Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
1 College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, P.R. China
2 College of Science, Hunan University of Technology, Zhuzhou, Hunan, 412000, P.R. China
Boundary Value Problems 2013, 2013:137 doi:10.1186/1687-2770-2013-137Published: 24 May 2013
By applying the mountain pass theorem and symmetric mountain pass theorem in critical point theory, the existence of at least one or infinitely many homoclinic solutions is obtained for the following p-Laplacian system:
MSC: 34C37, 35A15, 37J45, 47J30.