C1 regularity for some degenerate/singular fully nonlinear elliptic equations

被引:1
作者
Baasandorj, Sumiya [1 ]
Byun, Sun-Sig [2 ,3 ]
Oh, Jehan [4 ]
机构
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[3] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[4] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
基金
新加坡国家研究基金会;
关键词
Fully nonlinear degenerate/singular; equations; Regularity of viscosity solutions; Differentiability of solutions; VISCOSITY SOLUTIONS; HARNACK INEQUALITY;
D O I
10.1016/j.aml.2023.108830
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide C1 regularity for some degenerate/singular fully nonlinear elliptic equations under minimal assumptions on associated operators. & COPY; 2023 Elsevier Ltd. All rights reserved.
引用
收藏
页数:10
相关论文
共 19 条
[1]   C1-regularity for degenerate diffusion equations [J].
Andrade, P. ;
Pellegrino, D. ;
Pimentel, E. ;
Teixeira, E. .
ADVANCES IN MATHEMATICS, 2022, 409
[2]   Geometric gradient estimates for solutions to degenerate elliptic equations [J].
Araujo, Damiao J. ;
Ricarte, Gleydson ;
Teixeira, Eduardo V. .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 53 (3-4) :605-625
[3]  
Baasandorj S, 2022, Arxiv, DOI [arXiv:2209.15232, 10.1007/s00209-023-03400-9, DOI 10.1007/S00209-023-03400-9]
[4]  
Baasandorj S, 2022, Arxiv, DOI arXiv:2209.14581
[5]   Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators [J].
Birindelli, I. ;
Demengel, F. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (05) :1089-1110
[6]  
Birindelli I., Springer INDAM Series
[7]  
Birindelli I., 2004, Ann. Fac. Sci. Toulouse Math., V13, P261
[8]   Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations [J].
Bronzi, Anne C. ;
Pimentel, Edgard A. ;
Rampasso, Giane C. ;
Teixeira, Eduardo, V .
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (12)
[9]   Fully nonlinear integro-differential equations with deforming kernels [J].
Caffarelli, Luis ;
Teymurazyan, Rafayel ;
Urbano, Jose Miguel .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 45 (08) :847-871
[10]   USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS [J].
CRANDALL, MG ;
ISHII, H ;
LIONS, PL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :1-67