Keller-Osserman estimates for some quasilinear elliptic systems

Details Keller-Osserman estimates for some quasilinear elliptic systems Keller-Osserman estimates for some quasilinear elliptic systems

2011-02-13

arxiv.org/abs/1102.2564v1

Mathematics

Analysis of PDEs

Scientific paper

In this article we study quasilinear multipower systems of two equations of two types, in a domain \Omega 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 \Omega=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.

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