On nonlinear fractional Schrodinger equations with indefinite and Hardy potentials

被引:1
作者
Mi, Heilong [1 ]
Zhang, Wen [1 ,2 ,3 ]
Liao, Fangfang [4 ]
机构
[1] Hunan Univ Technol & Business, Coll Sci, Changsha 410205, Hunan, Peoples R China
[2] Key Lab Hunan Prov Stat Learning & Intelligent Co, Changsha 410205, Hunan, Peoples R China
[3] Xiangnan Univ, Sch Math & Informat, Chenzhou 423000, Hunan, Peoples R China
[4] Univ Craiova, Dept Math, Craiova 200585, Romania
关键词
Fractional Schrodinger equation; Hardy potential; Strongly indefinite functional; Ground state solutions; HAMILTONIAN ELLIPTIC SYSTEM; GROUND-STATE SOLUTIONS; CRITICAL EXPONENTS; CHOQUARD EQUATION; OPERATORS; INVERSE;
D O I
10.3233/ASY-221793
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a class of fractional Schrodinger equation with Hardy potential [GRAPHICS] where s is an element of(0, 1) and kappa >= 0 is a parameter. Under some suitable conditions on the potential V and the nonlinearity f, we prove the existence of ground state solutions when the parameter. lies in a given range by using the non-Nehari manifold method. Moreover, we investigate the continuous dependence of ground state energy about.. Finally, we are able to explore the asymptotic behavior of ground state solutions when. tends to 0.
引用
收藏
页码:305 / 330
页数:26
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