2026 Olli Martio: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2431	2157	15	13	159	9013

Research.com Recognitions

Member of the Norwegian Academy of Science and Letters Mathematics
Member of the Norwegian Academy of Science and Letters Mathematics
Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Olli Martio is affiliated with the University of Helsinki in Finland and specializes in the field of Mathematics. Their research spans several subfields, including Geometry and Topology, Applied Mathematics, Algebra and Number Theory, Numerical Analysis, and Mathematical Physics.

Their main research topics cover a range of mathematical areas such as:

Analytic and geometric function theory
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Differential Equations and Boundary Problems
Analytic Number Theory Research
Mathematical Approximation and Integration
Advanced Topology and Set Theory

Olli Martio has contributed scholarly articles in several publication venues, including:

Annales Fennici Mathematici
Journal of Functional Analysis
Mathematische Nachrichten
Journal of Mathematical Sciences
Indiana University Mathematics Journal

Recent papers authored or co-authored by Olli Martio include:

"A-harmonic equation and cavitation," 2023, Annales Fennici Mathematici
"Plans on measures and AM-modulus," 2021, Journal of Functional Analysis
"AM-modulus and Hausdorff measure of codimension one in metric measure spaces," 2022, Mathematische Nachrichten
"An alternative capacity in metric measure spaces," 2021, Journal of Mathematical Sciences
"A version of Stokes's theorem using test curves," 2020, Indiana University Mathematics Journal

Frequent collaborators in research projects have been:

Jan Malý
Vendula Honzlová Exnerová
Vladimir Gutlyanskiî
Vladimir Ryazanov
Ondřej F. K. Kalenda

Among recognitions, Olli Martio holds a membership in the Norwegian Academy of Science and Letters for contributions in Mathematics.

Best Publications

Nonlinear Potential Theory of Degenerate Elliptic Equations

Juha Heinonen;Tero Kilpeläinen;Olli Martio

2812
Citations
Moduli in Modern Mapping Theory

O. Martio;Vladimir Ryazanov;Uri Srebro;Eduard Yakubov

588
Citations
Injectivity theorems in plane and space

Unknown

519
Citations
Quasiextremal distance domains and extension of quasiconformal mappings

Unknown

204
Citations
THE SOBOLEV CAPACITY ON METRIC SPACES

Juha Kinnunen;Olli Martio

196
Citations
ON CONFORMAL DILATATION IN SPACE

Christopher J. Bishop;Vladimir Ya . Gutlyanskii;Olli Martio;Matti Vuorinen

190
Citations
Lipschitz classes and quasiconformla mappings

Unknown

186
Citations
The Cantor function

O. Dovgoshey;O. Martio;V. Ryazanov;M. Vuorinen

183
Citations
Lusin's condition (N) and mappings of the class W1, n.

Unknown

170
Citations
Mappings with Finite Length Distortion (FLD)

Olli Martio;Vladimir Ryazanov;Uri Srebro;Eduard Yakubov

163
Citations
Traces of Sobolev Functions on Fractal Type Sets and Characterization of Extension Domains

Piotr Hajłasz;Olli Martio

150
Citations
ON Q-HOMEOMORPHISMS

O. Martio;V. Ryazanov;U. Srebro;E. Yakubov

147
Citations
HARMONIC MAPPINGS IN THE PLANE (Cambridge Tracts in Mathematics 156)

Olli Martio

147
Citations
Sobolev Spaces with Zero Boundary Values on Metric Spaces

Tero Kilpeläinen;Juha Kinnunen;Olli Martio

143
Citations
Nonlinear potential theory on metric spaces

Juha Kinnunen;Olli Martio

143
Citations
On harmonic quasiconformal mappings

Unknown

136
Citations
On the degenerate Beltrami equation

V. Gutlyanskiĭ;O. Martio;T. Sugawa;M. Vuorinen

117
Citations
Two theorems of N. Wiener for solutions of quasilinear elliptic equations

Unknown

114
Citations
Infinitesimal Geometry of Quasiconformal and Bi-lipschitz Mappings in the Plane

Bogdan Bojarski;Vladimir Gutlyanskii;Olli Martio;Vladimir Ryazanov

111
Citations
Mappings with finite length distortion

Unknown

100
Citations
Hardy’s inequalities for Sobolev functions

Juha Kinnunen;Olli Martio

92
Citations
Potential theory of quasiminimizers

Juha Kinnunen;Olli Martio

75
Citations
BMO and Injectivity of Space Quasiregular Mappings

Olli Martio;Vladimir Ryazanov;Matti Vuorinen

43
Citations
Automorphic quasimeromorphic mappings in Rn

Olli Martio;Uri Srebro

32
Citations
Homeomorphisms with Finite Mean Dilatations

Olli Martio;Vladimir Ryazanov;Uri Srebro;Eduard Yakubov

27
Citations
Quasiminimizers in one dimension: integrability of the derivative, inverse function and obstacle problems

Olli Martio;C Sbordone

25
Citations
On convergence theorems for space quasiregular mappings

V. Ya Gutlyanskiĭ;O Martio;V. I Ryazanov;M Vuorinen

21
Citations

Frequent Co-Authors

Matti Vuorinen University of Turku

Pekka Koskela University of Jyväskylä

Bernt Øksendal University of Oslo

Saminathan Ponnusamy Indian Institute of Technology Madras

Alexander Grigor'yan Bielefeld University

Eero Saksman University of Helsinki

External Links

Personal website of Olli Martio

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