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
Hausdorff Dimension of Ruptures for Solutions of a Semilinear Elliptic Equation with Singular Nonlinearity
β Scribed by Zongming Guo; Juncheng Wei
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 179 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
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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 Γ 0 and x Γ which in the rescaled form are essentially non-analytic and, even mo