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