Spectral problems on arbitrary open subsets of Rn involving the distance to the boundary
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摘要
We consider Sobolev spaces weighted by means of powers of the distance function, analyse their embeddings from the standpoint of approximation numbers, and give upper and lower estimates for the spectral counting function for naturally associated elliptic operators.
论文关键词：46E35,35J25,35P20,Approximation numbers,Sobolev spaces,Spectral counting function,Distance function
论文评审过程：Received 21 June 2004, Available online 18 August 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2005.06.013
