Global C1,α regularity for a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
Abstract
In this paper we establish sharp global C1,α regularity for a class of degenerate/singular fully nonlinear elliptic equations featuring Hamiltonian structures. The results presented in this paper serve as the boundary counterpart to the interior regularity estimates recently derived in AN25b, HJMZ26, and substantially generalize the existing regularity theory developed in BBLL24b, BSRR23, BD14. The optimal regularity is established within the framework of Caffarelli's perturbation argument C89, CC95.
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