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Nonlinear Analysis

A perturbation approach for Paneitz energy on standard three sphere

Fengbo Hang, Courant Institute

Location:  Hill 705
Date & time: Wednesday, 25 April 2018 at 10:30AM - 12:00PM

Abstract: Many years ago Yang-Zhu proved the Sobolev inequality for fourth order Paneitz operator on the standard three sphere. Here we will discuss a new proof in the spirit of subcritical approximation in the classical Yamabe problem. The solution to the perturbed problem provides a new example of symmetrization for higher order variational functionals. We will also describe a possible Liouville type statement which remains an open question.