Multiplicity of solutions for a noncooperative p-Laplacian elliptic system in RN

In this paper, we study a system of p-Laplacian elliptic equationsΔpu-|u|p-2u=Fu(|x|,u,v)inRN,-Δpv+|v|p-2v=Fv(|x|,u,v)inRN,u,v∈W1,p(RN).Applying Principle of Symmetric Criticality and a Limit Index Theory, under some assumptions on Fu,Fv, we can obtain the existence of infinitely many radial solutions and nonradial solutions for the above system, which extends some results in Li (Nonlinear Anal. TMA 25 (1995) 1371).