In this paper, we are concerned with the existence and multiplicity of nontrivial solutions of a class of nonlinear Schrodinger equations which arise from nonlinear optics. We prove that there are two families of semiclassical positive solutions, which concentrate on the minimal and maximum points of the associated potentials, respectively. We also investigate the relationship between the number of solutions and the topology of the set of the global minima of the potentials by the minimax theorem. The novelty is that it might be the first attempt to explore multiplicity and concentration of positive solutions for such kind of coupled Schrodinger equations.
机构:
Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R ChinaYunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China
Yang, Zhipeng
Zhao, Fukun
论文数: 0引用数: 0
h-index: 0
机构:
Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R ChinaYunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China
Zhao, Fukun
Zhao, Shunneng
论文数: 0引用数: 0
h-index: 0
机构:
Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaYunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China
机构:
Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
Huang, Chen
Jia, Gao
论文数: 0引用数: 0
h-index: 0
机构:
Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
机构:
Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R ChinaGuizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China