On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds

Bo Guan; Ni Xiang

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arXiv · 1811.12448

On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds

Bo Guan·Ni Xiang

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Abstract

We derive gradient and second order {\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian manifolds with boundary. These estimates yield regularity and existence results.

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Bo Guan, Ni Xiang. 2018-11-29. On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds. https://arxiv.org/abs/1811.12448

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