ON SOME 2ND-ORDER AND 4TH-ORDER ELLIPTIC OVERDETERMINED PROBLEMS

Authors
PHILIPPIN GA RAGOUB L
Citation
Ga. Philippin et L. Ragoub, ON SOME 2ND-ORDER AND 4TH-ORDER ELLIPTIC OVERDETERMINED PROBLEMS, Zeitschrift fur angewandte Mathematik und Physik, 46(2), 1995, pp. 188-197
Citations number
17
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
46
Issue
2
Year of publication
1995
Pages
188 - 197
Database
ISI
SICI code
0044-2275(1995)46:2<188:OS2A4E>2.0.ZU;2-K
Abstract
This paper deals with various overdetermined problems. In Sections 2 a nd 3 we investigate two problems involving the electrostatic potential confined in a region of R(3) bounded by two tubular conductors, and w e conclude under appropriate assumptions that the only possible config uration of the two conductors is two coaxial circular cylinders. In Se ction 4 we prove a conjecture of Payne and Schaefer for a fourth order overdetermined problem.