Asymmetric solutions for symmetric problems arising in Nonlinear Optics

被引：0

作者：

Cingolani, S ^{[1
]}

机构：

[1] Politecn Bari, Dip Int Matemat, I-70125 Bari, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 09期

关键词：

D O I：

10.1016/S0362-546X(01)00689-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of asymmetric positive solutions for a class of symmetric nonlinear elliptic equations in R-N, N greater than or equal to 1 has been proved by using variational arguments. In the one-dimensional case such equation is a model in Nonlinear Optics aring in the study of asymmetric guided waves in a stratified dielectric medium. In dimension N = 2 the equation is a scalar approximation of a model arising from the study of propagation of a monochromatic electric field in optical cylindrical waveguides.

引用

页码：6053 / 6063

页数：11

共 18 条

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