Publication details
Isolated singularities of positive solutions of elliptic equations with weighted gradient term
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Analysis & PDE |
| MU Faculty or unit | |
| Citation | |
| Web | https://msp.org/apde/2016/9-7/p04.xhtml |
| Doi | http://dx.doi.org/10.2140/apde.2016.9.1671 |
| Keywords | gradient terms;weak singularities;strong singularities;removability |
| Description | 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 |