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math.AP2011★ 18 cited
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…
math.AP2011★ 18 cited
n-Harmonic mappings between annuli
Tadeusz Iwaniec, Jani Onninen
The central theme of this paper is the variational analysis of homeomorphisms $h\colon \mathbb X \onto \mathbb Y$ between two given domains $\mathbb X, \mathbb Y \subset \mathbb R^…