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On a 1-capacitary type problem in the plane
On positive solution to a second order elliptic equation with a singular nonlinearity
| 1. | Department of Applied Mathematics, Bauman Moscow State Technical University, 2-aya Baumanskaya, 5, 105005 Moscow, Russian Federation |
$ (a_{ij}(x)u_{x_i})_{x_j}+p(x)|x|^su^{-\sigma}=0, x\in\Omega \setminus \{ O\}, $
where $\sigma >0$, $s$ is any real number, and
$\Omega\subset R^n$, $n\ge 3$ is a bounded domain, which
contains the origin $O$.
The aim of this paper is to establish existence, nonexistence and
behavior of positive weak solutions near the isolated singularity
$O$.
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