Nehari‐Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations

Xiaoyan Lin and X. H. Tang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We deal with the existence of Nehari‐type ground state positive solutions for the nonlinear Schrödinger equation -Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari‐type ground state solutions by using a more direct method in two cases: the periodic case and the asymptotically periodic case.

Date: 2014
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https://doi.org/10.1155/2014/607078

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:607078

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