Diff. Geom, Math. Phys., PDE Seminar: Jun-Cheng Wei
Topic
On Fractional Minimal Surfaces
Speakers
Details
We consider fractional minimal surfaces introduced by Caffarelli, Roquejoffre and Savin (2009). Up to now the only examples of fractional minimal surfaces are hyperplanes. In this talk, we first prove the existence of the analog of fractional Lawson's minimal cones and establish their stability/instability in low dimensions. In particular we find that there are stable fractional minimal cones in dimension 7, in contrast with the case of classical minimal surfaces. Then we prove the existence of fractional catenoids and fractional Costa-Hoffman-Meeks surfaces. Interestingly the interaction of planes in fractional minimal surfaces is governed by an nonlinear elliptic equation with negative power which arises in the study of MEMS. (Joint work with J. Davila and M. del Pino.)
Additional Information
Location: ESB 2012
Jun-Cheng Wei, UBC
Jun-Cheng Wei, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
October 29, 2013
Time
-
Location