Leonid Kovalev

About

Work

Syracuse University
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Professor

US

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Texas A&M University
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Visiting Assistant Professor

US

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Education

Washington University in Saint Louis
United States of America

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Ph.D.

Publications

A sharp bound on the number of self-intersections of a trigonometric curve

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Journal of Mathematical Analysis and Applications

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Anti-absorbing ternary operations on metric spaces

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Topology and its Applications

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Anti-absorbing ternary operations on metric spaces

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Topology and its Applications

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A sharp bound on the number of self-intersections of a trigonometric curve

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Journal of Mathematical Analysis and Applications

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Lipschitz means and mixers on metric spaces

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Illinois Journal of Mathematics

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SELF-INTERSECTIONS OF LAURENT POLYNOMIALS AND THE DENSITY OF JORDAN CURVES

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Proceedings of the American Mathematical Society

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Continuity of logarithmic capacity

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Journal of Mathematical Analysis and Applications

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Lipschitz Clustering in Metric Spaces

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Journal of Geometric Analysis

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Lipschitz Clustering in Metric Spaces

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The Journal of Geometric Analysis

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Continuity of logarithmic capacity

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Journal of Mathematical Analysis and Applications

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Extreme values of the derivative of Blaschke products and hypergeometric polynomials

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Bulletin des Sciences Mathematiques

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Extreme values of the derivative of Blaschke products and hypergeometric polynomials

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Bulletin des Sciences Mathématiques

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Growth rate of Lipschitz constants for retractions between finite subset spaces

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Studia Mathematica

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ALGEBRAIC STRUCTURE OF THE RANGE OF A TRIGONOMETRIC POLYNOMIAL

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Bulletin of the Australian Mathematical Society

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Algebraic structure of the range of a trigonometric polynomial

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Bulletin of the Australian Mathematical Society

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Algebraic structure of the range of a trigonometric polynomial

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Bulletin of the Australian Mathematical Society

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Circle embeddings with restrictions on Fourier coefficients

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Journal of Mathematical Analysis and Applications

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Circle embeddings with restrictions on Fourier coefficients

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Journal of Mathematical Analysis and Applications

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Circle embeddings with restrictions on Fourier coefficients

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Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

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Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

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Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

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Journal of Mathematical Analysis and Applications

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Optimal extension of Lipschitz embeddings in the plane

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Bulletin of the London Mathematical Society

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Fourier Series of Circle Embeddings

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Computational Methods and Function Theory

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Fourier Series of Circle Embeddings

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Computational Methods and Function Theory

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Optimal extension of Lipschitz embeddings in the plane

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Bulletin of the London Mathematical Society

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Removable sets for intrinsic metric and for holomorphic functions

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Journal d'Analyse Mathematique

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Removable sets for intrinsic metric and for holomorphic functions

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Journal d'Analyse Mathematique

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Uniform convergence of Green’s functions

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Complex Variables and Elliptic Equations

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Uniform convergence of Green’s functions

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Complex Variables and Elliptic Equations

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On the existence of harmonic mappings between doubly connected domains

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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On the existence of harmonic mappings between doubly connected domains

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Symmetrization and extension of planar bi-Lipschitz maps

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Annales Academiae Scientiarum Fennicae Mathematica

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Symmetrization and extension of planar bi-Lipschitz maps

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Annales Academiae Scientiarum Fennicae Mathematica

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

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Potential Analysis

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

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Potential Analysis

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

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Potential Analysis

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Lipschitz retraction of finite subsets of Hilbert spaces

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Bulletin of the Australian Mathematical Society

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Lipschitz retraction of finite subsets of Hilbert spaces

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Bulletin of the Australian Mathematical Society

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Lipschitz retractions in Hadamard spaces via gradient flow semigroups

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Canadian Mathematical Bulletin

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Lipschitz retractions in Hadamard spaces via gradient flow semigroups

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Canadian Mathematical Bulletin

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Symmetric products of the line: Embeddings and retractions

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Proceedings of the American Mathematical Society

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Symmetric products of the line

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Proceedings of the American Mathematical Society

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Bi-lipschitz embedding of projective metrics

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Conformal Geometry and Dynamics

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Bi-lipschitz embedding of projective metrics

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Conformal Geometry and Dynamics

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The Hopf-Laplace equation: Harmonicity and regularity

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Annali della Scuola normale superiore di Pisa - Classe di scienze

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The Hopf-Laplace equation

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Annali della Scuola normale superiore di Pisa - Classe di scienze

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Lipschitz regularity for inner-variational equations

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Duke Mathematical Journal

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Lipschitz regularity for inner-variational equations

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Duke Mathematical Journal

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Hopf differentials and smoothing sobolev homeomorphisms

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International Mathematics Research Notices

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Approximation up to the boundary of homeomorphisms of finite Dirichlet energy

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Bulletin of the London Mathematical Society

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Approximation up to the boundary of homeomorphisms of finite Dirichlet energy

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Bulletin of the London Mathematical Society

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Doubly connected minimal surfaces and extremal harmonic mappings

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Journal of Geometric Analysis

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Doubly connected minimal surfaces and extremal harmonic mappings

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Journal of Geometric Analysis

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Hopf differentials and smoothing sobolev homeomorphisms

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International Mathematics Research Notices

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Quasisymmetric graphs and Zygmund functions

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Journal d'Analyse Mathematique

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Quasisymmetric graphs and Zygmund functions

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Journal d'Analyse Mathematique

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Sharp distortion growth for bilipschitz extension of planar maps

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Conformal Geometry and Dynamics

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Sharp distortion growth for bilipschitz extension of planar maps

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Conformal Geometry and Dynamics

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The nitsche conjecture

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Journal of the American Mathematical Society

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An N-dimensional version of the Beurling-Ahlfors extension

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Annales Academiae Scientiarum Fennicae Mathematica

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Area contraction for harmonic automorphisms of the disk

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Bulletin of the London Mathematical Society

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Area contraction for harmonic automorphisms of the disk

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Bulletin of the London Mathematical Society

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Diffeomorphic Approximation of Sobolev Homeomorphisms

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Archive for Rational Mechanics and Analysis

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Diffeomorphic Approximation of Sobolev Homeomorphisms

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Archive for Rational Mechanics and Analysis

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Dynamics of Quasiconformal fields

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Journal of Dynamics and Differential Equations

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Dynamics of Quasiconformal fields

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Journal of Dynamics and Differential Equations

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Existence of energy-minimal diffeomorphisms between doubly connected domains

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Inventiones Mathematicae

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Existence of energy-minimal diffeomorphisms between doubly connected domains

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Inventiones Mathematicae

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On invertibility of sobolev mappings

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Journal fur die Reine und Angewandte Mathematik

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On invertibility of sobolev mappings

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Journal fur die Reine und Angewandte Mathematik

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An N-dimensional version of the Beurling-Ahlfors extension

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Annales Academiae Scientiarum Fennicae Mathematica

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Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames

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Operators and Matrices

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Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames

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Operators and Matrices

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The harmonic mapping problem and affine capacity

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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The harmonic mapping problem and affine capacity

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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The nitsche conjecture

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Journal of the American Mathematical Society

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Invertibility of Sobolev mappings under minimal hypotheses

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Annales de l'Institut Henri Poincare (C) Non Linear Analysis

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Harmonic mappings of an annulus,nitsche conjecture and its generalizations

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American Journal of Mathematics

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Harmonic mappings of an annulus,nitsche conjecture and its generalizations

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American Journal of Mathematics

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Invertibility of Sobolev mappings under minimal hypotheses

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Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

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On injectivity of quasiregular mappings

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Proceedings of the American Mathematical Society

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On injectivity of quasiregular mappings

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Proceedings of the American Mathematical Society

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Variation of quasiconformal mappings on lines

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Studia Mathematica

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Variation of quasiconformal mappings on lines

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Studia Mathematica

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A geometric approach to accretivity

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Studia Mathematica

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Quasiconformal geometry of monotone mappings

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Journal of the London Mathematical Society

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A geometric approach to accretivity

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Studia Mathematica

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Doubling measures, monotonicity, and quasiconformality

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Mathematische Zeitschrift

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Doubling measures, monotonicity, and quasiconformality

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Mathematische Zeitschrift

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Quasiconformal geometry of monotone mappings

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Journal of the London Mathematical Society

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Conformal dimension does not assume values between zero and one

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Duke Mathematical Journal

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Conformal dimension does not assume values between zero and one

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Duke Mathematical Journal

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Comparison theorems for the one-dimensional Schrödinger equation

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Arkiv for Matematik

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Comparison theorems for the one-dimensional Schrödinger equation

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Arkiv for Matematik

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Mappings with convex potentials and the quasiconformal Jacobian problem

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Illinois Journal of Mathematics

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Mappings with convex potentials and the quasiconformal Jacobian problem

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Illinois Journal of Mathematics

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On Hölder regularity for elliptic equations of non-divergence type in the plane

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Annali della Scuola Normale - Classe di Scienze

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On Hölder regularity for elliptic equations of non-divergence type in the plane

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Annali della Scuola Normale - Classe di Scienze

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Holder spaces of quasiconformal mappings

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Publications de l'Institut Mathematique

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Quasiregular mappings of maximal local modulus of continuity

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Annales Academiae Scientiarum Fennicae Mathematica

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Quasiregular mappings of maximal local modulus of continuity

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Annales Academiae Scientiarum Fennicae Mathematica

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Monotonicity of the generalized reduced modulus

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Journal of Mathematical Sciences

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Estimates of conformal radius and distortion theorems for univalent functions

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Journal of Mathematical Sciences

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Estimates of conformal radius and distortion theorems for univalent functions

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Journal of Mathematical Sciences

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The reduced module of the complex sphere

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Journal of Mathematical Sciences

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Domains with convex hyperbolic radius

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Acta Mathematica Universitatis Comenianae

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The reduced module of the complex sphere

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Journal of Mathematical Sciences

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