| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842363 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
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.
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Authors
J.J. Manfredi, J.D. Rossi, J.M. Urbano,