Universität zu Köln

Grunau, Hans-Christoph ORCID: 0000-0002-5343-1934 and Sweers, Guido ORCID: 0000-0003-0180-5890 (2014). A CLAMPED PLATE WITH A UNIFORM WEIGHT MAY CHANGE SIGN. Discret. Contin. Dyn. Syst.-Ser. S, 7 (4). S. 761 - 767. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES-AIMS. ISSN 1937-1179

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Abstract

It is known that the Dirichlet bilaplace boundary value problem, which is used as a model for a clamped plate, is not sign preserving on general domains. It is also known that the corresponding first eigenfunction may change sign. In this note we will show that even a constant right hand side may result in a sign-changing solution.

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:38-433583
DOI:	10.3934/dcdss.2014.7.761
Journal or Publication Title:	Discret. Contin. Dyn. Syst.-Ser. S
Volume:	7
Number:	4
Page Range:	S. 761 - 767
Date:	2014
Publisher:	AMER INST MATHEMATICAL SCIENCES-AIMS
Place of Publication:	SPRINGFIELD
ISSN:	1937-1179
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; GREEN-FUNCTION; POSITIVITY; EQUATION Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/43358