Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators

Autor:	Leszek Skrzypczak, Hans-Gerd Leopold
Rok vydání:	2013
Předmět:	Mathematics::Functional Analysis Elliptic operator Compact space Distribution (number theory) Function space General Mathematics Bounded function Mathematical analysis Mathematics::Classical Analysis and ODEs Operator theory Eigenvalues and eigenvectors Mathematics
Zdroj:	Proceedings of the Edinburgh Mathematical Society. 56:829-851
ISSN:	1464-3839 0013-0915
DOI:	10.1017/s0013091513000333
Popis:	We prove sufficient and necessary conditions for compactness of the Sobolev embeddings of Besov and Triebel–Lizorkin spaces defined on bounded and unbounded uniformly E-porous domains. The asymptotic behaviour of the corresponding entropy numbers is calculated. Some applications to the spectral properties of elliptic operators are described.
Databáze:	OpenAIRE
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