Hajlasz’s Research

Hajlasz’s research is focused on the theory of Sobolev spaces with applications to various areas like the theory of quasiconformal mappings, calculus of variations, regularity of nonlinear elliptic PDEs, and Carnot-Caratheodory spaces. He is particularly interested in analysis on metric spaces, including the theory of Sobolev spaces on metric spaces. Recently, Hajlasz has been interested in the theory of Sobolev mappings between manifolds and metric spaces. This includes questions about density of smooth and Lipschitz mappings with connection topology of spaces and also regularity theory for p-harmonic mappings between manifolds.

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