期刊
APPLICABLE ANALYSIS
卷 98, 期 10, 页码 1785-1798出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2018.1460819
关键词
Symmetry; overdetermined boundary problems; Serrin's overdetermination; p-Laplacian; p-capacitary potential
资金
- Gruppo Nazionale Analisi Matematica Probabilita e Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)
We prove symmetry for the p-capacitary potential satisfying under Serrin's overdetermined condition Here is star-shaped. Our proof uses the maximum principle for an appropriate P-function, some integral identities, the isoperimetric inequality, and a Soap Bubble-type Theorem. We then treat the case , improving previous results present in the literature. Finally, with analogous tools, we give a new proof of symmetry for the interior overdetermined problem
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