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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todo:paper_0022247X_v263_n1_p195_Bonder2023-10-03T14:29:05Z Existence results for the p-Laplacian with nonlinear boundary conditions Bonder, J.F. Rossi, J.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Bonder, J.F. Rossi, J.D. 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. |
| format |
JOUR |
| author |
Bonder, J.F. Rossi, J.D. |
| author_facet |
Bonder, J.F. Rossi, J.D. |
| author_sort |
Bonder, J.F. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v263_n1_p195_Bonder |
| work_keys_str_mv |
AT bonderjf existenceresultsfortheplaplacianwithnonlinearboundaryconditions AT rossijd existenceresultsfortheplaplacianwithnonlinearboundaryconditions |
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1807317619826491392 |