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Scientific Interests - Analysis and Geometry

Partial differential equations Equations from differential geometry like Monge-Ampere equations, Minimal surface equations
a-priori estimates, local behavior
two dimensional and higher dimensional methods
Differential geometry Surfaces with given curvature like convex surfaces and minimal surfaces
Calculus of variations Regularity theory
Mathematical physics Eigenvalues
Symmetry
Unique continuation and local behavior of solutions
Inverse problems Asymptotic regularity