Volume 2, 1997Elasticity, viscoelasticity and optimal control
|Page(s)||235 - 241|
|Published online||15 August 2002|
A new approach to two overdetermined eigenvalue problems of Pompeiu type
CNRS-Equipe de Mathématiques Université de Franche-Comté U 16, route de Gray 25030 Besançon, France
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.
© EDP Sciences, ESAIM, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.