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

Eigenvalues Symmetry Unique continuation and local behavior of solutions

Asymptotic regularity