Title of article
Limits as image of image-harmonic functions Original Research Article
Author/Authors
J.J. Manfredi، نويسنده , , J.D. Rossi، نويسنده , , J.M. Urbano-Blanco، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
309
To page
315
Abstract
In this note we study the limit as p(x)→∞p(x)→∞ of solutions to −Δp(x)u=0−Δp(x)u=0 in a domain ΩΩ, with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to +∞+∞ and analyzing how the corresponding solutions of the problem converge and which equation is satisfied by the limit.
Keywords
Variable exponents , Infinity Laplacian , p(x)p(x)-Laplacian , Viscosity solutions
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862090
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