ON THE APPROXIMATION NUMBERS OF SOBOLEV EMBEDDINGS FOR IRREGULAR DOMAINS

DOI10.1093/qmath/40.1.13zbMath0681.46033OpenAlexW2030020986MaRDI QIDQ4730302

Publication date: 1989

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/40.1.13

zbMATH Keywords

Sobolev space embedding two-sided estimates rooms and passages generalized ridged domain infinite spirals interlocking combs m-th approximation number Pathological boundaries unbounded trumpet- and horn-shaped domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (9)

``Blinking eigenvalues of the Steklov problem generate the continuous spectrum in a cuspidal domain ⋮ Bilinear embedding for divergence-form operators with complex coefficients on irregular domains ⋮ Embeddings, Hardy operators and nonlinear problems ⋮ The essential spectrum of Neumann Laplacians on some bounded singular domains ⋮ Spectral properties of Neumann Laplacian of horns ⋮ Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part ⋮ \(L^p\)-spectral independence of Neumann Laplacians on horn-shaped domains ⋮ Sobolev Embeddings and Hardy Operators ⋮ Fractals, trees and the Neumann Laplacian

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