# Masaryk University

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# Isolated singularities of positive solutions of elliptic equations with weighted gradient term

Authors 2016 Article in Periodical Analysis & PDE https://msp.org/apde/2016/9-7/p04.xhtml http://dx.doi.org/10.2140/apde.2016.9.1671 gradient terms;weak singularities;strong singularities;removability Let $\Omega \subset \mathbb{R}^N$ ($N>2$) be a $C^2$ bounded domain containing the origin $0$. We study the behavior near $0$ of positive solutions of equation (E) $-\Delta u + |x|^\alpha u^p + |x|^\beta |\nabla u|^q= 0$ in $\Omega \setminus \{0\}$ where $\alpha>-2$, $\beta>-1$, $p>1$ and $q>1$. When \$1