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

By Daiwen Huang, Yongqing Li. 2005

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In this paper, we study a system of p-Laplacian elliptic equations Δpu-|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).

Subfields: Applied Mathematics, Computational Theory and Mathematics

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