Quasi linear elliptic equations with critical growth via perturbation method

被引：145

作者：

Liu, Xiang-Qing ^{[2
]}

Liu, Jia-Quan ^{[3
]}

Wang, Zhi-Qiang ^{[1
,4
]}

机构：

[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China

[3] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[4] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 01期

关键词：

Quasilinear elliptic equations; Critical exponent; Perturbation methods; NONLINEAR SCHRODINGER-EQUATION; ARBITRARY SPACE DIMENSION; LOCAL WELL-POSEDNESS; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.jde.2012.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of quasilinear Schrodinger equations which include the Modified Nonlinear Schrodinger Equations. A new perturbation approach is used to treat the critical exponent case giving new existence results. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：102 / 124

页数：23

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