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- W3120448669 abstract "<p style=text-indent:20px;>We prove a rigidity result for the anisotropic Laplacian. More precisely, the domain of the problem is bounded by an unknown surface supporting a Dirichlet condition together with a Neumann-type condition which is not translation-invariant. Using a comparison argument, we show that the domain is in fact a Wulff shape. We also consider the more general case when the unknown surface is required to have its boundary on a given conical surface: in such a case, the domain of the problem is bounded by the unknown surface and by a portion of the given conical surface, which supports a homogeneous Neumann condition. We prove that the unknown surface lies on the boundary of a Wulff shape." @default.
- W3120448669 created "2021-01-18" @default.
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- W3120448669 date "2021-01-01" @default.
- W3120448669 modified "2023-09-25" @default.
- W3120448669 title "An overdetermined problem associated to the Finsler Laplacian" @default.
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- W3120448669 doi "https://doi.org/10.3934/cpaa.2021004" @default.
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