论文标题

r^3的非取消有限域上的brezis-nirenberg问题

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

论文作者

Aldawood, Mohammed, Ndiaye, Cheikh Birahim

论文摘要

在本文中,我们研究了R3的有限平滑域上的布雷兹 - 尼伦贝格问题。使用[6]中实现的Bahri-Coron [2]的代数拓扑论点与Brendle [4] -Schoen [8]的气泡结构相结合,我们解决了非合同域的问题。

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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