Gradient estimates for multi-phase problems

Sumiya Baasandorj; Sun Sig Byun; Jehan Oh

doi:10.1007/s00526-021-01940-8

Gradient estimates for multi-phase problems

Sumiya Baasandorj
, Sun Sig Byun
, Jehan Oh

Seoul National University

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

22 Scopus citations

Abstract

We prove optimal gradient estimates for distributional solutions to non-uniformly elliptic equations of multi-phase type in divergence form by investigating sharp conditions on such nonlinear operators for the Calderón-Zygmund theory.

Original language	English
Article number	104
Journal	Calculus of Variations and Partial Differential Equations
Volume	60
Issue number	3
DOIs	https://doi.org/10.1007/s00526-021-01940-8
State	Published - Jun 2021

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@article{2a79744622fc4d1786c70ec074748f89,

title = "Gradient estimates for multi-phase problems",

abstract = "We prove optimal gradient estimates for distributional solutions to non-uniformly elliptic equations of multi-phase type in divergence form by investigating sharp conditions on such nonlinear operators for the Calder{\'o}n-Zygmund theory.",

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

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.",

year = "2021",

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doi = "10.1007/s00526-021-01940-8",

language = "English",

volume = "60",

journal = "Calculus of Variations and Partial Differential Equations",

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T1 - Gradient estimates for multi-phase problems

AU - Baasandorj, Sumiya

AU - Byun, Sun Sig

AU - Oh, Jehan

PY - 2021/6

Y1 - 2021/6

N2 - We prove optimal gradient estimates for distributional solutions to non-uniformly elliptic equations of multi-phase type in divergence form by investigating sharp conditions on such nonlinear operators for the Calderón-Zygmund theory.

AB - We prove optimal gradient estimates for distributional solutions to non-uniformly elliptic equations of multi-phase type in divergence form by investigating sharp conditions on such nonlinear operators for the Calderón-Zygmund theory.

UR - https://www.scopus.com/pages/publications/85104113554

U2 - 10.1007/s00526-021-01940-8

DO - 10.1007/s00526-021-01940-8

M3 - Article

AN - SCOPUS:85104113554

SN - 0944-2669

VL - 60

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

M1 - 104

ER -

Gradient estimates for multi-phase problems

Abstract

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