On the Approximation Numbers of Sobolev Embeddings on Singular Domains and Trees
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چکیده
Upper and lower bounds are determined for a function which counts the approximation numbers of the Sobolev embedding W 1,p( )/C ↪→ L p( )/C, for a wide class of domains of finite volume in Rn and 1 < p < ∞. Results on the distribution of the eigenvalues of the Neumann Laplacian in L2( ) are special consequences. We dedicate this paper to Jerry Goldstein on his 60th birthday.
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تاریخ انتشار 2003