Affiliation:
1. Department of Mathematics, University of Craiova200585 Craiova, Romania
Abstract
We study the boundary value problem
in
,
u
=0 on
, where
is a smooth bounded domain in
and
is a
-Laplace type operator, with
. We prove that if
λ
is large enough then there exist at least two non-negative weak solutions. Our approach relies on the variable exponent theory of generalized Lebesgue–Sobolev spaces, combined with adequate variational methods and a variant of the Mountain Pass lemma.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
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