supported by the Natural Science Research Project of Anhui Educational Committee(2023AH040155);Zhisu Liu's research was supported by the Guangdong Basic and Applied Basic Research Foundation(2023A1515011679;2024A1515012704);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUG2106211;CUGST2).
The paper is concerned with a class of elliptic equation with critical exponent and Dipole potential.More precisely,we make use of the refined Sobolev inequality with Morrey norm to obtain the existence and decay prop...
supported by the National Natural Science Foundation of China(Grant No.12231005);the Shanghai Science and Technology Innovation Action Plan(Grant No.21ZR1404200);supported by the China Postdoctoral Science Foundation(Grant Nos.2020TQ0077 and 2020M681134)。
We establish coanalytic models for a broad class of Hardy-type operators on L^(2)[0,1].In particular,we show that the logarithmic Hardy operator is unitarily equivalent to the difference between the identity operator ...
supported by the National Natural Science Foundation of China(Grant Nos.61771020 and 61471412);the Zhejiang Great Project(Grant No.2021PE0AC04)。
Linear canonical transform is of much significance to optics and information science.Hardy uncertainty principle,like Heisenberg uncertainty principle,plays an important role in various fields.In this paper,four new s...
supported by the Natural Science Foundation of China(12201234);the Natural Science Foundation of Anhui Province of China(2008085MA07).
Motivated by a recent work of Wang-Yang[19],we study the compactness of extremals[ug]for singular Hardy-Trudinger-Moser inequalities due to Hou[24].In particular,by the method of blow-up analysis,we conclude that,up t...