4 papers
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 assum…
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…
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]. Wh…
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…