On Homoclinic Solutions of a Semilinear -Laplacian Difference Equation with Periodic Coefficients

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URI: http://hdl.handle.net/10347/22862
ISSN: 1687-1847
DOI: 10.1155/2010/195376

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2010

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SpringerOpen
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Abstract

We study the existence of homoclinic solutions for semilinear -Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezis-Nirenberg's Mountain Pass Theorem. Several examples and remarks are given

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Banach Space| Hamiltonian System| Difference Equation| Laplacian Equation| Variational Approach

Bibliographic citation

Cabada, A., Li, C. & Tersian, S. On Homoclinic Solutions of a Semilinear -Laplacian Difference Equation with Periodic Coefficients. Adv Differ Equ 2010, 195376 (2010). https://doi.org/10.1155/2010/195376

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A. Cabada partially supported by Ministerio de Educacion y Ciencia, Spain, project MTM2007-61724

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Copyright © 2010 Alberto Cabada et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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