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- W2891602159 abstract "Abstract We consider an overdetermined problem associated to an inhomogeneous infinity-Laplace equation. More precisely, the domain of the problem is required to contain a given compact set K of positive reach, and the boundary of the domain must lie within the reach of K . We look for a solution vanishing at the boundary and such that the outer derivative depends only on the distance from K . We prove that if the boundary gradient grows fast enough with respect to such distance (faster than the distance raised to {frac{1}{3}} ), then the problem is solvable if and only if the domain is a tubular neighborhood of K , thus extending a previous result valid in the case when K is made up of a single point." @default.
- W2891602159 created "2018-09-27" @default.
- W2891602159 creator A5068254592 @default.
- W2891602159 date "2019-01-01" @default.
- W2891602159 modified "2023-09-26" @default.
- W2891602159 title "An overdetermined problem for the infinity-Laplacian around a set of positive reach" @default.
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- W2891602159 doi "https://doi.org/10.1515/anly-2017-0030" @default.
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