4 papers · 1 filter
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…
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…
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…
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…