| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398549 |
| ISSN: | 0037-8712 |
| Authors: | Moussa, Mohammed1 |
| Institutions: | 1Universite Ibn Tofail, Departement de Mathematiques, Kenitra. Marruecos |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 1 |
| Pages: | 49-53 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | It is well known that the Schwarz symmetrization decrease the energy for the p-Laplacian operator, i.e Z Ω |∇u| p dx ≥ Z Ω ⋆ |∇u ⋆ | p dx. where u ⋆ is the Schwarz rearranged function of u, for appropriate u and Ω. In this note, we shall proof that the Schwarz rearrangement does not decrease the energy for the pseudo p-Laplacian operator, that is, there exist a bounded domain Ω ⊂ RN and a function u ∈ W1,p 0 (Ω) such that Z Ω⋆ Xn i=1 ∂u⋆ ∂xi p dx ≥ Z Ω Xn i=1 ∂u ∂xi p dx |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Análisis funcional, Ecuaciones diferenciales parciales, Simetrización, Simetrización de Schwarz |
| Keyword: | Mathematics, Pure mathematics, Functional analysis, Partial differential equations, Symmetrization, Schwarz symmetrization |
| Full text: | Texto completo (Ver PDF) |
