Abstract
We study the following singular problem involving the p(x)-Laplace operator
, where
is a nonconstant continuous function,
Here, Ω is a bounded domain in
with
-boundary, λ is a positive parameter,
are positive weight functions with compact support in Ω, and
satisfy certain hypotheses (
) and (
). We apply the Nehari manifold approach and some new techniques to establish the multiplicity of positive solutions for problem
.