Avci M.Mashiyev R.A.Cekic B.20.04.20192019-04-2020.04.20192019-04-2020131311-8080https://dx.doi.org/10.12732/ijpam.v86i1.10https://hdl.handle.net/20.500.12403/855This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions. © 2013 Academic Publications, Ltd.eninfo:eu-repo/semantics/openAccessEkeland variational principleMountain pass theoremP(x)-Laplace operatorVariable exponent Sobolev spacesVariational methodEkeland variational principleMountain pass theoremP(x)-Laplace operatorVariable exponent Sobolev spacesVariational methodArticle86113113910.12732/ijpam.v86i1.102-s2.0-84880286212Q1