Quasiconformal geometry of monotone mappings

DOI10.1112/jlms/jdm008zbMath1134.47038OpenAlexW1983200699MaRDI QIDQ5294142

Leonid V. Kovalev

Publication date: 23 July 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdm008

zbMATH Keywords

open mappingmonotone mappingquasisymmetric mapping\(\delta\)-monotone mappinglocally Hölder continuous mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Monotone operators and generalizations (47H05) Second-order elliptic equations (35J15)

Related Items (13)

Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform ⋮ Doubling measures, monotonicity, and quasiconformality ⋮ Bi-Lipschitz embedding of projective metrics ⋮ Quasisymmetric graphs and Zygmund functions ⋮ Weakly quasisymmetric mappings and uniform domains on generalized Grushin planes ⋮ A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form ⋮ Lipschitz regularity for solutions of a general class of elliptic equations ⋮ Dynamics of quasiconformal fields ⋮ On certain degenerate and singular elliptic PDEs. II: Divergence-form operators, Harnack inequalities, and applications ⋮ Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature ⋮ Factorization of delta-monotone linear mappings ⋮ Removable sets for intrinsic metric and for holomorphic functions ⋮ Improved Hölder regularity for strongly elliptic PDEs

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