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

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

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Bibliographic Details
Published inNonlinear analysis Vol. 255; p. 113754
Main Authors Ri, Dukman, Kwon, Sungil
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2025
Subjects
35D30
74B20
Boundedness
Double phase
Higher integrability mathematics subject classification: 35B65
Hölder continuity
Higher integrability mathematics subject classification: 35B65
35D30
Double phase
Hölder continuity
74B20
Boundedness
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Summary:We study a class of double phase elliptic equations with variable exponents and critical growth. In the present paper we establish the boundedness, Hölder continuity and higher integrability of weak solutions for these equations. Our results partially generalize those obtained by Winkert and his collaborators (2023)
ISSN:0362-546X
DOI:10.1016/j.na.2025.113754