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.
|Titolo:||Asymmetric solutions for symmetric problems arising in Nonlinear Optics|
|Data di pubblicazione:||2001|
|Nome del convegno:||3rd World Congress of Nonlinear Analysts, WCNA 2000|
|Digital Object Identifier (DOI):||10.1016/S0362-546X(01)00689-7|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|