A Bahri-Brezis type problem on asymptotically hyperbolic manifolds

Mohammed Aldawood

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arXiv · 2306.05516

A Bahri-Brezis type problem on asymptotically hyperbolic manifolds

Mohammed Aldawood

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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.

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Mohammed Aldawood. 2023-06-08. A Bahri-Brezis type problem on asymptotically hyperbolic manifolds. https://arxiv.org/abs/2306.05516

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