Existence and L∞-estimates for non-uniformly elliptic equations with non-polynomial growths-Reference-Cited by-同舟云学术

Existence and L∞-estimates for non-uniformly elliptic equations with non-polynomial growths

Published:2023 Issue:16 Volume:37 Page:5509-5522
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Benslimane Omar¹,Aberqi Ahmed²,Elmassoudi Mhamed¹

Affiliation:

1. Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar Al Mahraz, Department of Mathematics, Atlas Fez, Morocco

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

Abstract

In the current paper, we investigate the existence and regularity of weak solutions to a class of non-uniformly elliptic equations with degenerate coercivity and non-polynomial growth. The model case is given as follows: div(exp(1 + |Du|)/(1 + |u|)2 Du) + M(|Du|)/(1 + |u|)2.u = f in ?. An L?- estimate of solutions is also obtained for an L1-datum f.

Publisher

National Library of Serbia

Reference29 articles.

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5. A. Aberqi, A. Benkirane and M. Elmassoudi, On some nonlinear degenerate elliptic equations havinga lower term in Musielak spaces, Advances in Operator Theory, 7 (2022), 1-20.

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