199 citations · 199 across the 2 of their papers we have counts for
2 papers
math.AP2012
A global existence result for the semigeostrophic equations in three dimensional convex domains
Luigi Ambrosio, Maria Colombo, Guido De Philippis +1
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distribution…
math.FA2010★ 199 cited
Gamma-convergence of nonlocal perimeter functionals
Luigi Ambrosio, Guido De Philippis, Luca Martinazzi
We prove that certain non-local functionals defined on measurable sets Gamma-converge to the perimeter in the sense of De Giorgi.