Lecturer: Chen Haibo

Abstract:

In this talk, we focus our attention on a class of fractional Choquard equation with singular potential. Firstly, we study the regularity of weak solutions for above equation with critical nonlinearity. Secondly, as an application of the regularity results, we establish the existence of ground state solutions for above equation with the nonlinearity involving embedding top and bottom indices, which is related to the Hardy-Littlewood-Sobolev inequality and singular term.

Introduction to the Lecturer:

Chen Haibo is a professor and doctoral supervisor of School of Mathematics and Statistics, Central South University. He is engaged in the research of qualitative theory of ordinary differential equations, the theory and application of partial differential equations. He has made a series of academic achievements in the determination of the central focus of planar differential system, the bifurcation of limit cycles and the basic theory of the solutions of elliptic partial differential equations. He has published more than 160 SCI papers inJ. Differential Equationand other important academic journals at home and abroad, presided over and completed a number of general programs of the National Natural Science Foundation of China, key programs of Natural Science Foundation of Hunan Province and programs of the Foundation for the Returned Overseas Chinese Scholars of Ministry of Education, and successively won Baosteel Education Award and Hunan Natural Science Award.

Invitee:

Si Jianguo, Professor from School of Mathematics

Time:

19:30-20:30, November 25 (Thursday)

Venue:

Tencent Meeting ID: 446 130 665

Hosted by School of Mathematics, Shandong University