Infinitely many solutions of quasilinear Schrodinger equation with sign-changing potential

被引：82
作者：
Zhang, Jian [1 ]
Tang, Xianhua [1 ]
Zhang, Wen [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 420卷 / 02期
关键词：
Quasilinear Schrodinger; Sign-changing potential; Dual approach; Mountain Pass Theorem; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; R-N; SEMICLASSICAL STATES; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; CRITICAL GROWTH; PERTURBATION METHOD; GROUND-STATES; EXISTENCE;
D O I：
10.1016/j.jmaa.2014.06.055
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 the potential V(x) is allowed to be sign-changing, and the primitive of the nonlinearity g(x, u) is of superlinear growth at infinity in u and is also allowed to be sign-changing. We obtain the existence of infinitely many nontrivial solutions by using dual approach and Mountain Pass Theorem. (C) 2014 Elsevier Inc. All rights reserved.
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页码：1762 / 1775
页数：14
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