Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers
type: Item
instance of: scholarly article
title: Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers
zbMATH Open document ID: 0804.35097
DOI: 10.1007/BF01459787
published in: Mathematische Annalen
publication date: 1994-11-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165212
review text: The paper deals with the distribution of eigenvalues for nonsmooth degenerate elliptic operators in bounded domains. This problem is reduced to estimates of the entropy numbers of some embeddings between function spaces of Sobolev type. Secondly, based on the same techniques and on the Birman-Schwinger principle, the ``negative'' spectrum of some elliptic operators is studied.
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 683147
zbMATH Keywords: negative spectrum
zbMATH Keywords: degenerate elliptic operators
zbMATH Keywords: entropy numbers
zbMATH Keywords: Birman-Schwinger principle
author: D. E. Edmunds
author: Hans Triebel
MaRDI profile type: Publication
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OpenAlex ID: W1969673413
description: scientific article; zbMATH DE number 683147