Multibump solutions for quasilinear elliptic equations with critical growth

被引：13
|
作者：
Liu, Jiaquan [1 ]
Wang, Zhi-Qiang [2 ,3 ]
Wu, Xian [4 ]
机构：
[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
[4] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 12期
基金：
中国国家自然科学基金;
关键词：
CRITICAL-POINT THEORY; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; EXISTENCE;
D O I：
10.1063/1.4830027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The current paper is concerned with constructing multibump solutions for a class of quasilinear Schrodinger equations with critical growth. This extends the classical results of Coti Zelati and Rabinowitz [Commun. Pure Appl. Math. 45, 1217-1269 (1992)] for semilinear equations as well as recent work of Liu, Wang, and Guo [J. Funct. Anal. 262, 4040-4102 (2012)] for quasilinear problems with subcritical growth. The periodicity of the potentials is used to glue ground state solutions to construct multibump bound state solutions. (C) 2013 AIP Publishing LLC.
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页数：31
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