南方科技大学 // 数学系 // 学术会议 English

数学大讲堂

1970/01/01-1970/01/01

Classification of solutions for polyharmonic equations and systems with critical exponent

In this talk, I will talk about the exisitence and non-existence of solutions for a class of polyharmonic equations and systems with critical exponent. We give complete classification for existence and non-existence of positive solutions. We also discuss the existence of other solutions, such as sign-changing solutions.