Singular solutions of a nonlinear elliptic equation in a punctured domain

We consider the following semilinear problem \begin{equation*} \begin{cases} -\Delta u(x)=a(x)u^{\sigma }(x),\text{ }x\in \Omega \backslash \{0\}\text{ (in the distributional sense),} \\ u>0,\text{ in }\Omega \backslash \{0\},\\ \underset{\left\vert x\right\vert \rightarrow 0}{\lim }\left\vert x\...

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Bibliographic Details
Main Authors: Imed Bachar, Habib Maagli, Vicenţiu Rădulescu
Format: Article
Language:English
Published: University of Szeged 2017-12-01
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=6330