Uniform anti-maximum principle for polyharmonic boundary value problems

Authors
Clement, P Sweers, G
Citation
P. Clement et G. Sweers, Uniform anti-maximum principle for polyharmonic boundary value problems, P AM MATH S, 129(2), 2000, pp. 467-474
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
2
Year of publication
2000
Pages
467 - 474
Database
ISI
SICI code
0002-9939(2000)129:2<467:UAPFPB>2.0.ZU;2-H
Abstract
A uniform anti-maximum principle is obtained for iterated polyharmonic Diri chlet problems. The main tool, combined with regularity results for weak so lutions, is an estimate for positive functions in negative Sobolev norms.