The Brezis–Nirenberg type problem involving the square root of the Laplacian

The Brezis–Nirenberg type problem involving the square root of the Laplacian
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DOI:
10.1007/s00526-010-0378-3
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发表时间:
2011-09
影响因子:
2.1
通讯作者:
Jinggang Tan
Jinggang Tan
中科院分区:
数学2区
文献类型:
--
作者:
Jinggang Tan

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在Dirichlet边界条件为零的有界区域上,建立了涉及Laplacian平方根的Brezis-Nirenberg型问题解的存在性和不存在性结果.
We establish existence and non-existence results to the Brezis-Nirenberg type problem involving the square root of the Laplacian in a bounded domain with zero Dirichlet boundary condition.