Maximal solutions for $-\Delta u+u^q=0$ in open or finely open sets
Analysis of PDEs
2008-12-19 v3
Abstract
We study the existence and uniqueness of new classes of solutions of the superlinear equation (q>1) in a domain of R^N or in a finely open set for the topology associated to the Bessel capacity C_{2,q'}. Condition of existence or uniqueness of solutions with boundary blow-up are obtained generalizing the results of Dhersin-Le Gall and of Labutin.
Cite
@article{arxiv.0810.1667,
title = {Maximal solutions for $-\Delta u+u^q=0$ in open or finely open sets},
author = {Moshe Marcus and Laurent Veron},
journal= {arXiv preprint arXiv:0810.1667},
year = {2008}
}
Comments
A para\^itre au Journal de Math\'ematiques Pures et Appliqu\'ees