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The Existence and Nonexistence of Entire Blow-up Solutions for Semilinear Elliptic Systems
2021-04-26 08:48 Read:

Topic:The Existence and Nonexistence of Entire Blow-up Solutions forSemilinearElliptic Systems

Time:19:30—21:00, April 27th(Tuesday), 2021

Tencent Meeting ID:645 833 913

Speaker:Zhang Xinguang

Hosted by:School of Mathematics and Quantitative Economics

Introduction to the Speaker:

Zhang Xinguangis aProfessor of Yantai University, Doctoral Supervisor of Curtin University, Australia, member of Young and Middle Aged Experts with Outstanding Contributions to Shandong Province. In 2019 and 2020, Professor Zhang was listed asone of theScientists with High Rate of Citation in the world. Starting from March 2013, Prof. Zhanghas been invitedto pay an academic visit to Curtin University, Australia. Professor Zhang specializes in Nonlinear Functional Analysis, Differential Equations, Boundary Value Problems. He has published 90-odd papers with high prestige in the SCI journals internationally, 34 papers with high rate of citation of ESI, some of which have been awarded the One Hundred Papers with Huge International Influence in the year 2012 and 2013,respectively. Professor Zhang has presided over and participated infiveGeneral Programsfromthe National Natural Science Foundation of China, andtwoprojects of Shandong Natural Science Foundation.In 2008 and 2017, Professor Zhang had won the 3rdgrade of Natural Science Award in Shandong Province.

Abstract of the Lecture:

In this talk, we firstly introduce some recent international developments on entire blow-up solutions for semilinear and quasilinear Schrödinger elliptic systems.Then weshow some new results on the existence and nonexistence of radial large positive solutions for modified Schrödinger systems with a nonconvex diffusion term by a successive iteration technique and the dual approach. The necessary and sufficient condition for the existence of radial large positive solutions is established.

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