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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.FA2009
Asymptotic analysis of a second-order singular perturbation model for phase transitions
Marco Cicalese, Emanuele Nunzio Spadaro, Caterina Ida Zeppieri
We consider the problem of the asymptotic description of a family of energies introduced by Coleman and Mizel in the theory of nonlinear second-order materials depending on an extr…