Ground state solution of semilinear Schrödinger system with local super-quadratic conditions
نویسندگان
چکیده
In this paper, we dedicate to studying the following semilinear Schrödinger system equation*-Δu+V1(x)u=Fu(x,u,v)amp;mboxin~RN,r-Δv+V2(x)v=Fv(x,u,v)amp;mboxin~ru,v∈H1(RN),endequation* where potential xmlns="http://www.w3.org/1998/Math/MathML">Vi are periodic in xmlns="http://www.w3.org/1998/Math/MathML">x,i=1,2, nonlinearity xmlns="http://www.w3.org/1998/Math/MathML">F is allowed super-quadratic at some xmlns="http://www.w3.org/1998/Math/MathML"> x ∈ R N and asymptotically quadratic other . Under a local condition of xmlns="http://www.w3.org/1998/Math/MathML">F, an approximation argument variational method used prove existence Nehari–Pankov type ground state solutions least energy solutions.
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2021
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2021.1.85