Positive solutions for a class of quasilinear Schrodinger equations with vanishing potentials

被引：1
|
作者：
Liu, Xiaonan [1 ]
Chen, Haibo [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2017年
关键词：
quasilinear Schrodinger equation; positive solution; vanishing potentials; variational method; MULTIPLE SOLUTIONS; SOLITON-SOLUTIONS; POISSON SYSTEM; CRITICAL GROWTH; R-N; EXISTENCE; SIGN; NONLINEARITY; PARAMETER; EXPONENT;
D O I：
10.1186/s13661-017-0769-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following quasilinear Schrodinger equation: -Delta u + V( x) u - Delta ( u(2)) u = K( x) g( u) inR(N), where N >= 3, V is a nonnegative continuous function, which can vanish at infinity, and g is a continuous function with a quasicritical growth. Under some appropriate conditions, we get the existence of a positive solution by combining the variational method with a Hardy-type inequality.
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页数：11
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