• 223 Citations
  • 8 h-Index
20012021
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Personal profile

Research interests

Metric Spaces, Metric Geometry, Complex Analysis, Geometric Function Theory, Potential Theory

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  • 2 Similar Profiles
Harmonic Mapping Mathematics
Lipschitz Mathematics
Quasiconformal Mapping Mathematics
Quasiregular Mappings Mathematics
Homeomorphism Mathematics
Quasiconformal Mathematics
Harmonic Mathematics
Retraction Mathematics

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Projects 2008 2021

Research Output 2001 2018

  • 223 Citations
  • 8 h-Index
  • 41 Article

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

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