Wulff shape characterizations in overdetermined anisotropic elliptic problems

Wulff shape characterizations in overdetermined anisotropic elliptic problems
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DOI:
10.1080/03605302.2018.1475488
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发表时间:
2017-03
影响因子:
1.9
通讯作者:
C. Bianchini;Giulio Ciraolo
C. Bianchini;Giulio Ciraolo
中科院分区:
数学2区
文献类型:
--
作者:
C. Bianchini;Giulio Ciraolo

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Abstract We study some overdetermined problems for possibly anisotropic degenerate elliptic PDEs, including the well-known Serrin’s overdetermined problem, and we prove the corresponding Wulff shape characterizations by using some integral identities and just one pointwise inequality. Our techniques provide a, somehow, unified approach to this variety of problems.