【摘 要】
：
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
【机 构】
：
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China
论文部分内容阅读
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 eigenvalues associated with P1 and P2,and prove some rigidity theorems by characterizing the equalities.Similarly,some comparison theorems between P2 and the Paneitz operator P4 or the 6th order GJMS operator P6 are also given.
其他文献
A new type of internally illuminated honeycomb photoreactor was designed.The honeycomb catalyst prepared by using Ce-doped TiO2 with 1％-2％ vanadium and tungsten was employed for mercury removal from simulated industrial flue gas.The adsorption kinetics in
Porous foams have been widely employed to improve heat storage rate and prevent leakage of phase change materials (PCMs).Actual porous foams have non-uniform or hierarchical pore size distribution,which is usually neglected in most researches.Here,we esta
Conductive hydrogels are good candidates for flexible wearable sensors,which have received considerable attention for use in human-machine interfaces,human motion/health monitoring,and soft robots.However,these hydrogels often freeze at low temperatures a
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
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