Solutions of Ginzburg-Landau-Type Equations Involving Variable Exponent

Mustafa Avci

Abstract

In this article, we are interested in some class of Ginzburg-Landau-type equations involving variable exponent under the homogenous Dirichlet boundary conditions and settled in Musielak-Sobolev spaces. We look for nontrivial weak solutions, that is,critical points of the corresponding Ginzburg-Landau energy functional.