Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616827 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
In this paper we consider the following class of quasilinear elliptic problems: âdiv(a(x,âu))=λh(x)exp(α0|u|nnâ1)+f(x,u)inΩ, with the Dirichlet boundary condition where ΩâRn(nâ¥2) is a smooth bounded domain and λ>0 is a positive parameter. We assume that there exists A:ΩÃRnâR such that a=âA satisfies some mild conditions, h(x) and f(x,s) are mensurable functions and f(x,s) can enjoy exponential critical growth. The approach relies on a fixed point theorem and the Trudinger-Moser inequality.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Manassés de Souza, Everaldo de Medeiros, Uberlandio Severo,