Escobar constants of planar domains

Asma Hassannezhad, Anna Siffert*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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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 languageEnglish
Pages (from-to) 215–233
JournalAnnals of Global Analysis and Geometry
Volume61
Early online date22 Oct 2021
DOIs
Publication statusPublished - 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

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