学术报告：Existence, non-existence and uniqueness of blow-up solutions of a class elliptic equations

中科院数学与系统科学研究院

数学研究所

Workshop on Variational Methods and

Nonlinear Partial Differential Equations

报告题目：Existence, non-existence and uniqueness of blow-up solutions of a class elliptic equations

报告人：Dr. Jiazheng Zhou（University of Brasilia, Brazil）

地点：数学院南楼N818室

时间：9月30日，星期三，下午2:30-3:30

Abstract：We will present some results on the Existence, non-existence and uniqueness of blow-up solutions of a class elliptic equations. To show the existence of solutions, prove a comparison theorem and combined with approximation arguments. To show the non-existence of solution, we follow an idea due to Mitidieri–Pohozaev through careful construction of a test function. The uniqueness, we combine a comparison principle together with the result of existence ofsolutions.