• 2571 Citations
  • 25 h-Index
1982 …2021
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Research Output 1982 2019

  • 2571 Citations
  • 25 h-Index
  • 82 Article
  • 1 Book
2019
P-harmonic
Theorem
Nonlinear Elliptic PDE
Elasticity
Harmonic Mapping
2018

Partial Di¤erential Equations

D’Onofrio, L., Greco, L., Iwaniec, T. & Schiattarella, R., Jan 1 2018, In : Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 29, 4, p. 579-587 9 p.

Research output: Contribution to journalArticle

Singular Integrals
Poisson's equation
Argand diagram
Sobolev Spaces
Unit Disk

The Nitsche phenomenon for weighted Dirichlet energy

Iwaniec, T., Onninen, J. K. & Radice, T., Mar 28 2018, (Accepted/In press) In : Advances in Calculus of Variations.

Research output: Contribution to journalArticle

Ring or annulus
Dirichlet
Minimal Energy
Energy
Theorem
2017
3 Citations (Scopus)

Limits of Sobolev homeomorphisms

Iwaniec, T. & Onninen, J. K., 2017, In : Journal of the European Mathematical Society. 19, 2, p. 473-505 33 p.

Research output: Contribution to journalArticle

Energy Integral
Sobolev spaces
Lipschitz Domains
Sobolev Spaces
Bounded Domain
2016
3 Citations (Scopus)

Isotropic p -harmonic systems in 2D Jacobian estimates and univalent solutions

Iwaniec, T., Koski, A. & Onninen, J. K., 2016, In : Revista Matematica Iberoamericana. 32, 1, p. 57-77 21 p.

Research output: Contribution to journalArticle

P-harmonic
Differential Expression
Determinant
Estimate
Harmonic Mapping
5 Citations (Scopus)

Monotone Sobolev Mappings of Planar Domains and Surfaces

Iwaniec, T. & Onninen, J. K., Jan 1 2016, In : Archive for Rational Mechanics and Analysis. 219, 1, p. 159-181 23 p.

Research output: Contribution to journalArticle

Monotone
P-harmonic
Energy Integral
Minimizing Sequences
Monotone Mapping
8 Citations (Scopus)

New Inequalities for the Jacobian

Greco, L. & Iwaniec, T., Jan 1 2016, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 11, 1, p. 17-35 19 p.

Research output: Contribution to journalArticle

Electric commutators
Commutator
Estimate
Integrability
Refinement
1 Citation (Scopus)

Smoothing defected welds and hairline cracks

Iwaniec, T. & Onninen, J. K., 2016, In : SIAM Journal on Mathematical Analysis. 48, 1, p. 281-301 21 p.

Research output: Contribution to journalArticle

Smoothing
Crack
Welds
Cracks
Curve

Triangulation of diffeomorphisms

Iwaniec, T. & Onninen, J. K., May 23 2016, (Accepted/In press) In : Mathematische Annalen. p. 1-37 37 p.

Research output: Contribution to journalArticle

Diffeomorphisms
Triangulation
Euclidean
Diffeomorphism
Theorem
2015
2 Citations (Scopus)

A comment on powder averaging in wide line NMR

Iwaniec, T., Kopiecki, R. & Szymanski, S., Jun 1 2015, In : Solid State Nuclear Magnetic Resonance. 68, p. 25-30 6 p.

Research output: Contribution to journalArticle

Powders
Nuclear magnetic resonance
nuclear magnetic resonance
inspection
Inspection
1 Citation (Scopus)

A hunt for sharp Lp-Estimates and Rank-one Convex Variational Integrals

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., 2015, In : Filomat. 29, 2, p. 245-261 17 p.

Research output: Contribution to journalArticle

Martingale Inequality
Lp Estimates
Differential Expression
Stochastic Integral
Figure
10 Citations (Scopus)

Bilipschitz and quasiconformal rotation, stretching and multifractal spectra

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., Jun 27 2015, In : Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques. 121, 1, p. 113-154 42 p.

Research output: Contribution to journalArticle

Multifractal Spectrum
Quasiconformal
Quasiconformal Maps
Estimate
Lipschitz Map
2014
2 Citations (Scopus)
Lagrange Equation
Invertibility
Free energy
Free Energy
Energy Integral
5 Citations (Scopus)

On Minimisers of Lp-mean Distortion

Iwaniec, T., Martin, G. & Onninen, J. K., Oct 31 2014, In : Computational Methods and Function Theory. 14, 2-3, p. 399-416 18 p.

Research output: Contribution to journalArticle

Maximum principle
Complex conjugate
Quasilinear Equations
Maximum Principle
Boundary Value
9 Citations (Scopus)

Radó-Kneser-Choquet theorem

Iwaniec, T. & Onninen, J. K., Dec 1 2014, In : Bulletin of the London Mathematical Society. 46, 6, p. 1283-1291 9 p.

Research output: Contribution to journalArticle

P-harmonic
Harmonic Mapping
Minimum Principle
Path
Isotopy
2 Citations (Scopus)

The Hopf-Laplace equation: Harmonicity and regularity

Cristina, J., Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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
9 Citations (Scopus)

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
11 Citations (Scopus)

Mappings of Least Dirichlet Energy and their Hopf Differentials

Iwaniec, T. & Onninen, J. K., Aug 2013, In : Archive for Rational Mechanics and Analysis. 209, 2, p. 401-453 53 p.

Research output: Contribution to journalArticle

Minimal Energy
Dirichlet
Energy
Trajectories
Trajectory
2012
5 Citations (Scopus)
Homeomorphism
Dirichlet
Minimal Energy
Nonlinear Elasticity
Lipschitz Domains
17 Citations (Scopus)

Burkholder integrals, morrey's problem and quasiconformal mappings

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., 2012, In : Journal of the American Mathematical Society. 25, 2, p. 507-531 25 p.

Research output: Contribution to journalArticle

Critical Sobolev Exponent
Quasiconformal Mapping
6 Citations (Scopus)

Doubly connected minimal surfaces and extremal harmonic mappings

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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
24 Citations (Scopus)

Hopf differentials and smoothing sobolev homeomorphisms

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

Research output: Contribution to journalArticle

Smoothing
Diffeomorphisms
Sobolev Spaces
Harmonic
Algebra
2011
3 Citations (Scopus)

An invitation to n-harmonic hyperelasticity

Iwaniec, T., Onninen, J. K. & Gehring, F. W., Apr 2011, In : Pure and Applied Mathematics Quarterly. 7, 2, p. 319-343 25 p.

Research output: Contribution to journalArticle

Hyperelasticity
Nonlinear Elasticity
Harmonic
Quasiconformal
Conformal Mapping
14 Citations (Scopus)
Boundary Behavior
Limit Theorems
Injectivity
Energy
Continuous Extension
36 Citations (Scopus)

Diffeomorphic Approximation of Sobolev Homeomorphisms

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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 (Scopus)

Dynamics of Quasiconformal fields

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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
21 Citations (Scopus)

Existence of energy-minimal diffeomorphisms between doubly connected domains

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

Research output: Contribution to journalArticle

Minimal Energy
Diffeomorphisms
Diffeomorphism
Harmonic
Nonlinear Elasticity
4 Citations (Scopus)
Harmonic Mapping
Hyperelasticity
Minimal surface
Calculus of variations
Homeomorphism
25 Citations (Scopus)

The nitsche conjecture

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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
38 Citations (Scopus)

Deformations of annuli with smallest mean distortion

Astala, K., Iwaniec, T. & Martin, G., Mar 2010, In : Archive for Rational Mechanics and Analysis. 195, 3, p. 899-921 23 p.

Research output: Contribution to journalArticle

Ring or annulus
Minimizer
Harmonic Maps
Energy
Dirichlet
7 Citations (Scopus)
Singularity
Energy
Crack
Homeomorphism
Injective
3 Citations (Scopus)

Harmonic mappings of an annulus,nitsche conjecture and its generalizations

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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 (Scopus)

Neohookean deformations of annuli, existence, uniqueness and radial symmetry

Iwaniec, T. & Onninen, J. K., Sep 2010, In : Mathematische Annalen. 348, 1, p. 35-55 21 p.

Research output: Contribution to journalArticle

Radial Symmetry
Ring or annulus
Existence and Uniqueness
Energy Integral
Strictly Convex
2009
20 Citations (Scopus)

Hyperelastic deformations of smallest total energy

Iwaniec, T. & Onninen, J. K., Oct 2009, In : Archive for Rational Mechanics and Analysis. 194, 3, p. 927-986 60 p.

Research output: Contribution to journalArticle

Elastic deformation
Energy
Hyperelasticity
Energy Integral
Sobolev Class
5 Citations (Scopus)

LP-integrability & weak type L2-estimates for the gradient of harmonic mappings of D

Iwaniec, T., Martin, G. & Sbordone, C., Jan 2009, In : Discrete and Continuous Dynamical Systems - Series B. 11, 1, p. 145-152 8 p.

Research output: Contribution to journalArticle

Harmonic Mapping
Integrability
Gradient
Explicit Bounds
Homeomorphism
6 Citations (Scopus)

On injectivity of quasiregular mappings

Iwaniec, T., Kovalev, L. V. & Onninen, J. K., 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
2 Citations (Scopus)

P-harmonic energy of deformations between punctured balls

Iwaniec, T. & Onninen, J. K., Feb 2009, In : Advances in Calculus of Variations. 2, 1, p. 93-107 15 p.

Research output: Contribution to journalArticle

P-harmonic
Invariance
Ball
Rotational symmetry
Energy
2008
244 Citations (Scopus)

Elliptic partial differential equations and quasiconformal mappings in the plane

Astala, K., Iwaniec, T. & Martin, G., Dec 29 2008, Princeton University Press. 677 p.

Research output: Book/ReportBook

Quasiconformal Mapping
Elliptic Partial Differential Equations
Dynamical system
Regularity
Fractal Set
2007
17 Citations (Scopus)

Continuity estimates for n-harmonic equations

Iwaniec, T. & Onninen, J. K., 2007, In : Indiana University Mathematics Journal. 56, 2, p. 805-824 20 p.

Research output: Contribution to journalArticle

Harmonic
Estimate
P-harmonic
Hardy Space
Sobolev Spaces
58 Citations (Scopus)

On the product of functions in BMO and H 1

Bonami, A., Iwaniec, T., Jones, P. & Zinsmeister, M., 2007, In : Annales de l'Institut Fourier. 57, 5, p. 1405-1439 35 p.

Research output: Contribution to journalArticle

Hardy Space
Bounded Mean Oscillation
Orlicz Spaces
Analytic function
Schwartz Distributions
2006
1 Citation (Scopus)

Divergence forms of the ∞-Laplacian

D'Onofrio, L., Giannetti, F., Iwaniec, T., Manfredi, J. & Radice, T., 2006, In : Publicacions Matematiques. 50, 1, p. 229-248 20 p.

Research output: Contribution to journalArticle

Harmonic Functions
Divergence
Conjugate functions
Multiplication
Express
15 Citations (Scopus)

Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane

Astala, K., Iwaniec, T. & Martin, G., Feb 24 2006, In : Journal fur die Reine und Angewandte Mathematik. 591, p. 49-74 26 p.

Research output: Contribution to journalArticle

Elliptic Partial Differential Equations
Partial differential equations
Maximum principle
Removable Singularity
Quasiconformal Mapping
2005
68 Citations (Scopus)

Extremal mappings of finite distortion

Astala, K., Iwaniec, T., Martin, G. J. & Onninen, J. K., 2005, In : Proceedings of the London Mathematical Society. 91, 3, p. 655-702 48 p.

Research output: Contribution to journalArticle

Mappings of Finite Distortion
2 Citations (Scopus)

Global estimates for the Jacobians of orientation preserving mappings

Iwaniec, T. & Ding, S., Sep 2005, In : Computers and Mathematics with Applications. 50, 5-6, p. 707-718 12 p.

Research output: Contribution to journalArticle

John Domains
Sobolev Class
Estimate
2004
13 Citations (Scopus)

The p-harmonic transform beyond its natural domain of definition

D'Onofrio, L. & Iwaniec, T., 2004, In : Indiana University Mathematics Journal. 53, 3, p. 683-718 36 p.

Research output: Contribution to journalArticle

P-harmonic
Transform
Uniqueness
Sobolev Class
Riesz Transform
2003
3 Citations (Scopus)

Another approach to biting convergence of Jacobians

Greco, L., Iwaniec, T. & Subramanian, U., Sep 2003, In : Illinois Journal of Mathematics. 47, 3, p. 815-830 16 p.

Research output: Contribution to journalArticle

Sobolev Class
Cofactor
Differential Forms
Wedge
Weak Convergence
21 Citations (Scopus)

A priori estimates for nonlinear elliptic complexes

Iwaniec, T., Migliaccio, L., Moscariello, G. & di Napoli, A. P., 2003, In : Advances in Differential Equations. 8, 5, p. 513-546 34 p.

Research output: Contribution to journalArticle

Ellipticity
A Priori Estimates
Harmonic analysis
Duality Theory
Lp Spaces
10 Citations (Scopus)
Very Weak Solutions
Elliptic Equations
Energy Estimates
Linear partial differential equation
Nonlinear Partial Differential Equations
3 Citations (Scopus)

Interpolation theorem for the p-harmonic transform

D'Onofrio, L. & Iwaniec, T., 2003, In : Studia Mathematica. 159, 3, p. 373-390 18 p.

Research output: Contribution to journalArticle

P-harmonic
Interpolate
Transform
Interpolation Theory
Elliptic PDE