Naceri Mokhtar†
Abstract: The aim of this paper is to study the existence and maximal regularity for distributional solutions of degenerate anisotropic nonlinear elliptic systems with variable exponents where the right-hand side f is in Lq() q() : (1+ ). The functional setting involves anisotropic Sobolev spaces with variable exponents as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents.
MSC: 35J60, 35J67, 35J70.
DOI 10.56082/annalsarscimath.2022.1-2.107
†nasrimokhtar@gmail.com Address: ENS of Laghouat, BP 4033 Station post avenue of Martyrs, Laghouat, Algeria. And Laboratory EDPNL-HM, ENS-Kouba, Algiers, Algeria.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 14 no 1-2, 2022
