Mashiyev, R. A.Cekic, B.Avci, M.Yucedag, Z.2024-04-242024-04-2420121747-69331747-6941https://doi.org/10.1080/17476933.2011.598928https://hdl.handle.net/11468/17058We discuss the problem - div(a(x, del u)) = m(x)vertical bar u vertical bar(r(x)-2) u + n(x)vertical bar u vertical bar(s(x)-2)u in Omega, where Omega is a bounded domain with smooth boundary in R-N(N >= 2), and div(a(x, del u)) is a p(x)-Laplace type operator with 1 < r(x)< p(x)< s(x). We show the existence of infinitely many nontrivial weak solutions in W-0(1,p(x))(Omega). Our approach relies on the theory of the variable exponent Lebesgue and Sobolev spaces combined with adequate variational methods and a variation of the Mountain Pass lemma and critical point theory.eninfo:eu-repo/semantics/closedAccessP(X)-Laplace OperatorNonuniform Elliptic EquationsCritical PointMultiple SolutionsEkeland's Variational PrincipleMountain Pass TheoremArticle575579595WOS:0003050213000082-s2.0-8485962032610.1080/17476933.2011.598928Q2Q3