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Research Article | Open Access

Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space

Patrizia Di Gironimo1, Salvatore Leonardi2( ), Francesco Leonetti3, Marta Macrì3, Pier Vincenzo Petricca4
Dipartimento di Matematica, Università di Salerno, 84084 Fisciano (SA), Italy
Dipartimento di Matematica e Informatica, Università degli Studi di Catania, 95131 Catania, Italy
Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, 67100 L'Aquila, Italy
Via Sant'Amasio 18, 03039 Sora, Italy
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Abstract

We prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares.

Keywords

degenerate elliptic systemMarcinkiewicz spaceexistence of solution

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Mathematics in Engineering
Volume 5 Issue 3,
June 2023
Pages 1-23
DOI: 10.3934/mine.2023055

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Cite this article:
Gironimo PD, Leonardi S, Leonetti F, et al. Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space. Mathematics in Engineering, 2023, 5(3): 1-23. https://doi.org/10.3934/mine.2023055

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Received: 12 June 2022
Revised: 22 September 2022
Accepted: 29 September 2022
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)