In this article, we study ordinary differential equations with p(x)-Laplacian and subject to small perturbations of nonhomogeneous Neumann conditions. We establish the existence of an unbounded sequence of weak solutions by using variational methods.
Submitted December 17, 2013. Published March 7, 2014.
Math Subject Classifications: 34B15, 34L30.
Key Words: Neumann problem; p(x)-Laplacian; variable exponent Sobolev spaces.
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| Giuseppina D'Aguì |
Department of Civil, Information Technology, Construction,
Environmental Engineering and Applied Mathematics
University of Messina, 98166 - Messina, Italy
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