CCOR Optimization Seminar

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.