Gradient regularity for fully nonlinear equations with degenerate coefficients
Analysis of PDEs
2024-05-27 v2
Abstract
We derive C1,α estimates for viscosity solutions of fully nonlinear equations degenerating on a hypersurface.
Cite
@article{arxiv.2307.12095,
title = {Gradient regularity for fully nonlinear equations with degenerate coefficients},
author = {David Jesus and Yannick Sire},
journal= {arXiv preprint arXiv:2307.12095},
year = {2024}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
C^{1,\alpha}-regularity for a class of degenerate/singular fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee, Se-Chan Lee
2022-09-30
Analysis of PDEs · Mathematics
$C^{1,\alpha}$ regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on $C^1$ domains
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
2024-07-02
Analysis of PDEs · Mathematics
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy
Pêdra D. S. Andrade, Disson S. dos Prazeres, Makson S. Santos
2023-02-02
Analysis of PDEs · Mathematics
C^{1,\alpha} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions
Sun-Sig Byun, Hongsoo Kim, Seunghyun Kim
2026-04-08
Analysis of PDEs · Mathematics
Regularity for solutions of fully nonlinear elliptic equations with non-homogeneous degeneracy
Cristiana De Filippis
2020-01-01
Analysis of PDEs · Mathematics
pointwise boundary $\bm{{C}^{1,\alpha}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,\alpha}}$ Domains
Xuemei Li, Dongsheng Li
2023-05-23
Analysis of PDEs · Mathematics
Optimal C^{1,\apha} regularity for degenerate fully nonlinear elliptic equations with Neumann boundary condition
G. C. Ricarte
2020-08-12
Analysis of PDEs · Mathematics
Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations
Damião Araújo, Boyan Sirakov
2021-08-23
Analysis of PDEs · Mathematics
Local $C^{0,\alpha}$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems
Guy Barles, Francesca Da Lio
2009-10-27
Analysis of PDEs · Mathematics
Sharp regularity for a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
Wentao Huo, Xiaofeng Jin, Lingwei Ma, Zhenqiu Zhang
2026-05-05
Analysis of PDEs · Mathematics
Sharp regularity for degenerate fully nonlinear equations with oblique boundary conditions and Hamiltonian terms
Junior da Silva Bessa, Gleydson C. Ricarte
2026-05-05
Analysis of PDEs · Mathematics
$C^{1, \alpha}$-regularity for solutions of degenerate/singular fully nonlinear parabolic equations
Ki-Ahm Lee, Se-Chan Lee, Hyungsung Yun
2023-03-17
Analysis of PDEs · Mathematics
$C^{1,\alpha}$ regularity of solutions of degenerate fully non-linear elliptic equations
Cyril Imbert, L. Silvestre
2012-11-27
Analysis of PDEs · Mathematics
Optimal $C^{1,\alpha}$ regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
Junior da Silva Bessa, Jehan Oh
2026-04-07
Analysis of PDEs · Mathematics
Interior regularity estimates for fully nonlinear equations with arbitrary nonhomogeneous degeneracy laws
Pêdra D. S. Andrade, Thialita M. Nascimento
2025-01-08
Analysis of PDEs · Mathematics
Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee, Se-Chan Lee
2022-10-03
Analysis of PDEs · Mathematics
Regularity for fully nonlinear elliptic equations with oblique boundary conditions
Dongsheng Li, Kai Zhang
2019-01-21
Analysis of PDEs · Mathematics
Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent
Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang
2021-03-25
Analysis of PDEs · Mathematics
$C^{1,\alpha}$ regularity for fully nonlinear elliptic equations with superlinear growth in the gradient
Gabrielle Nornberg
2019-07-08
Analysis of PDEs · Mathematics
Boundary Regularity for viscosity solutions of Fully nonlinear degenerate/singular parabolic equations
Ki-Ahm Lee, Hyungsung Yun
2023-05-25
Analysis of PDEs · Mathematics
Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms
Yuanyuan Lian, Lihe Wang, Kai Zhang
2026-01-06
Differential Geometry · Mathematics
$C^{2,\alpha}$ regularities and estimates for nonlinear elliptic and parabolic equations in geometry
Jianchun Chu
2016-01-15
Analysis of PDEs · Mathematics
Local regularity for quasi-linear parabolic equations in non-divergence form
Amal Attouchi
2018-09-11
Analysis of PDEs · Mathematics
Fully nonlinear degenerate equations with applications to Grad equations
Priyank Oza
2025-12-12
Analysis of PDEs · Mathematics
Regularity for a class of degenerate fully nonlinear nonlocal elliptic equations
Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang
2024-08-29