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

Authors :
Patrizia Di Gironimo
Salvatore Leonardi
Francesco Leonetti
Marta Macrì
Pier Vincenzo Petricca
Source :
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-23 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

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.

Details

Language :
English
ISSN :
26403501
Volume :
5
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Mathematics in Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.9b9cf3e25a545aba57172e8a4b075ba
Document Type :
article
Full Text :
https://doi.org/10.3934/mine.2023055?viewType=HTML