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\...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2017-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6330 |