| Abstract: |
| We consider the eigenvalue problem for the Laplace operator associated
to an holed domain with Robin boundary condition on the external
boundary and Neumann boundary condition on the internal one. Since the
spherical shell is the only maximizer for the first Robin-Neumann
eigenvalue in the class of domains with fixed outer perimeter and
volume, we want to establish a quantitative version of the
afore-mentioned isoperimetric inequality. This is a joint work with
Simone Cito and Gianpaolo Piscitelli |
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