ISSN:
1432-0835
Keywords:
Mathematics Subject Classification (1991): 35J20, 35J60, 35Q55, 35Q60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. We study a symmetric semilinear elliptic problem in all ${\mathbb R}^N$ 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s005260050004
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