Nontrivial solutions for a quasilinear elliptic system
School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China
Boundary Value Problems 2014, 2014:34 doi:10.1186/1687-2770-2014-34Published: 7 February 2014
In this paper, we deal with the existence of three nontrivial solutions for the potential system of p-Laplacian equations with homogeneous Dirichlet boundary conditions. Applying the Nehari procedure and abstract linking theorem on a product space, we give a linking structure for our variational problem, and then, combining with the classical minimax principle, we obtain three nontrivial critical values for the relevant energy functional.
MSC: 35J20, 35J25.