Universität zu Köln

Sweers, Guido ORCID: 0000-0003-0180-5890 and Vassi, Katerina (2018). POSITIVITY FOR A HINGED CONVEX PLATE WITH STRESS. SIAM J. Math. Anal., 50 (1). S. 1163 - 1175. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7154

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Abstract

The boundary value problem for the Kirchhoff Love model of a hinged elastic plate with stress is as follows: Delta(2)u - tau Delta u = f in Omega subset of R-2, u = Delta u - (1 - sigma) kappa u(nu) = 0 on partial derivative Omega with weight f is an element of L-2(Q), Poisson ratio sigma is an element of (-1,1), stress coefficient tau >= 0, and boundary curvature K. We will prove that this problem is positivity preserving on convex domains, meaning f >= 0 implies u >= 0. The proof relies on optimal estimates for a weighted first Steklov eigenvalue and on an application of the Krein Rutman theorem for an auxiliary problem. The case 7- = 0 has been studied by Parini and Stylianou [SIAM T. Math. Anal., 41 (2009), pp. 2031-2037].

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED Vassi, Katerina UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-203215
DOI:	10.1137/17M1138790
Journal or Publication Title:	SIAM J. Math. Anal.
Volume:	50
Number:	1
Page Range:	S. 1163 - 1175
Date:	2018
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7154
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 PRESERVING PROPERTY; ELLIPTIC-SYSTEMS; EIGENVALUE Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/20321