Electron. J. Diff. Equ., Vol. 2014 (2014), No. 134, pp. 1-11.

Steklov problems involving the p(x)-Laplacian

Ghasem A. Afrouzi, Armin Hadjian, Shapour Heidarkhani

Abstract:
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.

Submitted December 26, 2013. Published June 10, 2014.
Math Subject Classifications: 35J60, 35J20.
Key Words: p(x)-Laplace operator; variable exponent Sobolev spaces; multiple solutions; variational methods.

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Ghasem A. Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Armin Hadjian
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: a.hadjian@umz.ac.ir
Shapour Heidarkhani
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: s.heidarkhani@razi.ac.ir

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