Scientific interests

Partial differential equationsDifferential geometryCalculus of variationsMathematical physicsInverse problems
Equations from differential geometry like Monge-Ampere equations, Minimal surface equations
a-priori estimates, local behavior
two dimensional and higher dimensional methods
Surfaces with given curvature like convex surfaces and minimal surfaces
Regularity theory
Unique continuation and local behavior of solutions
Asymptotic regularity