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math.AP2026
Weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders
Friedemann Brock, Francesco Chiacchio, Adele Ferone +1
In this paper weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders are proved. A weighted isoperimetric inequality is also obtained.
math.AP2026
Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights
Friedemann Brock, Francesco Chiacchio
We study the following class of Steklov eigenvalue problems: \[ \nabla \cdot \bigl( w \nabla u \bigr) = 0 \quad \text{in } Ω, \qquad \frac{\partial u}{\partial ν} = γv u \quad \…
math.AP2025
On the reverse isoperimetric inequality in Gauss space
Friedemann Brock, Francesco Chiacchio
In this paper we investigate the reverse isoperimetric inequality with respect to the Gaussian measure for convex sets in . While the isoperimetric problem for the…