The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
First we recall a Faber-Krahn type inequality and an estimate for in terms of the so-called Cheeger constant. Then we prove that the eigenvalue converges to the Cheeger constant as . The associated eigenfunction converges to the characteristic function of the Cheeger set, i.e. a subset of which minimizes the ratio among all simply connected . As a byproduct we prove that for convex the Cheeger set is also convex.
Download Results (CSV)