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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 applications” at the CCOR Optimization Seminar.
2022.09.13. 13:40 – 2022.09.13. 15:10
1093. Budapest, Corvinus University
C207 and Zoom
Information: marianna.eisenberg-nagy@uni-corvinus.hu

Kapcsolódó elérhetőségek

Kapcsolódó hírek

Kapcsolódó események

Corvinus Épület

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.

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GEN.:2024.05.23. - 13:20:22