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

Full text not available from this repository.

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:
CreatorsEmailORCIDORCID Put Code
De Coster, ColetteUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Nicaise, SergeUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Sweers, GuidoUNSPECIFIEDorcid.org/0000-0003-0180-5890UNSPECIFIED
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: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
BIHARMONIC PROBLEMS; BOUNDARY-VALUE; DOMAINSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/12495

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item