CCOR Optimization Seminar

Csaba Farkas, professor at Sapientia Hungarian University of Transylvania, will hold a
presentation entitled “Compact Sobolev embeddings on non-compact manifolds with
” at the CCOR Optimization Seminar.

The date of the seminar is:
September 13, 13:40-15:10
It will be organized in a hybrid way, you can attend in person in room C207, or connect
online via Zoom.

The abstract of the seminar:
Given a complete non-compact Riemannian manifold (M, g) with certain curvature
restrictions, in this talk we introduce an expansion condition concerning a group of
isometries G of (M, g) that characterizes the coerciveness of G in the sense of Skrzypczak
and Tintarev (Arch Math 101(3): 259–268, 2013). Furthermore, under these conditions,
compact Sobolev-type embeddings à la Berestycki-Lions are proved for the full range of
admissible parameters (Sobolev, Moser-Trudinger and Morrey). We also consider the case
of non-compact Randers-type Finsler manifolds with finite reversibility constant inheriting
similar embedding properties as their Riemannian companions; sharpness of such
constructions are shown by means of the Funk model. As an application, a quasilinear
PDE on Randers spaces is studied by using the above compact embeddings and
variational arguments.

You can inquire about the possibility of connecting online at the email address

We encourage all interested colleagues to participate at this interesting event.

Leave a Reply

Your email address will not be published. Required fields are marked *