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arXiv · 1703.07111

Wulff shape characterizations in overdetermined anisotropic elliptic problems

Chiara 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.

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Chiara Bianchini, Giulio Ciraolo. 2017-03-21. Wulff shape characterizations in overdetermined anisotropic elliptic problems. https://arxiv.org/abs/1703.07111

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