Existence of nontrivial solutions for perturbed p-Laplacian system involving critical nonlinearity and magnetic fields
Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, People’s Republic of China
Boundary Value Problems 2013, 2013:11 doi:10.1186/1687-2770-2013-11Published: 24 January 2013
Under the suitable assumptions, we establish the existence of nontrivial solutions for a perturbed p-Laplacian system in with critical nonlinearity and magnetic fields by using the variational method.
MSC: 35B33, 35J60, 35J65.