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

16 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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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.",

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AU - Baasandorj, Sumiya

AU - Byun, Sun Sig

AU - Oh, Jehan

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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.

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DO - 10.1007/s00526-021-01940-8

M3 - Article

AN - SCOPUS:85104113554

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VL - 60

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

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ER -

Gradient estimates for multi-phase problems

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