Cabada Fernández, AlbertoLi, ChengyueTersian, Stepan A.2020-06-062020-06-062010Cabada, 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/10.1155/2010/1953761687-1847http://hdl.handle.net/10347/22862We 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 givenengCopyright © 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 citedhttps://creativecommons.org/licenses/by/2.0Banach SpaceHamiltonian SystemDifference EquationLaplacian EquationVariational Approachjournal article10.1155/2010/195376open access