Csaba Farkas, professor at Sapientia Hungarian University of Transylvania, will hold a
presentation entitled “Compact Sobolev embeddings on non-compact manifolds with
applications” 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
marianna.eisenberg-nagy@uni-corvinus.hu.
We encourage all interested colleagues to participate at this interesting event.