Abstract
In this paper, we are interested in the existence of multiple weak solutions of the following fourth-order nonlinear elliptic problem with a -biharmonic operator
where
is a bounded domain,
is the operator of fourth order called the
-biharmonic operator,
and
,
are non-negative weight functions with compact support in Ω. Our analysis mainly relies on variational arguments and some recent theory on the generalized Lebesgue–Sobolev spaces
and
.
Disclosure statement
No potential conflict of interest was reported by the authors.