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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 Connect in order to contact the contributor
Submitted on : Wednesday, March 3, 2021 - 12:15:52 PM
Last modification on : Friday, April 1, 2022 - 3:46:35 AM

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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. Advanced Nonlinear Studies, Walter de Gruyter GmbH, 2021, 21 (2), pp.261-280. ⟨hal-03147340v2⟩

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