Universität zu Köln

De Coster, Colette, Nicaise, Serge and Sweers, Guido ORCID: 0000-0003-0180-5890 (2019). Comparing variational methods for the hinged Kirchhoff plate with corners. Math. Nachr., 292 (12). S. 2574 - 2602. WEINHEIM: WILEY-V C H VERLAG GMBH. ISSN 1522-2616

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Abstract

The hinged Kirchhoff plate model contains a fourth order elliptic differential equation complemented with a zeroeth and a second order boundary condition. On domains with boundaries having corners the strong setting is not well-defined. We here allow boundaries consisting of piecewise C-2,C-1-curves connecting at corners. For such domains different variational settings will be discussed and compared. As was observed in the so-called Saponzhyan-Babushka paradox, domains with reentrant corners need special care. In that case, a variational setting that corresponds to a second order system needs an augmented solution space in order to find a solution in the appropriate Sobolev-type space.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code De Coster, Colette UNSPECIFIED UNSPECIFIED UNSPECIFIED Nicaise, Serge UNSPECIFIED UNSPECIFIED UNSPECIFIED Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-124953
DOI:	10.1002/mana.201800092
Journal or Publication Title:	Math. Nachr.
Volume:	292
Number:	12
Page Range:	S. 2574 - 2602
Date:	2019
Publisher:	WILEY-V C H VERLAG GMBH
Place of Publication:	WEINHEIM
ISSN:	1522-2616
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 BIHARMONIC PROBLEMS; BOUNDARY-VALUE; DOMAINS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12495