activity
20242026
most citedA note on the Winterbottom shape

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2026

Discrete Quantitative Isocapacitary Inequality: Fluctuation Estimates

Marco Cicalese, Leonard Kreutz, Imteyaz Mansoor

The classical isocapacitary inequality states that, among all sets of fixed volume, the ball uniquely minimizes the capacity. While this result holds in the continuum, it fails in…

math.FA2025

The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in

Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi +1

While the classical Faber-Krahn inequality shows that the ball uniquely minimizes the first Dirichlet eigenvalue of the Laplacian in the continuum, this rigidity may fail in the di…

math.AP2025

Second-Order -Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, II

Irene Fonseca, Leonard Kreutz, Giovanni Leoni

This paper continues the study of the asymptotic development of order 2 by -convergence of the Cahn-Hilliard functional with Dirichlet boundary conditions initiated in [8]. Whi…

math.AP2025

Second-Order -Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, I

Irene Fonseca, Leonard Kreutz, Giovanni Leoni

This paper addresses the asymptotic development of order 2 by the -convergence of the Cahn-Hilliard functional with Dirichlet boundary conditions. The Dirichlet data are assume…

math.AP2024★ 1 cited

A note on the Winterbottom shape

Leonard Kreutz, Bernd Schmidt

In this short note we review results on equilibrium shapes of minimizers to the sessile drop problem. More precisely, we study the Winterbottom problem and prove that the Winterbot…