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arXiv · 1412.6874

A priori estimates for the obstacle problem of Hessian type equations on Riemannian manifolds

Tingting Wang·WeiSong Dong·Gejun Bao
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Abstract

We are concerned with a priori estimates for the obstacle problem of a wide class of fully nonlinear equations on Riemannian manifolds. We use new techniques introduced by Bo Guan and derive new results for a priori second order estimates of its singular perturbation problem under fairly general conditions. By approximation, the existence of a C^{1,1} viscosity solution is proved.

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Tingting Wang, WeiSong Dong, Gejun Bao. 2014-12-22. A priori estimates for the obstacle problem of Hessian type equations on Riemannian manifolds. https://arxiv.org/abs/1412.6874

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