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Title: A new proof of the concentration-compactness principle of Trudinger-Moser inequality
Speaker: Jungang Li (University of Connecticut)
Time: Friday, September 28, 2018 at 1:30 pm
Place: MONT 313Abstract: The concentration-compactness principle plays a key role in the study of PDEs with critical growth. The classical proof of the concentration-compactness principle of Trudinger-Moser inequality depends on a rearrangement argument. In this talk I will give a rearrangement-free proof of such principle. This proof enables us to extend the related results to non-Euclidean spaces, e.g. Heisenberg Groups and Riemannian manifolds. This is a joint work with Prof. Guozhen Lu and Prof. Maochun Zhu.