The interior gradient estimate for some nonlinear curvature equations

Liangjun Weng

doi:10.3934/cpaa.2019076

Article Contents

2019, Volume 18, Issue 4: 1601-1612. Doi: 10.3934/cpaa.2019076

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The interior gradient estimate for some nonlinear curvature equations

Liangjun Weng^1,2,

1.
School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
University of Freiburg, Freiburg im Breisgau 79104, Germany

Received: November 2017

Revised: August 2018

Published: January 2019

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Abstract

In this paper, we obtain the interior gradient estimate of some nonlinear equations which arise naturally from prescribed curvature problem of graphs in hyperbolic space. The method depends on the maximum principle.

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Mathematics Subject Classification: Primary: 35J60. Secondary: 35B45.

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References

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