Abstract
We initiate the study of the higher-order Escobar constants $I_k(M)$, $k\geq 3$, on bounded planar domains $M$. The Escobar constants $I_k$ of the unit disk and a family of polygons are provided.
Original language | English |
---|---|
Pages (from-to) | 215–233 |
Journal | Annals of Global Analysis and Geometry |
Volume | 61 |
Early online date | 22 Oct 2021 |
DOIs | |
Publication status | Published - 1 Mar 2022 |
Bibliographical note
Funding Information:The authors are grateful to anonymous referees for their helpful comments which improved the presentation of the paper. The authors would like to thank the Max Planck Institute for Mathematics in Bonn (MPIM) and the University of Bristol for the hospitality and supporting a research visit of A. H. and of A. S., respectively. A. H. is partially supported by the EPSRC grant EP/T030577/1. A. S. gratefully acknowledges the supports of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project-ID 427320536—SFB 1442, as well as Germany’s Excellence Strategy EXC 2044 390685587, Mathematics Münster: Dynamics-Geometry-Structure.
Publisher Copyright:
© 2021, The Author(s).
Keywords
- math.DG
- math.AP
- math.OC