The partial C0-estimate along a general continuity path and applications

来源 :中国科学:数学(英文版) | 被引量 : 0次 | 上传用户:jiangguoliang
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
We establish a new partial C0-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted (1,1)-form on Fano manifolds.As an application,this estimate enables us to show the reductivity of the automorphism group of the limit space,which leads to a new proof of the Yau-Tian-Donaldson conjecture.
其他文献
To develop high-performance photodetectors (PDs) as near-infrared (NIR) imaging sensors,researchers have either proposed new photoelectric materials,introduced complicated interface-processing steps,or created complex optical structures.In this study,we i
A naturally discrete nanobar implies that the continuum axiom fails,and the surface-to-volume ratio is very large.The noniocal theory of elasticity releasing the continuum axiom and the surface theory of elasticity are therefore employed to model tensile
Magnesium was considered as a revolutionary biodegradable implant material for orthopedic application.Concerning the weakness of intrinsic strength and corrosion behavior,a novel strategy of Mg/metal hybrid system was proposed for extension of orthopedic
Through the design of artificial structures,metamaterials can control the incident wave in the sub-wavelength range to achieve functions that natural materials cannot achieve,such as high absorption,negative refraction,cloaking [1-3],asymmetric propagatio
期刊
Over the last century,abnormal electromagnetic (EM) emissions associated with earthquake (EQ) activities have been widely reported and recorded by ground-based and satellite observations.The mechanism of extremely low-frequency (ELF) EM waves radiated fro
Starting with the relatively simple observation that the variational estimates of the commutators of the standard Calderón-Zygmund operators with the bounded mean oscillation (RMO) functions can be obtained from their weighted variational estimates,we est
基于对准噶尔盆地侏罗系八道湾组和西山窑组煤岩储层、天然气地球化学特征,以及煤层气井试气结果的分析,提出在侏罗系煤层中存在既不同于煤层气、也不同于常规气的一种新的聚集类型的天然气——煤岩气.煤岩气是介于常规气和煤层气之间的一种新的天然气资源类型,具有常规储层和非常规储层共存,游离气和吸附气共生,自源气和它源气互补聚集、有序分布的特征.针对这一新的勘探领域,优选白家海凸起彩31井断背斜构造,以侏罗系西山窑组煤层为目的层部署风险探井——彩探1H井,试气获得最高日产5.7×104m3、稳产日产2×104m3的工业
In this paper,we compare the first order fractional GJMS (see Graham et al.(1992)) operator P1 with the conformal Laplacian P2 on the conformal infinity of a Poincaré-Einstein manifold.We derive some inequalities between the Yamabe constants and the first
This article is concerned with the well-posedness as well as long-term dynamics of a wide class of non-autonomous,non-local,fractional,stochastic FitzHugh-Nagumo systems driven by nonlinear noise defined on the entire space RN.The well-posedness is proved
四川盆地川中隆起带震旦系—寒武系探明天然气储量超过万亿立方米,发现中二叠统栖霞组气藏,洗象池组、茅口组、玄武岩组、长兴组等层系获工业气流,不同层系气藏天然气地球化学特征存在明显差异.基于大量新获气井天然气组分、碳同位素、氢同位素等分析实验数据,系统研究了川中隆起带天然气成因及成藏特征,明确了下一个万亿立方米级重点勘探领域.研究结果表明:(1)震旦系、寒武系和二叠系天然气均是以烃类气体为主且干燥系数大于0.997的干气,属于原油裂解气.绝大多数二叠系天然气C2H6含量、δ13C2、δ2HCH4与源自下寒武统