Calderón-Zygmund estimates for generalized double phase problems

Sumiya Baasandorj; Sun Sig Byun; Jehan Oh

doi:10.1016/j.jfa.2020.108670

Calderón-Zygmund estimates for generalized double phase problems

Sumiya Baasandorj, Sun Sig Byun, Jehan Oh

Seoul National University

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We prove Calderón-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderón-Zygmund type estimates.

Original language	English
Article number	108670
Journal	Journal of Functional Analysis
Volume	279
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2020.108670
State	Published - 15 Oct 2020

Keywords

Calderón-Zygmund theory
Double phase problem
Gradient estimates
Non-standard growth

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10.1016/j.jfa.2020.108670

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@article{678ef50bfd5841e7b2688c8c01f934b1,

title = "Calder{\'o}n-Zygmund estimates for generalized double phase problems",

abstract = "We prove Calder{\'o}n-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calder{\'o}n-Zygmund type estimates.",

keywords = "Calder{\'o}n-Zygmund theory, Double phase problem, Gradient estimates, Non-standard growth",

author = "Sumiya Baasandorj and Byun, \{Sun Sig\} and Jehan Oh",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

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day = "15",

doi = "10.1016/j.jfa.2020.108670",

language = "English",

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T1 - Calderón-Zygmund estimates for generalized double phase problems

AU - Baasandorj, Sumiya

AU - Byun, Sun Sig

AU - Oh, Jehan

PY - 2020/10/15

Y1 - 2020/10/15

N2 - We prove Calderón-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderón-Zygmund type estimates.

AB - We prove Calderón-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderón-Zygmund type estimates.

KW - Calderón-Zygmund theory

KW - Double phase problem

KW - Gradient estimates

KW - Non-standard growth

UR - https://www.scopus.com/pages/publications/85085658261

U2 - 10.1016/j.jfa.2020.108670

DO - 10.1016/j.jfa.2020.108670

M3 - Article

AN - SCOPUS:85085658261

SN - 0022-1236

VL - 279

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 7

M1 - 108670

ER -

Calderón-Zygmund estimates for generalized double phase problems

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Keywords

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