Bound states to critical quasilinear Schrodinger equations

被引：70
作者：
Wang, Youjun [1 ]
Zou, Wenming [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2012年 / 19卷 / 01期
关键词：
SOLITON-SOLUTIONS; SEMICLASSICAL STATES; ELLIPTIC PROBLEMS; STANDING WAVES; EXISTENCE;
D O I：
10.1007/s00030-011-0116-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the critical quasilinear Schrodinger equations of the form -epsilon(2)Delta u + V (x)u - epsilon(2) [Delta(u(2))] u = |u|(2)(2*)(-2) u + g(u), x is an element of R-N where N >= 3, 2* := 2N/(N - 2) and g(u) is of subcritical growth. We prove the existence of positive bound states which concentrate around a local minimum point of V as epsilon -> 0(+).
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页码：19 / 47
页数：29
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