Ground state solutions for generalized quasilinear Schrodinger equations with variable potentials and Berestycki-Lions nonlinearities

被引:22
作者
Chen, Sitong [1 ]
Tang, Xianhua [1 ]
机构
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
GORDON-MAXWELL SYSTEMS; SOLITON-SOLUTIONS; EXISTENCE; PLASMA;
D O I
10.1063/1.5036570
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By introducing some new tricks, we prove that the following generalized quasilinear Schrodinger equation -div (g(2)(u)del u) + g(u)g'(u)vertical bar del u vertical bar(2) + V(x)u = f(u), x is an element of R-N admits two classes of ground state solutions under the general "Berestycki-Lions assumptions" on the nonlinearity f which are almost necessary conditions, as well as some weak assumptions on the potential V. Moreover, we also give a minimax characterization of the ground state energy. Our results improve and complement the previous ones in the literature. Published by AIP Publishing.
引用
收藏
页数:18
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