Wulff shape characterizations in overdetermined anisotropic elliptic problems
classification
🧮 math.AP
keywords
overdeterminedproblemsanisotropiccharacterizationsellipticshapesomewulff
read the original 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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