Boundary singularities of positive solutions of some nonlinear elliptic equations
Analysis of PDEs
2007-05-23 v2 Classical Analysis and ODEs
Abstract
We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a. Our results are based upon a priori estimates for solutions and existence or non existence and uniqueness results for solutions of some nonlinear elliptic equations on the half unit sphere.
Keywords
Cite
@article{arxiv.math/0611123,
title = {Boundary singularities of positive solutions of some nonlinear elliptic equations},
author = {Marie-Francoise Bidaut-Veron and Augusto Ponce and Laurent Veron},
journal= {arXiv preprint arXiv:math/0611123},
year = {2007}
}
Comments
6 pages