• 226 Citations
  • 8 h-Index
20012021
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Research Output 2001 2018

  • 226 Citations
  • 8 h-Index
  • 41 Article
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Article
2018

On the existence of harmonic mappings between doubly connected domains

Kovalev, L. V. & Li, L., Apr 22 2018, (Accepted/In press) In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. p. 1-10 10 p.

Research output: Contribution to journalArticle

Harmonic Mapping
Harmonic
Codomain
Conformal Mapping
Diffeomorphism

Symmetrization and extension of planar bi-Lipschitz maps

Kovalev, L. V. Jan 1 2018 In : Annales Academiae Scientiarum Fennicae Mathematica. 43, p. 541-556 16 p.

Research output: Contribution to journalArticle

Lipschitz Map
Conformal Map
Harmonic Measure
Symmetrization
Lipschitz

Uniform convergence of Green’s functions

Kalmykov, S. & Kovalev, L. V., Apr 17 2018, (Accepted/In press) In : Complex Variables and Elliptic Equations. p. 1-6 6 p.

Research output: Contribution to journalArticle

Uniform convergence
Green's function
Connectivity
kernel
Converge
2016

Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

Kovalev, L. V. Aug 31 2016 (Accepted/In press) In : Potential Analysis. p. 1-7 7 p.

Research output: Contribution to journalArticle

Harmonic Measure
Contraction
Nonexpansive Map
Lower bound
Conformal Map
1 Citations

Lipschitz retractions in Hadamard spaces via gradient flow semigroups

Bačák, M. & Kovalev, L. V. Dec 1 2016 In : Canadian Mathematical Bulletin. 59, 4, p. 673-681 9 p.

Research output: Contribution to journalArticle

Gradient Flow
Retraction
Lipschitz
Semigroup
Hausdorff Metric
2015
1 Citations

Lipschitz retraction of finite subsets of Hilbert spaces

Kovalev, L. V. Jul 8 2015 (Accepted/In press) In : Bulletin of the Australian Mathematical Society.

Research output: Contribution to journalArticle

Retraction
Lipschitz
Hilbert space
Subset
Isometric Embedding
3 Citations

Symmetric products of the line: Embeddings and retractions

Kovalev, L. V. 2015 In : Proceedings of the American Mathematical Society. 143, 2, p. 801-809 9 p.

Research output: Contribution to journalArticle

Symmetric Product
Retraction
Lipschitz
Hausdorff Metric
Retract
2014

Bi-lipschitz embedding of projective metrics

Kovalev, L. V. 2014 In : Conformal Geometry and Dynamics. 18, 7, p. 110-118 9 p.

Research output: Contribution to journalArticle

Lipschitz
Euclidean space
Metric
Subset
Sufficient Conditions
2 Citations

The Hopf-Laplace equation: Harmonicity and regularity

Cristina, J., Iwaniec, T., Kovalev, L. V. & Onninen, J., 2014, In : Annali della Scuola normale superiore di Pisa - Classe di scienze. 13, 4, p. 1145-1187 43 p.

Research output: Contribution to journalArticle

Singular Set
Laplace equation
Laplace's equation
Harmonic
Regularity
2013
8 Citations

Lipschitz regularity for inner-variational equations

Iwaniec, T., Kovalev, L. V. & Onninen, J., Mar 2013, In : Duke Mathematical Journal. 162, 4, p. 643-672 30 p.

Research output: Contribution to journalArticle

Variational Equation
Stationary Solutions
Dirichlet
Lipschitz
Regularity
2012
5 Citations
Homeomorphism
Dirichlet
Minimal Energy
Nonlinear Elasticity
Lipschitz Domains
5 Citations

Doubly connected minimal surfaces and extremal harmonic mappings

Iwaniec, T., Kovalev, L. V. & Onninen, J. Jul 2012 In : Journal of Geometric Analysis. 22, 3, p. 726-762 37 p.

Research output: Contribution to journalArticle

Harmonic Mapping
Quasiconformal Mapping
Minimal surface
Conformal Deformation
Conformal Invariants
23 Citations

Hopf differentials and smoothing sobolev homeomorphisms

Iwaniec, T., Kovalev, L. V. & Onninen, J. 2012 In : International Mathematics Research Notices. 2012, 14, p. 3256-3277 22 p.

Research output: Contribution to journalArticle

Smoothing
Diffeomorphisms
Sobolev Spaces
Harmonic
Algebra

Quasisymmetric graphs and Zygmund functions

Kovalev, L. V. & Onninen, J., Oct 2012, In : Journal d'Analyse Mathematique. 118, 1, p. 343-361 19 p.

Research output: Contribution to journalArticle

Quasiconformal Maps
Beltrami Equation
Curve
Harmonic Analysis
Graph in graph theory
3 Citations

Sharp distortion growth for bilipschitz extension of planar maps

Kovalev, L. V. 2012 In : Conformal Geometry and Dynamics. 16, p. 124-131 8 p.

Research output: Contribution to journalArticle

Planar Maps
2011
4 Citations
Monotone Mapping
Extendability
Quasiconformal Mapping
Lipschitz
Monotonicity
5 Citations

Area contraction for harmonic automorphisms of the disk

Koh, N. T. & Kovalev, L. V. Feb 2011 In : Bulletin of the London Mathematical Society. 43, 1, p. 91-96 6 p.

Research output: Contribution to journalArticle

Automorphisms
Contraction
Harmonic
Concentric
Homeomorphism
31 Citations

Diffeomorphic Approximation of Sobolev Homeomorphisms

Iwaniec, T., Kovalev, L. V. & Onninen, J., Sep 2011, In : Archive for Rational Mechanics and Analysis. 201, 3, p. 1047-1067 21 p.

Research output: Contribution to journalArticle

Sobolev Class
Homeomorphism
Diffeomorphisms
Open set
Norm
3 Citations

Dynamics of Quasiconformal fields

Iwaniec, T., Kovalev, L. V. & Onninen, J. Mar 2011 In : Journal of Dynamics and Differential Equations. 23, 1, p. 185-212 28 p.

Research output: Contribution to journalArticle

Quasiconformal
Geometric Structure
Uniqueness Theorem
Autonomous Systems
Monotonicity
14 Citations

Existence of energy-minimal diffeomorphisms between doubly connected domains

Iwaniec, T., Koh, N. T., Kovalev, L. V. & Onninen, J. Dec 2011 In : Inventiones Mathematicae. 186, 3, p. 667-707 41 p.

Research output: Contribution to journalArticle

Minimal Energy
Diffeomorphisms
Diffeomorphism
Harmonic
Nonlinear Elasticity
7 Citations

On invertibility of sobolev mappings

Kovalev, L. V. & Onninen, J. Jul 2011 In : Journal fur die Reine und Angewandte Mathematik. 656, p. 1-16 16 p.

Research output: Contribution to journalArticle

Quasiregular Mappings
Invertibility
Differential Inclusions
Two Dimensions
Eigenvalue
2 Citations

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

Giol, J., Kovalev, L. V., Larson, D., Nguyen, N. & Tener, J. E., Mar 2011, In : Operators and Matrices. 5, 1, p. 139-155 17 p.

Research output: Contribution to journalArticle

Tight Frame
Idempotent
Homotopy
Projection
Unit
3 Citations
Harmonic Mapping
Hyperelasticity
Minimal surface
Calculus of variations
Homeomorphism
18 Citations

The nitsche conjecture

Iwaniec, T., Kovalev, L. V. & Onninen, J. Apr 2011 In : Journal of the American Mathematical Society. 24, 2, p. 345-373 29 p.

Research output: Contribution to journalArticle

Harmonic Mapping
Minimal surface
2010
3 Citations

Harmonic mappings of an annulus,nitsche conjecture and its generalizations

Iwaniec, T., Kovalev, L. V. & Onninen, J. Oct 2010 In : American Journal of Mathematics. 132, 5, p. 1397-1428 32 p.

Research output: Contribution to journalArticle

Harmonic Mapping
Ring or annulus
Jordan Curve
Harmonic
Circle
6 Citations
Invertibility
Inverse function
Differential Inclusions
Homeomorphism
Integrability
2009
5 Citations

On injectivity of quasiregular mappings

Iwaniec, T., Kovalev, L. V. & Onninen, J. May 2009 In : Proceedings of the American Mathematical Society. 137, 5, p. 1783-1791 9 p.

Research output: Contribution to journalArticle

Quasiregular Mappings
Injectivity
Injective
Sufficient Conditions
Range of data
6 Citations

Variation of quasiconformal mappings on lines

Kovalev, L. V. & Onninen, J. 2009 In : Studia Mathematica. 195, 3, p. 257-274 18 p.

Research output: Contribution to journalArticle

Beltrami Equation
Quasiconformal Mapping
Regularity
P-variation
Restriction
2007

A geometric approach to accretivity

Kovalev, L. V. 2007 In : Studia Mathematica. 181, 1, p. 87-100 14 p.

Research output: Contribution to journalArticle

Accretive Operator
Geometric Approach
Geometric proof
Surjectivity
Differentiability
5 Citations

Doubling measures, monotonicity, and quasiconformality

Kovalev, L. V., Maldonado, D. & Wu, J. M., Nov 2007, In : Mathematische Zeitschrift. 257, 3, p. 525-545 21 p.

Research output: Contribution to journalArticle

Doubling Measure
Monotonicity
Doubling
Fractal Set
Quasiconformal Mapping
14 Citations

Quasiconformal geometry of monotone mappings

Kovalev, L. V., Apr 2007, In : Journal of the London Mathematical Society. 75, 2, p. 391-408 18 p.

Research output: Contribution to journalArticle

Monotone Mapping
Quasiconformal
Elliptic Partial Differential Equations
Invertible
Metric space
2006
21 Citations

Conformal dimension does not assume values between zero and one

Kovalev, L. V., Jul 15 2006, In : Duke Mathematical Journal. 134, 1, p. 1-13 13 p.

Research output: Contribution to journalArticle

Metric space
Zero
2005

Comparison theorems for the one-dimensional Schrödinger equation

Kovalev, L. V., Oct 2005, In : Arkiv for Matematik. 43, 2, p. 403-418 16 p.

Research output: Contribution to journalArticle

Comparison Theorem
Rearrangement
Schrödinger Equation
Monotone
Boundary conditions
9 Citations

Mappings with convex potentials and the quasiconformal Jacobian problem

Kovalev, L. V. & Maldonado, D., Dec 2005, In : Illinois Journal of Mathematics. 49, 4, p. 1039-1060 22 p.

Research output: Contribution to journalArticle

Quasiconformal Mapping
Quasiconformal
Hausdorff Dimension
Convex function
Determinant
8 Citations
Hölder Regularity
Elliptic Equations
Gradient
Hölder Exponent
Hölder Continuity
2004

Holder spaces of quasiconformal mappings

Kovalev, L. V., 2004, In : Publications de l'Institut Mathematique. 75, 89, p. 87-94

Research output: Contribution to journalArticle

Hölder Space
Quasiconformal Mapping
Modulus of Continuity
Exponent
If and only if
3 Citations

Quasiregular mappings of maximal local modulus of continuity

Kovalev, L. V. 2004 In : Annales Academiae Scientiarum Fennicae Mathematica. 29, 1, p. 211-222 12 p.

Research output: Contribution to journalArticle

Quasiregular Mappings
Modulus of Continuity
Schwarz Lemma
Circle
Estimate
2003

Monotonicity of the generalized reduced modulus

Kovalev, L. V., 2003, In : Journal of Mathematical Sciences. 118, 1, p. 4861–4870

Research output: Contribution to journalArticle

2002

Estimates of conformal radius and distortion theorems for univalent functions

Kovalev, L. V. 2002 In : Journal of Mathematical Sciences. 110, 6, p. 3111-3120 10 p.

Research output: Contribution to journalArticle

Distortion Theorem
Univalent Functions
Radius
Estimate
Inverse function
2001

Domains with convex hyperbolic radius

Kovalev, L. V., 2001, In : Acta Mathematica Universitatis Comenianae. 70, 2, p. 207-213

Research output: Contribution to journalArticle

Radius
Hyperbolic Metric
Convex Sets
Convex function
Complement
8 Citations

The reduced module of the complex sphere

Dubinin, V. N. & Kovalev, L. V. 2001 In : Journal of Mathematical Sciences. 105, 4, p. 2165-2179 15 p.

Research output: Contribution to journalArticle

Module
Open set
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