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    Existence of solutions for an elliptic equation with nonstandard growth
    (2013) Avcı, M.; Mashiyev, Rabil Ayazoğlu; Çekiç, Bilal
    This 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.