Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 1, Pages 309-315Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.06.054
Keywords
p(x)-Laplacian; Infinity Laplacian; Variable exponents; Viscosity solutions
Categories
Funding
- MEC, Spain [MTM2004-02223]
- CONICET, Argentina [UBA X066]
- CMUC/FCT
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In this note we study the limit as p(x) -> infinity of solutions to -Delta(p(x))u = 0 in a domain Omega, with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to +infinity and analyzing how the corresponding solutions of the problem converge and which equation is satisfied by the limit. (C) 2009 Elsevier Ltd. All rights reserved.
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