In this paper we prove existence (and summability properties) of solutions for the following elliptic system (Formular Presented) under some assumptions on λ > 0, ρ > 0 and f(x) in Lm(Ω), m ≥ 1.

ELLIPTIC SYSTEMS WITH NONLINEAR DIFFUSION AND A CONVECTION TERM / Boccardo, L.; Orsina, L.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 43:3-4(2023), pp. 1052-1069. [10.3934/dcds.2022056]

ELLIPTIC SYSTEMS WITH NONLINEAR DIFFUSION AND A CONVECTION TERM

Boccardo L.;Orsina L.
2023

Abstract

In this paper we prove existence (and summability properties) of solutions for the following elliptic system (Formular Presented) under some assumptions on λ > 0, ρ > 0 and f(x) in Lm(Ω), m ≥ 1.
2023
convection equations; diffusion equations; elliptic systems; entropy solutions; nonlinear equations
01 Pubblicazione su rivista::01a Articolo in rivista
ELLIPTIC SYSTEMS WITH NONLINEAR DIFFUSION AND A CONVECTION TERM / Boccardo, L.; Orsina, L.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 43:3-4(2023), pp. 1052-1069. [10.3934/dcds.2022056]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1739256
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