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Singularities for a 2-Dimensional Semilinear Elliptic Equation with a Non-Lipschitz Nonlinearity

✍ Scribed by Marie-Francoise Bidaut-Véron; Victor Galaktionov; Philippe Grillot; Laurent Véron

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
186 KB
Volume
154
Category
Article
ISSN
0022-0396

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✦ Synopsis

We study the limit behaviour of solutions of the semilinear elliptic equation

with a non-Lipschitz nonlinearity on the right-hand side. When |_+2| 2 we give a complete classification of the types of singularities as x Ä 0 and x Ä which in the rescaled form are essentially non-analytic and, even more, not C . The proof is based on the asymptotic study of the corresponding evolution dynamical system and the Sturmian argument on zero set analysis.

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