Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Grunau, Hans-Christoph UNSPECIFIED orcid.org/0000-0002-5343-1934 UNSPECIFIED Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language DIRICHLET BOUNDARY-CONDITIONS; POSITIVITY; EQUATIONS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/44561