Research Output 2001 2016

  • 192 Citations
  • 8 h-Index from Scopus
  • 38 Article
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: Research - peer-reviewArticle

Harmonic Measure
Contraction
Lower bound
Nonexpansive Map
Conformal Map

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: Research - peer-reviewArticle

Gradient Flow
Retraction
Lipschitz
Semigroup
Subset
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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Symmetric Product
Retraction
Lipschitz
Line
Hausdorff Metric
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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Singular Set
Laplace's equation
Harmonic
Regularity
Laplace equation
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: Research - peer-reviewArticle

Variational Equation
Stationary Solutions
Dirichlet
Lipschitz
Regularity
2012
5 Citations
Homeomorphism
Dirichlet
Approximation
Energy
Minimal Energy
4 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: Research - peer-reviewArticle

Harmonic Mapping
Quasiconformal Mapping
Minimal surface
Estimate
Concepts
20 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Curve
Graph in graph theory
Class
Quasiconformal Maps
Beltrami Equation
2 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: Research - peer-reviewArticle

Planar Maps
2011
2 Citations
Monotone Mapping
Extendability
Quasiconformal Mapping
Lipschitz
Monotonicity
3 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: Research - peer-reviewArticle

Automorphisms
Contraction
Harmonic
Concentric
Homeomorphism
25 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Quasiconformal
Geometric Structure
Uniqueness Theorem
Autonomous Systems
Monotonicity
10 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Quasiregular Mappings
Invertibility
Differential Inclusions
Two Dimensions
Eigenvalue
1 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: Research - peer-reviewArticle

Tight Frame
Idempotent
Homotopy
Projection
Unit
2 Citations
Harmonic Mapping
Hyperelasticity
Minimal surface
Calculus of variations
Homeomorphism
15 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Harmonic Mapping
Ring or annulus
Generalization
Harmonic
Jordan Curve
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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Beltrami Equation
Quasiconformal Mapping
Regularity
Restriction
Line
2007

A geometric approach to accretivity

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

Research output: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Doubling Measure
Monotonicity
Doubling
Fractal Set
Quasiconformal Mapping
13 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: Research - peer-reviewArticle

Monotone Mapping
Quasiconformal
Class
Elliptic Partial Differential Equations
Invertible
2006
18 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Comparison Theorem
Rearrangement
Schrödinger Equation
Monotone
Boundary conditions
7 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: Research - peer-reviewArticle

Quasiconformal Mapping
Quasiconformal
Hausdorff Dimension
Convex function
Determinant
5 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Distortion Theorem
Univalent Functions
Radius
Estimate
Family
2001

Domains with convex hyperbolic radius

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

Research output: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Module
Open set
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