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.
Asymmetric solutions for symmetric problems arising in Nonlinear Optics / Cingolani, Silvia. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 47:9(2001), pp. 6053-6063. (Intervento presentato al convegno 3rd World Congress of Nonlinear Analysts, WCNA 2000 tenutosi a Catania, Italy nel July 19-26, 2000) [10.1016/S0362-546X(01)00689-7].
Asymmetric solutions for symmetric problems arising in Nonlinear Optics
Silvia Cingolani
2001-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
