Keller-Osserman estimates for some quasilinear elliptic systems
Analysis of PDEs
2013-08-27 v2
Abstract
In this article we study quasilinear multipower systems of two equations of two types, in a domain of R^{N} : with absorption terms, or mixed terms. Despite of the lack of comparison principle, we prove a priori estimates of Keller-Osserman type. Concerning the mixed system, we show that one of the solutions always satisfies Harnack inequality. In the case =B(0,1)\{0}, we also study the behaviour near 0 of the solutions of more general weighted systems, giving a priori estimates and removability results. Finally we prove the sharpness of the results.
Cite
@article{arxiv.1102.2564,
title = {Keller-Osserman estimates for some quasilinear elliptic systems},
author = {Marie-Françoise Bidaut-Véron and Marta Garcia-Huidobro and Cecilia Yarur},
journal= {arXiv preprint arXiv:1102.2564},
year = {2013}
}