Bubbling solutions of fourth order mean field equations on S^(4)  

作　　者：Changfeng Gui Yeyao Hu Weihong Xie 

机构地区：[1]Department of Mathematics,The University of Texas at San Antonio,San Antonio,TX 78249,USA [2]School of Mathematics and Statistics,Hunan Key Laboratory of Analytical Mathematics and Applications,Central South University,Changsha 410083,China

出　　处：《Science China Mathematics》2023年第6期1217-1236,共20页中国科学：数学（英文版）

基　　金：supported by National Science Foundation of USA (Grant No.DMS-1901914);supported by National Natural Science Foundation of China (Grant Nos.12101612 and 12171456)。

摘　　要：In this paper,we first establish the existence of blow-up solutions with two antipodal points of the fourth order mean field equations on S^(4).Moreover,we construct non-axially symmetric solutions with blow-up points at the vertices of regular configurations,i.e.,equilateral triangles on a great circle,regular tetrahedrons,cubes,octahedrons,icosahedrons and dodecahedrons.The bubbling rates of these blow-up solutions rely on various bubbling configurations.

关 键 词：Paneitz operator bubbling solution axially symmetric solution non-axially symmetric solution regularpolyhedra 

分 类 号：O175[理学—数学]