| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000394633 |
| ISSN: | 0037-8712 |
| Authors: | Anane, Aomar1 Chakrone, Omar1 Karim, Belhadj1 Zerouali, Abdellah1 |
| Institutions: | 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos |
| Year: | 2009 |
| Volumen: | 27 |
| Number: | 1 |
| Pages: | 85-90 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | In this paper, we prove the existence of weak solutions to the problem △pu = 0 in Ω and |∇u| p−2 ∂u ∂ν = λ1m(x)|u| p−2u + f(x, u) − h on ∂Ω, where Ω is a bounded domain in RN (N ≥ 2), m ∈ Lq (∂Ω) is a weight, λ1 is the first positive eigenvalue for the eigenvalue Steklov problem △pu = 0 in Ω and |∇u| p−2 ∂u ∂ν = λm(x)|u| p−2u on ∂Ω. f and h are functions that satisfy some conditions |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Problema de Steklov, Problemas elípticos, Análisis no lineal, Ecuaciones diferenciales parciales, Problema de Dirichlet |
| Keyword: | Mathematics, Pure mathematics, Steklov problem, Elliptic problems, Nonlinear analysis, Partial differential equations, Dirichlet problem |
| Full text: | Texto completo (Ver PDF) |
