Nestor Guillen Department of Mathematics University of California at Los Angeles Office: MS 6903 Email: nestor@math.ucla.edu About >Research Teaching   171 290J Links Nonlocal Wiki

For an overall description of my research see my research statement (NSF grant DMS-1201413).

Publications and e-prints

2013

• Quasistatic droplet percolation, with Inwon Kim.




2012

• The local geometry of maps with c-convex potentials, with Jun Kitagawa.




2011

• Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations, with Russell Schwab.




2010

• Five lectures on optimal transportation: geometry, regularity and applications, with Robert McCann.


• The Stefan problem with Gibbs-Thomson law: Lipschitz implies smoothness. (My PhD thesis)


• Regularity for non-local almost minimal boundaries and applications, with Cristina Caputo.




2009

• Optimal regularity for the Signorini problem.

Research partially supported by the National Science Foundation.