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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.
Keywords.: Infinity-Laplacian; variable exponent; viscosity solution; comparison principle; Harnack's inequality; Caccioppoli estimate
Received: 2009-03-21
Accepted: 2010-02-16
Published Online: 2010-05-31
Published in Print: 2010-October
© de Gruyter 2010