Second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations

Sumiya Baasandorj; Sun Sig Byun; Jehan Oh

doi:10.1016/j.na.2024.113630

Second derivative L^δ-estimates for a class of singular fully nonlinear elliptic equations

Sumiya Baasandorj
, Sun Sig Byun
, Jehan Oh

Scuola Normale Superiore di Pisa
Seoul National University

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

2 Scopus citations

Abstract

We provide global a priori second derivative L^δ-estimates for a class of singular fully nonlinear elliptic equations with right hand side terms of Lⁿ.

Original language	English
Article number	113630
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	249
DOIs	https://doi.org/10.1016/j.na.2024.113630
State	Published - Dec 2024

Keywords

Global second derivative L-estimates
Singular fully nonlinear equations
Viscosity solutions

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10.1016/j.na.2024.113630

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title = "Second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations",

abstract = "We provide global a priori second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations with right hand side terms of Ln.",

keywords = "Global second derivative L-estimates, Singular fully nonlinear equations, Viscosity solutions",

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

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Ltd",

year = "2024",

month = dec,

doi = "10.1016/j.na.2024.113630",

language = "English",

volume = "249",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

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T1 - Second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations

AU - Baasandorj, Sumiya

AU - Byun, Sun Sig

AU - Oh, Jehan

PY - 2024/12

Y1 - 2024/12

N2 - We provide global a priori second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations with right hand side terms of Ln.

AB - We provide global a priori second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations with right hand side terms of Ln.

KW - Global second derivative L-estimates

KW - Singular fully nonlinear equations

KW - Viscosity solutions

UR - https://www.scopus.com/pages/publications/85200819660

U2 - 10.1016/j.na.2024.113630

DO - 10.1016/j.na.2024.113630

M3 - Article

AN - SCOPUS:85200819660

SN - 0362-546X

VL - 249

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 113630

ER -

Second derivative L^δ-estimates for a class of singular fully nonlinear elliptic equations

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Keywords

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