Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction

In the present paper, we study the existence of nonnegative solutions to the Dirichlet problem ℒp,qM⁢u:=-Δ⁢u+up-M⁢|∇⁡u|q=μ{{\mathcal{L}}^{{M}}_{p,q}u:=-\Delta u+u^{p}-M|\nabla u|^{q}=\mu} in a domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} where μ is a nonnegative Radon measure, when p>1{p>1}, q>...

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Bibliographic Details
Main Authors: Bidaut-Véron Marie-Françoise, Garcia-Huidobro Marta, Véron Laurent
Format: Article
Language:English
Published: De Gruyter 2021-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2021-2124