Avcı, M.Mashiyev, Rabil AyazoğluÇekiç, Bilal2024-04-242024-04-242013Avcı, M., Mashiyev, R. A. ve Çekiç, B. (2013). Existence of solutions for an elliptic equation with nonstandard growth. International Journal of Pure and Applied Mathematics, 86(1), 131-139.1311-8080https://doi.org/10.12732/ijpam.v86i1.10https://hdl.handle.net/11468/23599This 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.eninfo:eu-repo/semantics/openAccessEkeland variational principleMountain pass theoremP(X)-laplace operatorVariable exponent sobolev spacesVariational methodArticle8611311392-s2.0-8488028621210.12732/ijpam.v86i1.10N/A