Geodesic
$C^{1,\alpha}$-regularity for a class of degenerate/singular fully non-linear elliptic equations
Sumiya Baasandorj1 orcid ; Sun-Sig Byun1 ; Ki-Ahm Lee1 orcid ; Se-Chan Lee1 orcid
1Seoul National University, Republic of Korea
Interfaces and free boundaries, Tome 26 (2024) no. 2, pp. 189-215

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DOI

We establish an optimal C1,α-regularity for viscosity solutions of degenerate/singular fully non-linear elliptic equations by finding minimal regularity requirements on the associated operator.
DOI : 10.4171/ifb/496
Classification : 35B65, 35J60, 35J70, 35D40
Mots-clés : fully non-linear degenerate/singular equations, regularity in Hölder spaces, viscosity solutions

Sumiya Baasandorj  1   ; Sun-Sig Byun  1   ; Ki-Ahm Lee  1   ; Se-Chan Lee  1

1 Seoul National University, Republic of Korea 
Sumiya Baasandorj; Sun-Sig Byun; Ki-Ahm Lee; Se-Chan Lee. $C^{1,\alpha}$-regularity for a class of degenerate/singular fully non-linear elliptic equations. Interfaces and free boundaries, Tome 26 (2024) no. 2, pp. 189-215. doi: 10.4171/ifb/496
@article{10_4171_ifb_496,
     author = {Sumiya Baasandorj and Sun-Sig Byun and Ki-Ahm Lee and Se-Chan Lee},
     title = {$C^{1,\alpha}$-regularity for a class of degenerate/singular fully non-linear elliptic equations},
     journal = {Interfaces and free boundaries},
     pages = {189--215},
     year = {2024},
     volume = {26},
     number = {2},
     doi = {10.4171/ifb/496},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/496/}
}
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