Existence of solutions for the p(x) -laplacian problem with singular term

Abstract

We study the following p (x) -Laplacian problem with singular term: - div (|u|p(x)-2u) + |u|p(x)-2 u =|u|a(x)-2u + f (x, u), x ε ω, u = 0, x ε Δω, where ωRN is a bounded domain, 1 < p- ≤ p (x) ≤ p+ N. We obtain the existence of solutions in W01, p (x) (ω). © 2010 F. Yongqiang and Y. Mei.