报告人：葛宇新 教授（巴黎第十二大学数学系)
题目: A critical elliptic problem for polyharmonic operators
时间: 七月二十六日(周一) 下午 3:10 - 4:00
地点: 闵行校区 数学楼 102 室

Resume:
We study the existence of solutions for a critical
elliptic problem for polyharmonic operators. We prove the existence
result in some general domain by minimizing on some
infinite-dimensional Finsler manifold for some suitable perturbation
of the critical nonlinearity when the dimension of domain is larger
than critical one. For the critical dimensions, we
prove also the existence of solutions in domains perforated with the
small holes. Some unstable solutions are obtained at higher level
sets by Coron's topological method, provided that the minimizing
solution does not exist.