Gradient estimates for Orlicz double phase problems with variable exponents

Optimal regularity estimates are established for the gradient of solutions to non-uniformly elliptic equations of Orlicz double phase with variable exponents type in divergence form under sharp conditions on such highly nonlinear operators for the Calderón–Zygmund theory.

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Bibliographic Details
Published inNonlinear analysis Vol. 221; p. 112891
Main Authors Baasandorj, Sumiya, Byun, Sun-Sig, Lee, Ho-Sik
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2022
Subjects
Calderón–Zygmund estimate
Gradient estimates
Non-standard growth
Orlicz double phase
Variable exponent
secondary
Orlicz double phase
Calderón–Zygmund estimate
Gradient estimates
Variable exponent
Non-standard growth
primary
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Summary:Optimal regularity estimates are established for the gradient of solutions to non-uniformly elliptic equations of Orlicz double phase with variable exponents type in divergence form under sharp conditions on such highly nonlinear operators for the Calderón–Zygmund theory.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2022.112891