| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398546 |
| ISSN: | 0037-8712 |
| Authors: | Anane, Aomar1 Chakrone, Omar1 Moradi, Najat1 |
| Institutions: | 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 1 |
| Pages: | 17-23 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | In this paper we study the regularity of the solutions to the problem ∆pu = |u| p−2u in the bounded smooth domain Ω ⊂ RN , with |∇u| p−2 ∂u ∂ν = λV (x)|u| p−2u+h as a nonlinear boundary condition, where ∂Ω is C2,β with β ∈]0, 1[, and V is a weight in Ls (∂Ω) and h ∈ Ls (∂Ω) for some s ≥ 1. We prove that all solutions are in L∞(∂Ω) T L∞(Ω), and using the D.Debenedetto’s theorem of regularity in [1] we conclude that those solutions are in C1,α Ω for some α ∈[0, 1] |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Análisis funcional, Análisis no lineal, Ecuaciones elípticas, Regularidad |
| Keyword: | Mathematics, Pure mathematics, Functional analysis, Nonlinear analysis, Elliptic equations, Regularity |
| Full text: | Texto completo (Ver PDF) |
