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Measure data problems for a class of elliptic equations with mixed absorption-reaction

Abstract : We study the existence of nonnegative solutions to the Dirichlet problem L M p,q u := −∆u+u p −M |∇u| q = µ in a domain Ω ⊂ R N where µ is a nonnegative Radon measure, when p > 1, q > 1 and M ≥ 0. We also give conditions under which nonnegative solutions of L M p,q u = 0 in Ω \ K where K is a compact subset of Ω can be extended as a solution of the same equation in Ω.
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https://hal.archives-ouvertes.fr/hal-03147340
Contributor : Laurent Veron <>
Submitted on : Monday, February 22, 2021 - 10:42:30 AM
Last modification on : Wednesday, February 24, 2021 - 3:19:01 AM

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  • HAL Id : hal-03147340, version 1

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Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron. Measure data problems for a class of elliptic equations with mixed absorption-reaction. 2021. ⟨hal-03147340⟩

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