In this note we study the limit as p (x) → ∞ of solutions to - Δp (x) u = 0 in a domain Ω, 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. © 2009 Elsevier Ltd. All rights reserved.
|Original language||English (US)|
|Number of pages||7|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Jan 1 2010|
ASJC Scopus subject areas
- Applied Mathematics