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A curious equation involving the ∞-Laplacian
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Published/Copyright:
May 31, 2010
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
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Keywords for this article
Infinity-Laplacian;
variable exponent;
viscosity solution;
comparison principle;
Harnack's inequality;
Caccioppoli estimate
Articles in the same Issue
- Homogenization of fiber reinforced brittle materials: the intermediate case
- On the area of the graph of a singular map from the plane to the plane taking three values
- On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals
- A curious equation involving the ∞-Laplacian
- Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint
