57 citations · 233 across the 42 of their papers we have counts for
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math.CA2008★ 15 cited
On Invertibility of Sobolev Mappings
Leonid V. Kovalev, Jani Onninen
We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results…
math.CA2008★ 1 cited
Dynamics of quasiconformal fields
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
A uniqueness theorem is established for autonomous systems of ODEs, , where is a Sobolev vector field with additional geometric structure, such as delta-monoticit…
math.CA2006
Doubling measures, monotonicity, and quasiconformality
Leonid V. Kovalev, Diego Maldonado, Jang-Mei Wu
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that…