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

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

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.

Bibliographic Details
Main Authors: Patrizia Di Gironimo, Salvatore Leonardi, Francesco Leonetti, Marta Macrì, Pier Vincenzo Petricca
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:Mathematics in Engineering
Subjects:
degenerate elliptic system
marcinkiewicz space
existence of solution
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023055?viewType=HTML

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