Existence and multiplicity of solutions for a class of isotropic elliptic equations with variable exponent

Ionela Loredana Stancut, Cristian Udrea

Abstract


The present paper deals with a nonhomogeneous problem involving weight and variable exponents on a bounded domain with smooth boundary in $R^N$. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces and arguments based on variational methods and a variant of the mountain pass theorem.

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