57 citations · 233 across the 42 of their papers we have counts for
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Lipschitz regularity for inner-variational equations
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
We obtain Lipschitz regularity results for a fairly general class of nonlinear first-order PDEs. These equations arise from the inner variation of certain energy integrals. Even in…
Approximation up to the boundary of homeomorphisms of finite Dirichlet energy
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
Let X and Y be planar Jordan domains of the same finite connectivity, Y being inner chordarc regular (such are Lipschitz domains). Every homeomorphism h:X->Y in the Sobolev space $…
Quasisymmetric graphs and Zygmund functions
Leonid V. Kovalev, Jani Onninen
A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation a…