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.
Lingua originale | English |
---|---|
pagine (da-a) | 1317-1337 |
Numero di pagine | 21 |
Rivista | Communications in Partial Differential Equations |
Volume | 34 |
Stato di pubblicazione | Published - 2009 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2603???
- ???subjectarea.asjc.2600.2604???