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Pré-Publication, Document De Travail Année : 2011

Keller-Osserman estimates for some quasilinear elliptic systems

Résumé

In this article we study quasilinear multipower systems of two equations of two types, in a domain Ω 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 Ω=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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Dates et versions

hal-00565280 , version 1 (11-02-2011)
hal-00565280 , version 2 (26-08-2013)

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Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Cecilia Yarur. Keller-Osserman estimates for some quasilinear elliptic systems. 2011. ⟨hal-00565280v1⟩
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