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Geometric Analysis and Partial Differential Equations Seminar
August 21, 2014 @ 10:30 am - 11:30 pm
Dr Glen Wheeler (University of Wollongong)
Unstable Willmore Surfaces
In this talk I will describe some recent work with Anna Dall’Acqua (Ulm) and Klaus Deckelnick (OvGU Magdeburg) that established the existence of compact Willmore surfaces with boundary that are unstable. The natural approach of using Palais-Smale and Mountain Pass doesn’t (really) work. I’ll explain why this is the case. We overcame this problem by using a completely different (and new) approach. I will finish by describing some open questions arising from the work.