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...
| Authors: | ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2001 |
| Country: | Argentina |
| Institution: | UBA-FCEN |
| Repository: | Biblioteca Digital (UBA-FCEN) |
| Language: | English |
| OAI Identifier: | paperaa:paper_0022247X_v263_n1_p195_Bonder |
| Online Access: | http://hdl.handle.net/20.500.12110/paper_0022247X_v263_n1_p195_Bonder |
| Access Level: | Open access |
| Keyword: | Nonlinear boundary conditions p-Laplacian |
| Summary: | 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. |
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