Geodesic
A new approach to two overdetermined eigenvalue problems of Pompeiu type
Thierry Chatelain1
1CNRS-Equipe de Mathématiques Université de Franche-Comté U 16, route de Gray 25030 Besançon, France
ESAIM. Proceedings, Tome 2 (1997), pp. 235-241

Voir la notice de l'article provenant de la source EDP Sciences

We are interested in two overdetermined problems in spectral theory, known as Schiffer's conjectures and related to the Pompeiu problem. We show the connection between these problems and the critical points of the eigenvalue functional with a volume constraint. In two dimensions, we use this fact to establish an integral identity satisfied by a conformal map.
DOI : 10.1051/proc:1997007

Thierry Chatelain  1

1 CNRS-Equipe de Mathématiques Université de Franche-Comté U 16, route de Gray 25030 Besançon, France 
Thierry Chatelain. A new approach to two overdetermined eigenvalue problems of Pompeiu type. ESAIM. Proceedings, Tome 2 (1997), pp. 235-241. doi: 10.1051/proc:1997007
@article{EP_1997_2_a17,
     author = {Thierry Chatelain},
     title = {A new approach to two overdetermined eigenvalue problems of {Pompeiu} type},
     journal = {ESAIM. Proceedings},
     pages = {235--241},
     year = {1997},
     volume = {2},
     doi = {10.1051/proc:1997007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1997007/}
}
TY  - JOUR
AU  - Thierry Chatelain
TI  - A new approach to two overdetermined eigenvalue problems of Pompeiu type
JO  - ESAIM. Proceedings
PY  - 1997
SP  - 235
EP  - 241
VL  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1997007/
DO  - 10.1051/proc:1997007
LA  - en
ID  - EP_1997_2_a17
ER  - 
%0 Journal Article
%A Thierry Chatelain
%T A new approach to two overdetermined eigenvalue problems of Pompeiu type
%J ESAIM. Proceedings
%D 1997
%P 235-241
%V 2
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1997007/
%R 10.1051/proc:1997007
%G en
%F EP_1997_2_a17

Cité par Sources :