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Escobar constants of planar domains

Differential Geometry 2021-09-21 v3 Analysis of PDEs Optimization and Control

Abstract

We initiate the study of the higher-order Escobar constants Ik(M)I_k(M), k3k\geq 3, on bounded planar domains MM. The Escobar constants IkI_k of the unit disk and a family of polygons are provided.

Keywords

Cite

@article{arxiv.1905.07634,
  title  = {Escobar constants of planar domains},
  author = {Asma Hassannezhad and Anna Siffert},
  journal= {arXiv preprint arXiv:1905.07634},
  year   = {2021}
}

Comments

18 pages