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## Bernis, Francisco

Compute Distance To:
 Author ID: bernis.francisco Published as: Bernis, Francisco; Bernis, F. External Links: ORCID · Wikidata · ResearchGate
 Documents Indexed: 34 Publications since 1982 Reviewing Activity: 19 Reviews
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#### 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.
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

28 Publications have been cited 606 times in 425 Documents Cited by Year
Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143
Bernis, Francisco; Friedman, Avner
1990
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
1996
Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056
Bernis, F.; Peletier, L. A.; Williams, S. M.
1992
Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058
Bernis, Francisco
1996
Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048
Bernis, F.
1988
Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033
Bernis, F.; Peletier, L. A.
1996
Finite speed of propagation for thin viscous flows when $$2\leq n < \;3$$. Zbl 0853.76018
Bernis, Francisco
1996
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
1997
Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102
Bernis, F.
1995
Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034
Bernis, Francisco
1989
Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050
Bernis, F.
1986
Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004
Bernis, F.; McLeod, J. B.
1991
Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007
Bernis, F.
1982
Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009
Bernis, F.
1988
Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094
Bernis, Francisco; Hulshof, Josephus; King, John R.
2000
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
1993
Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057
Bernis, Francisco; Grunau, Hans-Christoph
1995
Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036
Bernis, F.
1984
Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040
Bernis, F.; Ferreira, R.
1999
Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054
Bernis, Francisco
1996
The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043
Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando
2000
Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107
Bernis, Francisco
1992
Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045
Bernis, Francisco
1984
On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020
Bernis, Francisco
1996
Change of sign of the solutions to some parabolic problems. Zbl 0657.35069
Bernis, F.
1987
A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002
Bernis, Francisco; Kwong, Man Kam
1996
The free boundary of thin viscous flows. Zbl 0888.76017
Bernis, F.
1996
Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004
Bernis, F.
1983
Dipoles and similarity solutions of the thin film equation in the half-line. Zbl 0942.35094
Bernis, Francisco; Hulshof, Josephus; King, John R.
2000
The “linear” limit of thin film flows as an obstacle-type free boundary problem. Zbl 0971.35043
Bernis, Francisco; Hulshof, Josephus; Quirós, Fernando
2000
Source-type solutions to thin-film equations: The critical case. Zbl 0941.35040
Bernis, F.; Ferreira, R.
1999
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
1997
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
1996
Finite speed of propagation and continuity of the interface for thin viscous flows. Zbl 0846.35058
Bernis, Francisco
1996
Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033
Bernis, F.; Peletier, L. A.
1996
Finite speed of propagation for thin viscous flows when $$2\leq n < \;3$$. Zbl 0853.76018
Bernis, Francisco
1996
Integral inequalities with applications to nonlinear degenerate parabolic equations. Zbl 0889.35054
Bernis, Francisco
1996
On some nonlinear singular boundary value problems of higher order. Zbl 0868.34020
Bernis, Francisco
1996
A Picard method without Lipschitz continuity for some ordinary differential equations. Zbl 0890.34002
Bernis, Francisco; Kwong, Man Kam
1996
The free boundary of thin viscous flows. Zbl 0888.76017
Bernis, F.
1996
Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems. Zbl 0839.35102
Bernis, F.
1995
Critical exponents and multiple critical dimensions for polyharmonic operators. Zbl 0831.35057
Bernis, Francisco; Grunau, Hans-Christoph
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
1993
Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056
Bernis, F.; Peletier, L. A.; Williams, S. M.
1992
Nonlinear parabolic equations arising in semiconductor and viscous droplets models. Zbl 0793.35107
Bernis, Francisco
1992
Similarity solutions of a higher order nonlinear diffusion equation. Zbl 0754.34004
Bernis, F.; McLeod, J. B.
1991
Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143
Bernis, Francisco; Friedman, Avner
1990
Elliptic and parabolic semilinear problems without conditions at infinity. Zbl 0678.35034
Bernis, Francisco
1989
Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Zbl 0609.35048
Bernis, F.
1988
Qualitative properties for some nonlinear higher order degenerate parabolic equations. Zbl 0682.35009
Bernis, F.
1988
Change of sign of the solutions to some parabolic problems. Zbl 0657.35069
Bernis, F.
1987
Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption. Zbl 0627.35050
Bernis, F.
1986
Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N. Zbl 0537.35036
Bernis, F.
1984
Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order. Zbl 0552.34045
Bernis, Francisco
1984
Compactness of the support in convex and non-convex fourth-order elasticity problems. Zbl 0529.49004
Bernis, F.
1983
Compactness of the support in convex and nonconvex fourth order elasticity problems. Zbl 0505.73007
Bernis, F.
1982
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#### Cited by 505 Authors

 15 Taranets, Roman M. 11 Galaktionov, Victor Aleksandrovich 11 Giacomelli, Lorenzo 11 Liu, Chein-Shan 10 Grün, Günther 9 Gnann, Manuel V. 9 Liang, Bo 9 Liu, Jianguo 8 Bernis, Francisco 8 King, John Robert 8 Witelski, Thomas P. 7 Chugunova, Marina A. 7 Diaz Diaz, Jesus Ildefonso 7 Knüpfer, Hans 7 Tedeev, Anatoliĭ Fedorovich 6 Momoniat, Ebrahim 6 Vazquez, Juan Luis 6 Winkler, Michael 5 Álvarez-Caudevilla, Pablo 5 Betelú, Santiago I. 5 Otto, Felix 5 Xu, Xiangsheng 4 Bertsch, Michiel 4 Degtyarev, Sergeĭ Petrovich 4 Du, Zengji 4 Feng, Yuqiang 4 Figueiredo, Giovany Malcher 4 Fischer, Julian 4 Fontelos López, Marco Antonio 4 Gao, Yuan 4 Jüngel, Ansgar 4 Martynenko, A. V. 4 Matthes, Daniel 4 Mellet, Antoine 4 Velázquez, Juan J. L. 4 Yin, Jingxue 4 Zhang, Yajing 3 Agarwal, Ravi P. 3 Alves, Claudianor Oliveira 3 Antontsev, Stanislav Nikolaevich 3 Barile, Sara 3 Beretta, Elena 3 Bernoff, Andrew J. 3 Bokalo, Mykola M. 3 Bruell, Gabriele 3 Buhrii, Oleh 3 Bukal, Mario 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 Grunau, Hans-Christoph 3 Masmoudi, Nader 3 McCann, Robert J. 3 Min, Lihua 3 Minhós, Feliz Manuel 3 Miyagaki, Olimpio Hiroshi 3 Peng, Xiting 3 Peschka, Dirk 3 Rakotoson, Jean-Émile 3 Rakotoson, Jean-Michel 3 Schätzler, Leah 3 Shishkov, Andrey E. 3 Stefanelli, Ulisse 3 Yang, Xiaoping 2 Agosti, Abramo 2 Andriyanova, Èlina Radikovna 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 Chaves, Manuela 2 Chen, Caisheng 2 Cheung, Ka-Luen 2 Cuesta Romero, Carlota Maria 2 Diez, Javier Alberto 2 Duzaar, Frank 2 Ebmeyer, Carsten 2 Evans, Jonathan David 2 Ferreira, Raúl 2 Galiano Casas, Gonzalo 2 Gess, Benjamin 2 Gilardi, Gianni 2 Granero Belinchón, Rafael 2 Guo, Yuxia 2 Hao, Jianghao 2 Hilout, Saïd 2 Hui, Kin Ming 2 Iagar, Razvan Gabriel 2 Imbert, Cyril 2 Jachalski, Sebastian 2 Ji, Hangjie ...and 405 more Authors
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#### Cited in 140 Serials

 32 Journal of Mathematical Analysis and Applications 25 Journal of Differential Equations 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Applied Mathematics Letters 11 Archive for Rational Mechanics and Analysis 11 Communications in Partial Differential Equations 11 SIAM Journal on Mathematical Analysis 10 Applicable Analysis 10 Discrete and Continuous Dynamical Systems 9 European Journal of Applied Mathematics 8 NoDEA. Nonlinear Differential Equations and Applications 7 Nonlinear Analysis. Real World Applications 7 Nonlinear Analysis. Theory, Methods & Applications 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 of Mathematical Sciences (New York) 5 Boundary Value Problems 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Electronic Journal of Differential Equations (EJDE) 4 Abstract and Applied Analysis 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 4 Advances in Nonlinear 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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 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 Journal of Elliptic and Parabolic Equations 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Rocky Mountain Journal of 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 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Sbornik: Mathematics 2 Arab Journal of Mathematical Sciences 2 Journal of Mathematical Fluid Mechanics 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 SIAM Journal on Applied Dynamical Systems 2 Mediterranean Journal of Mathematics 2 International Journal of Differential Equations 2 Ufimskiĭ Matematicheskiĭ Zhurnal 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 Mathematics of Computation 1 Advances in Mathematics 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 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Continuum Mechanics and Thermodynamics ...and 40 more Serials
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#### Cited in 27 Fields

 343 Partial differential equations (35-XX) 139 Fluid mechanics (76-XX) 49 Ordinary differential equations (34-XX) 31 Numerical analysis (65-XX) 26 Mechanics of deformable solids (74-XX) 19 Operator theory (47-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Potential theory (31-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 6 Functional analysis (46-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX)

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