 Stefanelli, Ulisse 3 Tayachi, Slim 3 Wang, Li 3 Yang, Xiaoping 2 Ait-Mahiout, Karima 2 Andreucci, Daniele 2 Bachouche, Kamal 2 Bai, Zhanbing 2 Barenblatt, Grigory Isaakovich 2 Beljadid, Abdelaziz 2 Benmezaï, Abdelhamid 2 Bica, Alexandru Mihai 2 Bokalo, N. M. 2 Bourgault, Yves 2 Boutat, Mohammed 2 Bowen, Mark 2 Buhrii, Nataliya V. 2 Buhrii, Oleq M. 2 Carlen, Eric Anders 2 Cavalcante, Thiago R. ...and 532 more Authors all top 5 Cited in 162 Serials 35 Journal of Mathematical Analysis and Applications 26 Journal of Differential Equations 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Communications in Partial Differential Equations 14 SIAM Journal on Mathematical Analysis 12 Applicable Analysis 12 Archive for Rational Mechanics and Analysis 12 Applied Mathematics Letters 12 Discrete and Continuous Dynamical Systems 10 European Journal of Applied Mathematics 9 Mathematical Methods in the Applied Sciences 8 NoDEA. Nonlinear Differential Equations and Applications 8 Boundary Value Problems 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Computational Physics 7 Applied Mathematics and Computation 7 Nonlinear Analysis. Real World Applications 6 Journal of Mathematical Physics 6 Physica D 6 Discrete and Continuous Dynamical Systems. Series B 6 Advances in Nonlinear Analysis 5 Ukrainian Mathematical Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Nonlinear Science 5 Journal of Mathematical Sciences (New York) 5 Journal of Evolution Equations 4 Computers & Mathematics with Applications 4 Journal of Engineering Mathematics 4 Nonlinearity 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Mathematische Annalen 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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Electronic Journal of Differential Equations (EJDE) 4 Abstract and Applied Analysis 4 Communications on Pure and Applied Analysis 4 Mediterranean Journal of Mathematics 4 Journal of Elliptic and Parabolic Equations 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Siberian Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 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 Complex Variables and Elliptic Equations 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Computer Physics Communications 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 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 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 Discrete and Continuous Dynamical Systems. Series S 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 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Transport Theory and Statistical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 ...and 62 more Serials all top 5 Cited in 32 Fields 414 Partial differential equations (35-XX) 167 Fluid mechanics (76-XX) 67 Ordinary differential equations (34-XX) 46 Numerical analysis (65-XX) 28 Mechanics of deformable solids (74-XX) 24 Operator theory (47-XX) 20 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) 10 Biology and other natural sciences (92-XX) 8 Potential theory (31-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Integral equations (45-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) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year