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Licensed Unlicensed Requires Authentication Published by De Gruyter May 31, 2010

A curious equation involving the ∞-Laplacian

  • Peter Lindqvist and Teemu Lukkari

Abstract

We prove the uniqueness of viscosity solutions to a differential equation involving the infinity-Laplacian with a variable exponent. We also derive a version of Harnack's inequality for this minimax problem.

Received: 2009-03-21
Accepted: 2010-02-16
Published Online: 2010-05-31
Published in Print: 2010-October

© de Gruyter 2010

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