Singular solutions of some quasilinear elliptic equations |
| |
Authors: | Avner Friedman Laurent Véron |
| |
Institution: | (1) Purdue University, Lafayette, Indiana;(2) Université de Tours, France |
| |
Abstract: | We study isolated singularities of the quasilinear equation
in an open set of
N
, where 1 < p N, p -1 q < N(p — 1)/ (N -p). We prove that, for any positive solution, if a singularity at the origin is not removable then either
or u(x)/ (x) any positive constant as x 0 where is the fundamental solution of the p-harmonic equation:
. Global positive solutions are also classified. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|