11 citations · 14 across the 2 of their papers we have counts for
3 papers
math.AP2005★ 3 cited
Some multi-valued solutions to Monge-Ampere equations
Luis Caffarelli, YanYan Li
We construct several types of multi-valued solutions to the Monge-Ampere equation in higher dimensions.
math.AP2002★ 11 cited
Non linear elliptic theory and the Monge-Ampere equation
Luis A. Caffarelli
The Monge-Ampere equation, plays a central role in the theory of fully non linear equations. In fact we will like to show how the Monge-Ampere equation, links in some way the ideas…
math.AP2000
Regularity of a free boundary with application to the Pompeiu problem
Luis A. Caffarelli, Lavi Karp, Henrik Shahgholian
In the unit ball B(0,1), let and (a domain in ) solve the following overdetermined problem: $$Δu =χ_Ω\quad \hbox{in} B(0,1), \qquad 0 \in \partial Ω, \qquad u=|\nabla u…