4 papers
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…
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]. 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…