Existence results of nontrivial solutions for a new $ p(x) $-biharmonic problem with weight function

Abstract

<abstract><p>In this paper, we study a class of $ p(x) $-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions for our problem when the nonlinear term is a general function.</p></abstract>