3 papers
math.AP2010
Best constants for the isoperimetric inequality in quantitative form
Marco Cicalese, Gian Paolo Leonardi
We prove existence and regularity of minimizers for a class of functionals defined on Borel sets in . Combining these results with a refinement of the selection principle intr…
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…
math-ph2009
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies
R. Alicandro, M. Cicalese, M. Ponsiglione
We introduce and discuss discrete two-dimensional models for XY spin systems and screw dislocations in crystals. We prove that, as the lattice spacing $\e$ tends to zero, the relev…