Ground State Solutions for a Quasilinear Schrodinger Equation

被引：12
作者：
Zhang, Jian [1 ]
Lin, Xiaoyan [2 ]
Tang, Xianhua [3 ]
机构：
[1] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China
[2] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China
[3] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期
关键词：
Quasilinear Schrodinger equation; superlinear; ground state solution; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; SEMICLASSICAL STATES; MULTIPLE SOLUTIONS; EXISTENCE;
D O I：
10.1007/s00009-016-0816-3
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 of the form -Delta u + V(x)u - Delta(u(2))u = g(x, u), x is an element of R-N where V and g are 1-periodic in x(1), ..., x(N), and g is a superlinear but subcritical growth as vertical bar u vertical bar -> infinity. We develop a more direct and simpler approach to prove the existence of ground state solutions.
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页数：13
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