Sharp estimates for eigenfunctions of a Neumann problem
- Authors: Brandolini B.; Chiacchio F.; Trombetti C.
- Publication year: 2009
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/493997
Abstract
In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.