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The positive energy conjecture for a class of AHM metrics on R-2 x Tn-2 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 12
作者:  Liang, Zhuobin;  Zhang, Xiao
收藏  |  浏览/下载:74/0  |  提交时间:2023/02/07
positive energy conjecture  asymptotically Horowitz-Myers metrics  asymptotically local hyperbolic manifolds  
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LICHNEROWICZ EQUATIONS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2022, 卷号: 317, 期号: 2, 页码: 363-386
作者:  Huang, Pingliang;  Wang, Youde
收藏  |  浏览/下载:74/0  |  提交时间:2023/02/07
gradient estimate  Ricci curvature  Liouville theorem  Harnack inequality  nonlinear elliptic equations  
Collapsing dust thin shells in Einstein-Gauss-Bonnet gravity 期刊论文
EUROPEAN PHYSICAL JOURNAL C, 2022, 卷号: 82, 期号: 2, 页码: 11
作者:  Huang, Yong-Ming;  Tian, Yu;  Wu, Xiao-Ning
收藏  |  浏览/下载:149/0  |  提交时间:2022/04/29
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
作者:  Peng, Bo;  Wang, Youde;  Wei, Guodong
收藏  |  浏览/下载:183/0  |  提交时间:2021/04/26
Gradient estimate  Ricci curvature  Nonlinear elliptic equation  
Metrics of Eguchi-Hanson types with the negative constant scalar curvature 期刊论文
JOURNAL OF GEOMETRY AND PHYSICS, 2021, 卷号: 161, 页码: 10
作者:  Chen, Junwen;  Zhang, Xiao
收藏  |  浏览/下载:174/0  |  提交时间:2021/04/26
Eguchi-Hanson metrics  Scalar curvature  Total energy  
Metrics of Horowitz-Myers type with the negative constant scalar curvature 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 11, 页码: 12
作者:  Liang, Zhuobin;  Zhang, Xiao
收藏  |  浏览/下载:157/0  |  提交时间:2021/01/14
JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY 期刊论文
ASIAN JOURNAL OF MATHEMATICS, 2020, 卷号: 24, 期号: 5, 页码: 759-782
作者:  Li, Yuxiang;  Wei, Guodong;  Zhou, Zhipeng
收藏  |  浏览/下载:161/0  |  提交时间:2021/04/26
John-Nirenberg Radius  scalar curvature equation  Blow up analysis  
Global weak solutions to Landau-Lifshitz equations into compact Lie algebras 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 页码: 34
作者:  Jia, Zonglin;  Wang, Youde
收藏  |  浏览/下载:204/0  |  提交时间:2020/05/24
Landau-Lifshitz (LL) equations  Lie algebra  test functions  
Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 卷号: 30, 期号: 13, 页码: 16
作者:  Wang, Yaohua;  Zhang, Xiao
收藏  |  浏览/下载:155/0  |  提交时间:2020/05/24
General relativity  the positive energy theorem  asymptotically anti-de Sitter spacetime  distributional curvature  
Higher-order geometric flow of hypersurfaces in a Riemannian manifold 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 卷号: 30, 期号: 13, 页码: 47
作者:  Jia, Zonglin;  Wang, Youde
收藏  |  浏览/下载:164/0  |  提交时间:2020/05/24
Universal interpolation inequality  gradient flow  Sobolev inequality on submanifold