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Ground State Solutions for Resonant Cooperative Elliptic Systems with General Superlinear Terms

Mediterranean Journal of Mathematics, ISSN: 1660-5454, Vol: 13, Issue: 5, Page: 2897-2909
2016
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  • Citations
    8
    • Citation Indexes
      8

Article Description

This paper is concerned with the following cooperative elliptic system: (Formula Presented), where U= (u, v) : Ω → R, Ω is a bounded smooth domain in R and ξ, ζ∈ R. We establish the existence of ground state solutions for this system using a much more direct approach to find a minimizing Cerami sequence for the energy functional outside the generalized Nehari manifold developed recently by Szulkin and Weth.

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