Report title: Global multiplicity of solutions for a modified elliptic problem with singular terms

Reporter: Professor Yang Minbo, Zhejiang Normal University

Reporting time: September 24, 2020 14:00-15:00

Report location: Tencent Meeting ID: 222257915

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School contact: Wei Yuanhong weiyuanhong@jlu.edu.cn

Report summary:

   In this talk we introduce some global multiplicity results of solutions for the singular nonlinear problem. We first prove a comparison principle to prove the existence of a minimal solution by the method of sub and super solutions and then we also obtain the second solution by critical point theory.

Brief introduction of the speaker:

    Yang Minbo, Ph.D. graduated from the Institute of Mathematics, Chinese Academy of Sciences, Professor of the Department of Mathematics, Zhejiang Normal University, PhD supervisor, Associate Dean of the School of Mathematics and Computer Science, Leader of Young and Middle-aged Subjects in Zhejiang Universities, Director of Zhejiang Mathematical Society, Director of Zhejiang Youth Science Association , American Mathematical Review commentator. More than 10 masters and doctors have been trained. The main research areas are nonlinear analysis and elliptic partial differential equations. Mainly focus on and study the existence, asymptotic behavior and concentration properties of solutions of non-local elliptic partial differential equations (groups); classification of solutions to non-local Lane-Emden equations and related problems; differentiation with strong indefinite variational structure The existence and concentration of the solution of the equation.