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 mo
Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity
✍ Scribed by Jérôme Busca; Alexander Quaas
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 128 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We study the possible asymptotic behavior of u near an isolated rupture point for the following nonlinear equation with non-Lipschitz nonlinearity: where B = {x E R 2 : Ix[ < 1}, 0 < q < 1. Under some conditions, the asymptotic behavior of u at zero is characterized. As a result, we obtain the uniq
such problems goes back to B. RIEMANN in 1851. So A. I. GUSEINOV [251, V. K. NATALEVIC [39], [40], B. I. GEKHT [24] and others (cf. the recent monograph [26] of GUSEINOV and MUKHTAROV) applied iteration methods to these problems, whereas IT, POGORZELSKI in his monograph [C2], Chap. 19, 8 5 and other