ELLIPTIC EQUATION WITH CRITICAL EXPONENT AND DIPOLE POTENTIAL: EXISTENCE AND DECAY ESTIMATES  

作　　者：Yu SU Zhisu LIU Senli LIU 苏宇;刘志苏;刘森立

机构地区：[1]School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China [2]School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China [3]Institute for Advanced Marine Research,China University of Geosciences,Guangzhou 511462,China [4]College of Mathematics and Computing Science,Hunan University of Science and Technology,Xiangtan 411201,China

出　　处：《Acta Mathematica Scientia》2025年第2期636-658,共23页数学物理学报(B辑英文版)

基　　金：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).

摘　　要：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 properties of nonnegative radial ground state solutions.

关 键 词：Dipole potential decay estimation Hardy Sobolev critical exponent Henon Sobolev critical exponent 

分 类 号：O175.2[理学—数学]