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arXiv · 2202.05147

The Brezis-Nirenberg problem on non-contractible bounded domains of R^3

Mohammed Aldawood·Cheikh Birahim Ndiaye
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Abstract

In this paper, we study the Brezis-Nirenberg problem on bounded smooth domains of R3. Using the algebraic topological argument of Bahri-Coron[2] as implemented in [6] combined with the Brendle[4]- Schoen[8]'s bubble construction, we solve the problem for non-contractible domains.

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Mohammed Aldawood, Cheikh Birahim Ndiaye. 2022-02-10. The Brezis-Nirenberg problem on non-contractible bounded domains of R^3. https://arxiv.org/abs/2202.05147

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