C1 regularity for some degenerate/singular fully nonlinear elliptic equations

Sumiya Baasandorj; Sun Sig Byun; Jehan Oh

doi:10.1016/j.aml.2023.108830

C¹ regularity for some degenerate/singular fully nonlinear elliptic equations

Sumiya Baasandorj, Sun Sig Byun, Jehan Oh

Seoul National University

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

Abstract

We provide C¹ regularity for some degenerate/singular fully nonlinear elliptic equations under minimal assumptions on associated operators.

Original language	English
Article number	108830
Journal	Applied Mathematics Letters
Volume	146
DOIs	https://doi.org/10.1016/j.aml.2023.108830
State	Published - Dec 2023

Keywords

Differentiability of solutions
Fully nonlinear degenerate/singular equations
Regularity of viscosity solutions

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10.1016/j.aml.2023.108830

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title = "C1 regularity for some degenerate/singular fully nonlinear elliptic equations",

abstract = "We provide C1 regularity for some degenerate/singular fully nonlinear elliptic equations under minimal assumptions on associated operators.",

keywords = "Differentiability of solutions, Fully nonlinear degenerate/singular equations, Regularity of viscosity solutions",

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

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Ltd",

year = "2023",

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doi = "10.1016/j.aml.2023.108830",

language = "English",

volume = "146",

journal = "Applied Mathematics Letters",

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AU - Baasandorj, Sumiya

AU - Byun, Sun Sig

AU - Oh, Jehan

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AB - We provide C1 regularity for some degenerate/singular fully nonlinear elliptic equations under minimal assumptions on associated operators.

KW - Differentiability of solutions

KW - Fully nonlinear degenerate/singular equations

KW - Regularity of viscosity solutions

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VL - 146

JO - Applied Mathematics Letters

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C¹ regularity for some degenerate/singular fully nonlinear elliptic equations

Abstract

Keywords

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