$C^{1,\alpha}$-regularity for a class of degenerate/singular fully non-linear elliptic equations

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

doi:10.4171/ifb/496

JournalsifbVol. 26, No. 2pp. 189–215

$C^{1, α}$ -regularity for a class of degenerate/singular fully non-linear elliptic equations

Sumiya Baasandorj
Seoul National University, Republic of Korea
Sun-Sig Byun
Seoul National University, Republic of Korea
Ki-Ahm Lee
Seoul National University, Republic of Korea
Se-Chan Lee
Seoul National University, Republic of Korea

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Abstract

We establish an optimal $C^{1, α}$ -regularity for viscosity solutions of degenerate/singular fully non-linear elliptic equations by finding minimal regularity requirements on the associated operator.

Cite this article

Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee, Se-Chan Lee, $C^{1, α}$ -regularity for a class of degenerate/singular fully non-linear elliptic equations. Interfaces Free Bound. 26 (2024), no. 2, pp. 189–215

DOI 10.4171/IFB/496