A Bahri-Brezis type problem on asymptotically hyperbolic manifolds
Analysis of PDEs
2023-06-14 v2 Differential Geometry
Abstract
In this paper, we study a Bahri-Brezis type problem on a compact 3-dimensional asymptotically hyperbolic manifold. Using the celebrated Algebraic Topological argument of Bahri-Coron, we show the existence of at least one solution under the assumption that the corresponding degenerate boundary value problem has a positive first eigenvalue and a positive Green function.
Cite
@article{arxiv.2306.05516,
title = {A Bahri-Brezis type problem on asymptotically hyperbolic manifolds},
author = {Mohammed Aldawood},
journal= {arXiv preprint arXiv:2306.05516},
year = {2023}
}
Comments
36 pages. arXiv admin note: substantial text overlap with arXiv:2206.08838, arXiv:2202.05147; text overlap with arXiv:1701.05919 by other authors