University of Texas-Austin
Constraint methods for nonlinear homogenization
in periodic and random
media, Parts I and II.
In these lectures we will discuss how to apply the geometric
properties of
solutions to elliptic problems with constraint to two
different classical
homogenization problems, the first the construction of
plane like minimal
surfaces in periodic media (work in collaboration with
de la Llave), and
the second, the homogenization limit of solutions to
fully nonlinear equations
with random space dependance ( work in collaboration
with Souganidis and L. Wang).