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Existence of Solutions for a Class of p(x)-Kirchhoff Type Equation with Dependence on the Gradient
Lapa, Eugenio Cabanillas,Barros, Juan Benito Bernui,de la Cruz Marcacuzco, Rocio Julieta,Segura, Zacarias Huaringa Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
The object of this work is to study the existence of solutions for a class of p(x)-Kirchhoff type problem under no-flux boundary conditions with dependence on the gradient. We establish our results by using the degree theory for operators of ($S_+$) type in the framework of variable exponent Sobolev spaces.