Abstract
Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
van den Berg, M; Bolthausen, E (1999). Estimates for Dirichlet eigenfunctions. Journal- London Mathematical Society, 59(2):607-619.
Abstract
Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | logarithmic capacity, uniform capacity density |
| Language: | English |
| Date: | 1999 |
| Deposited On: | 30 Apr 2010 08:38 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Oxford University Press |
| ISSN: | 0024-6107 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1112/S0024610799007267 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1709668 http://www.zentralblatt-math.org/NEW/zmath/search/?q=an%3A0938.35048 |
van den Berg, M