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.
Wulff shape characterizations in overdetermined anisotropic elliptic problems / Bianchini C.; Ciraolo G.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 43:(2018), pp. 790-820. [10.1080/03605302.2018.1475488]
Wulff shape characterizations in overdetermined anisotropic elliptic problems
Bianchini C.;
2018
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.File in questo prodotto:
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