𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Jiao, Heming

doi:10.1090/proc/12988

$C^{1,1}$ regularity for an obstacle problem of Hessian equations on Riemannian manifolds
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Proc. Amer. Math. Soc. 144 (2016), 3441-3453 Request permission

Abstract:

In this paper, we study an obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. Using some new ideas, the $C^{1,1}$ regularity for the greatest viscosity solution is established under essentially optimal structure conditions.

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