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.
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页码：6053 / 6063
页数：11
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