Two problems related to prescribed curvature measures

Yong Huang; Lu Xu

doi:10.3934/dcds.2013.33.1975

Article Contents

2013, Volume 33, Issue 5: 1975-1986. Doi: 10.3934/dcds.2013.33.1975

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Two problems related to prescribed curvature measures

Yong Huang^1, and
Lu Xu^1,

1.
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071

Received: March 2012

Revised: September 2012

Published: May 2013

Abstract / Introduction Related Papers Cited by

Abstract

Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. Moreover, we promote Ivochkina's $C^2$ estimates for prescribed curvature equation in [12,13].

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Mathematics Subject Classification: Primary: 35J60, 35J66; Secondary: 53C21.

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References

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