Cherrier-Escobar problem for the elliptic Schroedinger-to-Neumann map
Analysis of PDEs
2022-07-27 v2 Differential Geometry
Abstract
In this paper, we study a Cherrier-Escobar problem for the extended problem corresponding to the elliptic Schroedinger-to-Neumann map on a compact 3-dimensional Riemannian manifold with boundary. Using the algebraic topological argument of Bahri-Coron, we show solvability under the assumption that the extended problem corresponding to the elliptic Schroedinger-to-Neumann map has a positive first eigenvalue, a positive Green function, and also verifies the strong maximum principle.
Cite
@article{arxiv.2206.08838,
title = {Cherrier-Escobar problem for the elliptic Schroedinger-to-Neumann map},
author = {Mohammed Aldawood and Cheikh Birahim Ndiaye},
journal= {arXiv preprint arXiv:2206.08838},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2202.05147