# Overdetermined boundary value problems for the $\infty$-Laplacian

Buttazzo, G. and Kawohl, B. (2009) Overdetermined boundary value problems for the $\infty$-Laplacian. arXiv .

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## Abstract

SUMMARY We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have. The classical $\infty$-Laplacian, the normalized or game-theoretic $\infty$-Laplacian and the limit of the $p$-Laplacian as $p\to \infty$ are considered and provide different answers.

Item Type: Article Imported from arXiv Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA dott.ssa Sandra Faita 05 Aug 2013 12:46 05 Aug 2013 12:46 http://eprints.adm.unipi.it/id/eprint/1328

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