97 citations · 198 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
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…
Lower semicontinuous functionals for Almgren's multiple valued functions
Camillo De Lellis, Matteo Focardi, Emanuele Nunzio Spadaro
We consider general integral functionals on the Sobolev spaces of multiple valued functions, introduced by Almgren. We characterize the semicontinuous ones and recover earlier resu…
Higher integrability and approximation of minimal currents
Camillo De Lellis, Emanuele Nunzio Spadaro
We give a new, simpler proof of the main approximation theorem for area minimizing current contained in Almgren's Big regularity paper. Our proof relies on a new estimate concernin…