Keller-Osserman estimates for some quasilinear elliptic systems

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00565280
Contributor : Marie-Françoise Bidaut-Véron <>
Submitted on : Friday, February 11, 2011 - 3:23:31 PM
Last modification on : Tuesday, August 13, 2019 - 2:30:11 PM
Long-term archiving on : Thursday, May 12, 2011 - 2:48:28 AM

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  • HAL Id : hal-00565280, version 1
  • ARXIV : 1102.2564

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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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