Autor: |
Boqiang Lv, Fengquan Li, Weilin Zou |
Jazyk: |
angličtina |
Rok vydání: |
2012 |
Předmět: |
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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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