Sweers, Guido 
ORCID: 0000-0003-0180-5890
(2016).
An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign.
Arch. Math., 107 (1).
S. 59 - 63.
BASEL:
SPRINGER BASEL AG.
ISSN 1420-8938
Abstract
The conjecture named after Boggio and Hadamard that a biharmonic Green function on convex domains is of fixed sign is known to be false. One might ask what happens for the triharmonic Green function on convex domains. On disks and balls it is known to be positive. We will show that also this Green function is not positive on some eccentric ellipse.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-271020 | ||||||||
| DOI: | 10.1007/s00013-016-0909-z | ||||||||
| Journal or Publication Title: | Arch. Math. | ||||||||
| Volume: | 107 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | S. 59 - 63 | ||||||||
| Date: | 2016 | ||||||||
| Publisher: | SPRINGER BASEL AG | ||||||||
| Place of Publication: | BASEL | ||||||||
| ISSN: | 1420-8938 | ||||||||
| 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: |
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| Refereed: | Yes | ||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/27102 |
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