Holder continuity and higher integrability of weak solutions to. double phase elliptic equations involving variable exponents and. critical growth

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-02-22 DOI:10.1016/j.na.2025.113754

Dukman Ri, Sungil Kwon

引用次数: 0

Abstract

We study a class of double phase elliptic equations with variable exponents and critical growth. In the present paper we establish the boundedness, Holder continuity and higher integrability of weak solutions for these equations. Our results partially generalize those obtained by Winkert and his collaborators (2023)

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.