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An overdetermined problem of anisotropic equations in convex cones

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Abstract In this paper, we study some overdetermined boundary value problems for anisotropic elliptic PDEs in a bounded domain Ω in a convex cone of R n . By using… Click to show full abstract

Abstract In this paper, we study some overdetermined boundary value problems for anisotropic elliptic PDEs in a bounded domain Ω in a convex cone of R n . By using some integral identities and maximum principle, we prove the corresponding Wulff shape characterizations, which includes the classical Serrin's overdetermined boundary value problem.

Keywords: anisotropic equations; overdetermined problem; problem anisotropic; equations convex; convex cones; problem

Journal Title: Journal of Differential Equations
Year Published: 2020

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