| Autor: |
Boqiang Lv, Fengquan Li, Weilin Zou |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 10, Pp 1-17 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2012.1.10 |
| Popis: |
We consider the strongly nonlinear elliptic Dirichlet problem in a connected bounded domain, overdetermined with the constant Neumann condition $F(\nabla u)=c$ on the boundary. Here $F$ is convex and positively homogeneous of degree 1, and its polar $F^\ast$ represents the anisotropic norm on $\mathbb{R}^n$. We prove that, if this overdetermined boundary value problem admits a solution in a suitable weak sense, then $\Omega$ must be of Wulff shape. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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