Semi-classical limit for radial non-linear Schrodinger equation

被引：5

作者：

Castro, R

Felmer, PL

机构：

[1] Univ Chile, CNRS UChile, UMR2071, Dept Ingn Matemat, Santiago, Chile

[2] Univ Chile, CNRS UChile, UMR2071, Ctr Modelamiento Matemat, Santiago, Chile

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 256卷 / 02期

关键词：

D O I：

10.1007/s00220-005-1320-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the nonlinear Schrodinger equation epsilon(2)Delta u - V (x) u + | u|(p-1) u = 0, x is an element of R-N, with superlinear and subcritical nonlinearity. Assuming that the potential is radially symmetric we find radial sign-changing solutions of the equation that concentrate in a ball, as the parameter e goes to zero. We study the asymptotic profile of these highly oscillatory solutions, completely characterizing their behavior by means of an envelope function.

引用

页码：411 / 435

页数：25

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