We study a symmetric semilinear elliptic problem in all R-N and we prove existence of an asymmetric positive solution by using variational arguments. The corresponding problem in dimension N = 2,which provides the motivation of this work, arises in Nonlinear Optics from the study of the behaviour of optical cylindrical waveguides.
Asymmetric positive solutions for a symmetric nonlinear problem in R-N / Cingolani, Silvia; Luis Gámez, José. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 11:1(2000), pp. 97-117. [10.1007/s005260050004]
Asymmetric positive solutions for a symmetric nonlinear problem in R-N
Silvia Cingolani;
2000-01-01
Abstract
We study a symmetric semilinear elliptic problem in all R-N and we prove existence of an asymmetric positive solution by using variational arguments. The corresponding problem in dimension N = 2,which provides the motivation of this work, arises in Nonlinear Optics from the study of the behaviour of optical cylindrical waveguides.File in questo prodotto:
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