Grunau, Hans-Christoph ORCID: 0000-0002-5343-1934 and Sweers, Guido ORCID: 0000-0003-0180-5890 (2014). In any dimension a clamped plate with a uniform weight may change sign. Nonlinear Anal.-Theory Methods Appl., 97. S. 119 - 125. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1873-5215
Full text not available from this repository.Abstract
Positivity preserving properties have been conjectured for the bilaplace Dirichlet problem in many versions. In this note we show that in any dimension there exist bounded smooth domains Omega such that even the solution Delta(2)u = 1 in Omega with the homogeneous Dirichlet boundary conditions u = u. = 0 on. partial derivative Omega is sign-changing. In two dimensions this corresponds to the Kirchhoff-Love model of a clamped plate with a uniform weight. (C) 2013 Elsevier Ltd. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-445615 | ||||||||||||
DOI: | 10.1016/j.na.2013.11.017 | ||||||||||||
Journal or Publication Title: | Nonlinear Anal.-Theory Methods Appl. | ||||||||||||
Volume: | 97 | ||||||||||||
Page Range: | S. 119 - 125 | ||||||||||||
Date: | 2014 | ||||||||||||
Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | ||||||||||||
Place of Publication: | OXFORD | ||||||||||||
ISSN: | 1873-5215 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||||||
Subjects: | no entry | ||||||||||||
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/44561 |
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