Asymptotic behavior of positive large solutions of semilinear Dirichlet problems

Let $\Omega $ be a smooth bounded domain in $\mathbb{R}^{n},\ n\geq 2$. This paper deals with the existence and the asymptotic behavior of positive solutions of the following problems \begin{equation*} \Delta u=a(x)u^{\alpha },\alpha >1\text{ and }\Delta u=a(x)e^{u}, \end{equation*} with the boun...

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Bibliographic Details
Main Authors: Habib Maagli, Sonia Ben Othman, Rym Chemmam
Format: Article
Language:English
Published: University of Szeged 2013-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2512