Existence results for the p-Laplacian with nonlinear boundary conditions
In this paper we study the existence of nontrivial solutions for the problem Δpu = up-2u in a bounded smooth domain Ω ⊂ ℝN, with a nonlinear boundary condition given by |∇u|p-2∂u/∂v = f(u) on the boundary of the domain. The proofs are based on variational and topological arguments. © 2001 Academic P...
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2001
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v263_n1_p195_Bonder http://hdl.handle.net/20.500.12110/paper_0022247X_v263_n1_p195_Bonder |
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paper:paper_0022247X_v263_n1_p195_Bonder2023-06-08T14:47:47Z Existence results for the p-Laplacian with nonlinear boundary conditions Rossi, Julio Daniel Nonlinear boundary conditions p-Laplacian In this paper we study the existence of nontrivial solutions for the problem Δpu = up-2u in a bounded smooth domain Ω ⊂ ℝN, with a nonlinear boundary condition given by |∇u|p-2∂u/∂v = f(u) on the boundary of the domain. The proofs are based on variational and topological arguments. © 2001 Academic Press. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v263_n1_p195_Bonder http://hdl.handle.net/20.500.12110/paper_0022247X_v263_n1_p195_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Nonlinear boundary conditions p-Laplacian |
| spellingShingle |
Nonlinear boundary conditions p-Laplacian Rossi, Julio Daniel Existence results for the p-Laplacian with nonlinear boundary conditions |
| topic_facet |
Nonlinear boundary conditions p-Laplacian |
| description |
In this paper we study the existence of nontrivial solutions for the problem Δpu = up-2u in a bounded smooth domain Ω ⊂ ℝN, with a nonlinear boundary condition given by |∇u|p-2∂u/∂v = f(u) on the boundary of the domain. The proofs are based on variational and topological arguments. © 2001 Academic Press. |
| author |
Rossi, Julio Daniel |
| author_facet |
Rossi, Julio Daniel |
| author_sort |
Rossi, Julio Daniel |
| title |
Existence results for the p-Laplacian with nonlinear boundary conditions |
| title_short |
Existence results for the p-Laplacian with nonlinear boundary conditions |
| title_full |
Existence results for the p-Laplacian with nonlinear boundary conditions |
| title_fullStr |
Existence results for the p-Laplacian with nonlinear boundary conditions |
| title_full_unstemmed |
Existence results for the p-Laplacian with nonlinear boundary conditions |
| title_sort |
existence results for the p-laplacian with nonlinear boundary conditions |
| publishDate |
2001 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v263_n1_p195_Bonder http://hdl.handle.net/20.500.12110/paper_0022247X_v263_n1_p195_Bonder |
| work_keys_str_mv |
AT rossijuliodaniel existenceresultsfortheplaplacianwithnonlinearboundaryconditions |
| _version_ |
1768544471529553920 |