collaborators

7 papers

math.AP2026

Qualitative stability for a family of trace Sobolev inequalities

Robin Neumayer

The goal of this short note is to prove qualitative stability for a family of trace Sobolev inequalities first proven by Carlen \& Loss for and by Maggi and the author for $p…

math.AP2026

Minimizing clusters with prescribed asymptotic geometry

Robin Neumayer, Michael Novack, Anna Skorobogatova

We construct locally minimizing -clusters whose exterior interfaces are asymptotic to various prescribed singular area-minimizing cones. For , Bronsard & Novack…

math.AP2025

Quantitative estimates for the relative isoperimetric problem and its gradient flow outside convex bodies in the plane

Elena Mäder-Baumdicker, Robin Neumayer, Jiewon Park +1

We prove three related quantitative results for the relative isoperimetric problem outside a convex body in the plane: (1) Łojasiewicz estimates and quantitative rigidity for…

math.AP2025

Rigidity of critical points of hydrophobic capillary functionals

Antonio De Rosa, Robin Neumayer, Reinaldo Resende

We prove the rigidity, among sets of finite perimeter, of volume-preserving critical points of the capillary energy in the half space, in the case where the prescribed interior con…

math.AP2025

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds

Antonio De Rosa, Robin Neumayer

Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbati…

math.AP2025

Quantitative Resolvent and Eigenfunction Stability for the Faber-Krahn Inequality

Mark Allen, Dennis Kriventsov, Robin Neumayer

For a bounded open set with the same volume as the unit ball, the classical Faber-Krahn inequality says that the first Dirichlet eigenvalue of t…