Asymmetric positive solutions for a symmetric nonlinear problem in {\mathbb R}^N |
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| Authors: | Silvia Cingolani José Luis Gámez |
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| Institution: | (1) Dipartimento Interuniversitario di Matematica, Politecnico di Bari, Via E. Orabona 4, 70125-Bari, Italy (e-mail: cingolan@pascal.dm.uniba.it) , IT;(2) Departamento de Análisis Matemático, Universidad de Granada, E-18071-Granada, Spain (e-mail: jlgamez@goliat.ugr.es) , ES |
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| Abstract: | We study a symmetric semilinear elliptic problem in all 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.
Received September 28, 1999/ Accepted January 14, 2000 / Published online June 28, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35J20 35J60 35Q55 35Q60 |
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