Approximation numbers of Sobolev imbeddings over unbounded domains

DOI10.1016/0022-1236(78)90047-2zbMath0402.46023OpenAlexW1965862118MaRDI QIDQ1255669

Hermann Koenig

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90047-2

zbMATH Keywords

Elliptic OperatorsDirichlet Boundary ConditionsApproximation NumbersEmbeddingsGel'Fand NumbersKolomogoroff NumbersSobolev Spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Related Items (5)

Embeddings of anisotropic Sobolev spaces on unbounded domains ⋮ Subradial functions and compact embeddings ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators ⋮ The spectral remainder estimates for non-isotropic polyharmonic operators on bounded and quasibounded domains ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II.

Cites Work

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• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
• Some Imbedding Theorems for Sobolev Spaces

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