| 非线性Schrdinger方程基态解的一致集中 |
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| 引用本文： | 张平正,.非线性Schrdinger方程基态解的一致集中[J].数学学报,2008,51(1):165-170. |
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| 作者姓名： | 张平正 |
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| 作者单位： | 江苏大学数学系,镇江212013 |
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| 摘 要： | 本文讨论一类非线性Schrdinger方程-ε~2△v+V(z)v=K(x)v~p,x∈R~N,v∈W~(1,2)(R~N),v(x)>0,势函数V(x)有正下界和在无穷远处为零两种情形.通过强最大值原理我们证明方程的基态解关于充分小的ε>0一致集中.
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| 关 键 词： | 非线性Schrdinger方程 基态解 集中 |
| 文章编号： | 0583-1431（2008）01-0165-06 |
| 收稿时间： | 2006-06-25 |
| 修稿时间： | 2007-07-25 |
On Uniform Concentration of Ground States of Nonlinear Schrodinger Equations |
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| Ping Zheng ZHANG.On Uniform Concentration of Ground States of Nonlinear Schrodinger Equations[J].Acta Mathematica Sinica,2008,51(1):165-170. |
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| Authors: | Ping Zheng ZHANG |
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| Institution: | Ping Zheng ZHANG Department of Mathematics,Jiangsu University,Zhenjiang 212013,P.R.China |
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| Abstract: | This paper deals with a class of nonlinear Schrdinger equations-ε~2△v+ V(x)v=K(x)v~p,x∈R~N,v∈W~(1,2)(R~N),v(x)>0,with potential V(x)having a positive lower bound or vanishing at infinity,respectively.By the strong maximum principle we show that the ground states concentrate uniformly in smallε>0. |
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| Keywords: | Nonlinear Schrodinger equations ground states concentration |
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