Existence and regularity of solutions to unilateral nonlinear elliptic equation in Marcinkiewicz space with variable exponent-Reference-Cited by-同舟云学术

Existence and regularity of solutions to unilateral nonlinear elliptic equation in Marcinkiewicz space with variable exponent

Published:2023 Issue:17 Volume:37 Page:5785-5797
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aharrouch Benali¹,Aberqi Ahmed²,Bennouna Jaouad³

Affiliation:

1. Cadi Ayyad University, Multidisciplinary Faculty, Safi, Morocco

2. Laboratory LAMA, Sidi Mohamed Ben Abdellah University, National School of Applied Sciences Fez, Morocco

3. Laboratory LAMA, Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, B.P Atlas Fez, Morocco

Abstract

This manuscript proves the existence and regularity of solutions with respect to the summability of second member 1 ? Lm(?)(?), to the obstacle problem associated to nonlinear elliptic equation (?div A(x, v,?v) = g in ?, u = 0 in ??. (1) The arguments are based on the rearrangement techniques to obtain some priori estimates in Marcinkwicz spaces with variable exponents.

Publisher

National Library of Serbia

Reference29 articles.

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