3 papers
math.AP2011
Center Manifold: a case study
Camillo De Lellis, Emanuele Nunzio Spadaro
Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,α} regularity of area-minimizing currents in the neighborhood of points of d…
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.AP2009
Complex varieties and higher integrability of Dir-minimizing Q-valued functions
Emanuele Nunzio Spadaro
We provide new elementary proofs of the following two results: every complex variety is locally the graphs of a Dir-minimizing function, first proved by Almgren; the gradients of D…