×
Author ID: martio.olli Recent zbMATH articles by "Martio, Olli"
Published as: Martio, O.; Martio, Olli
Homepage: https://researchportal.helsinki.fi/en/persons/olli-martio
External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · IdRef
Documents Indexed: 189 Publications since 1967, including 7 Books
9 Contributions as Editor
Reviewing Activity: 325 Reviews
Biographic References: 3 Publications
Co-Authors: 70 Co-Authors with 150 Joint Publications
1,969 Co-Co-Authors
all top 5

Co-Authors

48 single-authored
40 Vuorinen, Matti Keijo Kustaa
25 Gutlyanskiĭ, Vladimir Ya.
24 Ryazanov, Vladimir Il’ich
17 Miklyukov, Vladimir Mikhaiĭlovich
14 Srebro, Uri
9 Dovgoshey, Oleksiy Alfredovich
9 Kinnunen, Juha
8 Kilpeläinen, Tero
8 Li, Gongbao
8 Väisälä, Jussi
7 Heinonen, Juha
6 Lindqvist, Peter
6 Malý, Jan
5 Gehring, Frederick William
5 Honzlová Exnerová, Vendula
5 Rickman, Seppo Uolevi
5 Yakubov, Eduard H.
4 Granlund, Seppo
4 Koskela, Pekka
4 Ławrynowicz, Julian
3 Bojarski, Bogdan
3 Laine, Ilpo
3 Näkki, Raimo
2 Hag, Kari
2 Sarvas, Jukka
2 Sugawa, Toshiyuki
1 Atiyah, Michael Francis
1 Avkhadiev, Farit Gabidinovich
1 Bishop, Christopher James
1 Björn, Anders
1 Botvinnik, V. A.
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Dubinin, Vladimir N.
1 Fernández Pérez, José Luis
1 Franke, Dirk Christoph
1 Fuchs, Martin
1 Gol’dstein, Vladimir Mikailovitch
1 Goryainov, Viktor V.
1 Grigor’yan, Alexander Asaturovich
1 Hag, Per
1 Hajłasz, Piotr
1 Harjulehto, Petteri
1 Hästö, Peter A.
1 Kalenda, Ondřej F. K.
1 Kallunki, Sari
1 Kesel’man, V. M.
1 Klyachin, Vladimir Aleksandrovich
1 Latfullin, T. G.
1 Loboda, Aleksandr Vasil’evich
1 Marola, Niko
1 Nirenberg, Louis
1 Øksendal, Bernt Karsten
1 Pelikh, V. I.
1 Pinchuk, Sergey
1 Ponnusamy, Saminathan
1 Porru, Giovanni
1 Reshetnyak, Yuriĭ Grigor’evich
1 Romanov, Aleksandr Sergeevich
1 Rzazanov, V.
1 Saksman, Eero
1 Sbordone, Carlo
1 Sergeev, Armen Glebovich
1 Tarazov, Promarz M.
1 Tkachev, Vladimir G.
1 Vodop’yanov, Sergeĭ Konstantinovich
1 Wisk, R.
1 Zając, Józef
1 Zhuravlëv, I. V.
1 Ziemer, William Paul
1 Zorich, Vladimir Antonovich
all top 5

Serials

12 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
10 Doklady Mathematics
9 Annales Academiae Scientiarum Fennicae. Series A I
7 Journal d’Analyse Mathématique
6 Revue Roumaine de Mathématiques Pures et Appliquées
6 Annales Academiae Scientiarum Fennicae. Mathematica
5 Arkhimedes
5 Mathematica Scandinavica
5 Complex Variables. Theory and Application
4 Indiana University Mathematics Journal
4 Results in Mathematics
4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
4 Bericht. Universität Jyväskylä. Mathematisches Institut
3 Arkiv för Matematik
3 Bulletin of the London Mathematical Society
3 Proceedings of the American Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Acta Mathematica
2 Collectanea Mathematica
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Pacific Journal of Mathematics
2 Transactions of the American Mathematical Society
2 Siberian Advances in Mathematics
2 Expositiones Mathematicae
2 Journal of Mathematical Sciences (New York)
2 Izvestiya: Mathematics
2 Conformal Geometry and Dynamics
2 Computational Methods and Function Theory
2 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 Houston Journal of Mathematics
1 Israel Journal of Mathematics
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Ricerche di Matematica
1 Siberian Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Forum Mathematicum
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 Potential Analysis
1 Mathematical Research Letters
1 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Annals of Combinatorics
1 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
1 Advanced Nonlinear Studies
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Boundary Value Problems
1 Bulletin of the American Mathematical Society
1 Pure and Applied Mathematics Quarterly
1 Banach Center Publications
1 Textos de Matemática. Série B
1 Journal of Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 EMS Tracts in Mathematics
1 Advances in Calculus of Variations
1 Nonlinear Analysis. Theory, Methods & Applications
1 Oxford Mathematical Monographs
1 Dover Books on Mathematics
1 Annales Fennici Mathematici

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 3,674 times in 2,307 Documents Cited by Year
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
759
1993
Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
308
2006
Moduli in modern mapping theory. Zbl 1175.30020
Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard
222
2009
Injectivity theorems in plane and space. Zbl 0406.30013
Martio, O.; Sarvas, J.
191
1979
Definitions for quasiregular mappings. Zbl 0189.09204
Martio, O.; Rickman, S.; Väisälä, J.
142
1969
Quasiextremal distance domains and extension of quasiconformal mappings. Zbl 0596.30031
Gehring, F. W.; Martio, O.
75
1985
Lusin’s condition (N) and mappings of the class \(W^{1,n}\). Zbl 0812.30007
Malý, Jan; Martio, Olli
74
1995
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
72
1996
Distortion and singularities of quasiregular mappings. Zbl 0197.05702
Martio, O.; Rickman, S.; Väisälä, J.
71
1970
Topological and metric properties of quasiregular mappings. Zbl 0223.30018
Martio, O.; Rickman, S.; Väisälä, J.
70
1971
Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025
Hajłasz, Piotr; Martio, Olli
67
1997
Lipschitz classes and quasiconformal mappings. Zbl 0584.30018
Gehring, F. W.; Martio, O.
66
1985
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
62
2006
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
61
2000
Nonlinear potential theory of metric spaces. Zbl 1030.46040
Kinnunen, Juha; Martio, Olli
60
2002
Mappings with finite length distortion. Zbl 1084.30021
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
56
2004
Two theorems of N. Wiener for solutions of quasilinear elliptic equations. Zbl 0607.35042
Lindqvist, P.; Martio, O.
52
1985
On conformal dilatation in space. Zbl 1133.30319
Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti
52
2003
On harmonic quasiconformal mappings. Zbl 0162.37902
Martio, O.
52
1968
Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002
Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir
52
2013
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
41
2005
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
40
1997
Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023
Martio, O.; Vuorinen, M.
39
1987
On \(Q\)-homeomorphisms. Zbl 1071.30019
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
38
2005
Definitions for uniform domains. Zbl 0469.30017
Martio, O.
37
1980
Elliptic equations and maps of bounded length distortion. Zbl 0632.35021
Martio, O.; Väisälä, J.
35
1988
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
32
2003
Conformally invariant variational integrals. Zbl 0518.30024
Granlund, S.; Lindqvist, P.; Martio, O.
29
1983
John domains, bilipschitz balls and Poincaré inequality. Zbl 0652.30012
Martio, O.
28
1988
Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032
Martio, O.; Ziemer, William P.
26
1992
Note on the PWB-method in the nonlinear case. Zbl 0633.31004
Granlund, S.; Lindqvist, P.; Martio, O.
24
1986
\(Q\)-homeomorphisms. Zbl 1069.30039
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
23
2004
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
22
2000
Quasilines and conformal mappings. Zbl 0677.30012
Fernández, José L.; Heinonen, Juha; Martio, Olli
22
1989
Stability in obstacle problems. Zbl 0839.35050
Li, Gongbao; Martio, O.
21
1994
Periodic quasimeromorphic mappings in \(R^n\). Zbl 0317.30025
Martio, Olli; Srebro, Uri
21
1975
Quasihyperbolic geodesics in John domains. Zbl 0702.30007
Gehring, F. W.; Hag, K.; Martio, O.
19
1989
BMO and injectivity of space quasiregular mappings. Zbl 0935.30016
Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti
18
1999
Boundary behavior of quasiregular mappings. Zbl 0266.30029
Martio, O.; Rickman, S.
17
1972
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
16
2003
Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016
Martio, O.; Sbordone, Carlo
15
2007
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
15
1992
Automorphic quasimeromorphic mappings in \(R^n\). Zbl 0329.30012
Martio, Olli; Srebro, Uri
14
1975
A capacity inequality for quasiregular mappings. Zbl 0202.07402
Martio, O.
14
1970
Local and global integrability of gradients in obstacle problems. Zbl 0803.35059
Li, Gongbao; Martio, Olli
13
1994
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
13
1993
Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
13
2000
F-harmonic measure in space. Zbl 0468.30015
Granlund, S.; Lindqvist, P.; Martio, O.
13
1982
Reflection principle for solutions of elliptic partial differential equations and quasiregular mappings. Zbl 0473.30016
Martio, O.
13
1981
On convergence theorems for space quasiregular mappings. Zbl 0907.30024
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
12
1998
Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071
Li, Gongbao; Martio, Olli
12
1998
Rotation estimates and spirals. Zbl 0981.30014
Gutlyanskii, Vladimir; Martio, Olli
12
2001
Conformality of a quasiconformal mapping at a point. Zbl 1070.30007
Gutlyanskiĭ, Vladimir; Martio, Olli
11
2003
Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056
Li, Gongbao; Martio, O.
11
2002
Boundary Hölder continuity and quasiconformal mappings. Zbl 0755.30026
Martio, Olli; Näkki, Raimo
11
1991
Tangent spaces to general metric spaces. Zbl 1265.54117
Dovgoshey, Oleksiy; Martio, Olli
11
2011
Large solutions of quasilinear elliptic equations in the degenrate case. Zbl 0960.35029
Martio, Olli; Porru, Giovanni
10
1999
On existence and uniqueness of degenerate Beltrami equation. Zbl 1066.30022
Martio, Olli; Miklyukov, Vladimir
10
2004
Blow up of balls and coverings in metric spaces. Zbl 1155.54017
Dovgoshey, Oleksiy; Martio, Olli
10
2008
Density conditions in the n-capacity. Zbl 0365.30014
Martio, O.; Sarvas, J.
10
1977
On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012
Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
10
1998
On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
10
2001
Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088
Dovgoshey, Oleksiy; Martio, Olli
10
2009
Counterexamples for unique continuation. Zbl 0653.30013
Martio, Olli
10
1988
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
9
2007
Equicontinuity theorem with an application to variational integrals. Zbl 0357.30017
Martio, O.
9
1975
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
9
2016
Functions transferring metrics to metrics. Zbl 1276.54020
Dovgoshey, O.; Martio, O.
9
2013
Locally injective automorphic mappings in \(\mathbb{R}^n\). Zbl 0953.30010
Martio, O.; Srebro, U.
8
1999
Quasidisks and the Hardy-Littlewood property. Zbl 0574.30026
Gehring, F. W.; Martio, O.
8
1983
Capacity and measure densities. Zbl 0408.31008
Martio, O.
8
1979
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
8
1989
On the local behaviour of quasi-regular space mappings. Zbl 0932.30017
Vuorinen, M.; Martio, O.; Ryazanov, V. I.
7
1998
Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
7
2005
Global \(L^ p\)-integrability of the derivative of a quasiconformal mapping. Zbl 0601.30024
Martio, O.; Väisälä, J.
7
1988
Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023
Harjulehto, Petteri; Hästö, Peter; Martio, Olli
7
2004
Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\). Zbl 1403.30023
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
7
2018
Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001
Björn, Anders; Martio, Olli
7
2009
Quasihyperbolic geodesics in convex domains. II. Zbl 1246.30041
Martio, Olli; Väisälä, Jussi
7
2011
Metrization of weighted graphs. Zbl 1272.05031
Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti
7
2013
Modulus in Banach function spaces. Zbl 1396.30010
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
7
2017
Reflection principle for quasiminimizers. Zbl 1183.31003
Martio, Olli
6
2009
On the integrability of the derivative of a quasiregular mapping. Zbl 0296.30019
Martio, O.
6
1974
Quasiregular mappings and \(\mathcal W\mathcal T\)-classes of differential forms on Riemannian manifolds. Zbl 1063.30023
Franke, D.; Martio, O.; Miklyukov, V. M.; Vuorinen, M.; Wisk, R.
6
2002
The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006
Martio, O.
6
2016
Phragmén-Lindelöf’s and Lindelöf’s theorems. Zbl 0594.30022
Granlund, S.; Lindqvist, P.; Martio, O.
6
1985
Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025
Martio, Olli
6
2013
ACL homeomorphisms and linear dilatation. Zbl 0990.30014
Kallunki, S.; Martio, O.
5
2002
Nonlinear potential theory of degenerate elliptic equations. With a new preface, corrigenda, and epilogue consisting of other new material. Reprint of the 2006 edition. Zbl 1418.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
5
2018
On the existence of automorphic quasimeromorphic mappings in \(R^n\). Zbl 0383.30010
Martio, O.; Srebro, U.
5
1977
Regularity and polar sets for supersolutions of certain degenerate elliptic equations. Zbl 0678.35025
Lindqvist, P.; Martio, O.
5
1988
Quasilinear Riccati type equations and quasiminimizers. Zbl 1218.35099
Martio, O.
5
2011
Removability theorems for quasiregular mappings. Zbl 0717.30015
Koskela, P.; Martio, O.
4
1990
On \(k\)-periodic quasiregular mappings in \(R^n\). Zbl 0325.30025
Martio, O.
4
1975
Capacity and potential estimates for quasiminimizers. Zbl 1275.31003
Martio, Olli
4
2011
On regularity of quasiconformal curves. Zbl 1216.30025
Gutlyanskiĭ, Vladimir; Martio, Olli
3
2002
Maximal operator and superharmonicity. Zbl 0969.42008
Kinnunen, Juha; Martio, Olli
3
2000
On some properties of quasiplanes. Zbl 1030.30019
Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M.
3
2002
Measure properties of the branch set and its image of quasiregular mappings. Zbl 0265.30027
Martio, O.; Rickman, S.
3
1973
On the local behavior of quasiregular maps and branched covering maps. Zbl 0441.30027
Martio, Olli; Srebro, Uri
3
1979
\(A\)-harmonic equation and cavitation. Zbl 1516.30029
Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir
2
2023
\(\mathrm{AM}\)-modulus and Hausdorff measure of codimension one in metric measure spaces. Zbl 1530.28001
Honzlová-Exnerová, Vendula; Malý, Jan; Martio, Olli
1
2022
Plans on measures and AM-modulus. Zbl 1484.46041
Honzlová Exnerová, Vendula; Kalenda, Ondřej F. K.; Malý, Jan; Martio, Olli
3
2021
An alternative capacity in metric measure spaces. Zbl 1477.31039
Martio, Olli
1
2021
Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\). Zbl 1403.30023
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
7
2018
Nonlinear potential theory of degenerate elliptic equations. With a new preface, corrigenda, and epilogue consisting of other new material. Reprint of the 2006 edition. Zbl 1418.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
5
2018
Modulus in Banach function spaces. Zbl 1396.30010
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
7
2017
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
9
2016
The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006
Martio, O.
6
2016
Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002
Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir
52
2013
Functions transferring metrics to metrics. Zbl 1276.54020
Dovgoshey, O.; Martio, O.
9
2013
Metrization of weighted graphs. Zbl 1272.05031
Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti
7
2013
Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025
Martio, Olli
6
2013
Tangent spaces to general metric spaces. Zbl 1265.54117
Dovgoshey, Oleksiy; Martio, Olli
11
2011
Quasihyperbolic geodesics in convex domains. II. Zbl 1246.30041
Martio, Olli; Väisälä, Jussi
7
2011
Quasilinear Riccati type equations and quasiminimizers. Zbl 1218.35099
Martio, O.
5
2011
Capacity and potential estimates for quasiminimizers. Zbl 1275.31003
Martio, Olli
4
2011
On a theorem of Lindelöf. Zbl 1252.30017
Gutlyanskiĭ, Vladimir; Martio, Olli; Ryazanov, Vladimir
2
2011
Wiman and Arima theorems for quasiregular mappings. Zbl 1226.30025
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
2
2010
Ahlfors theorems for differential forms. Zbl 1211.30039
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
1
2010
Moduli in modern mapping theory. Zbl 1175.30020
Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard
222
2009
Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088
Dovgoshey, Oleksiy; Martio, Olli
10
2009
Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001
Björn, Anders; Martio, Olli
7
2009
Reflection principle for quasiminimizers. Zbl 1183.31003
Martio, Olli
6
2009
Blow up of balls and coverings in metric spaces. Zbl 1155.54017
Dovgoshey, Oleksiy; Martio, Olli
10
2008
Nonlinear potential theory in metric spaces. Zbl 1169.31300
Martio, Olli
1
2008
Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016
Martio, O.; Sbordone, Carlo
15
2007
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
9
2007
On quasiplanes in Euclidean spaces. Zbl 1111.30013
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
1
2007
Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
308
2006
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
62
2006
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
41
2005
On \(Q\)-homeomorphisms. Zbl 1071.30019
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
38
2005
Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
7
2005
Functions monotone close to boundary. Zbl 1099.31004
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
1
2005
Mappings with finite length distortion. Zbl 1084.30021
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
56
2004
\(Q\)-homeomorphisms. Zbl 1069.30039
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
23
2004
On existence and uniqueness of degenerate Beltrami equation. Zbl 1066.30022
Martio, Olli; Miklyukov, Vladimir
10
2004
Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023
Harjulehto, Petteri; Hästö, Peter; Martio, Olli
7
2004
Boundary accessibility of a domain quasiconformally equivalent to a ball. Zbl 1040.30010
Martio, Olli; Näkki, Raimo
2
2004
On conformal dilatation in space. Zbl 1133.30319
Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti
52
2003
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
32
2003
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
16
2003
Conformality of a quasiconformal mapping at a point. Zbl 1070.30007
Gutlyanskiĭ, Vladimir; Martio, Olli
11
2003
On the conformality of a quasiconformal mapping at a point. Zbl 1123.30011
Gutlyanskii, V. Ya.; Martio, O.
1
2003
Generalized Wiman and Arima theorems for \(n\)-subharmonic functions on cones. Zbl 1048.31007
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
1
2003
Nonlinear potential theory of metric spaces. Zbl 1030.46040
Kinnunen, Juha; Martio, Olli
60
2002
Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056
Li, Gongbao; Martio, O.
11
2002
Quasiregular mappings and \(\mathcal W\mathcal T\)-classes of differential forms on Riemannian manifolds. Zbl 1063.30023
Franke, D.; Martio, O.; Miklyukov, V. M.; Vuorinen, M.; Wisk, R.
6
2002
ACL homeomorphisms and linear dilatation. Zbl 0990.30014
Kallunki, S.; Martio, O.
5
2002
On regularity of quasiconformal curves. Zbl 1216.30025
Gutlyanskiĭ, Vladimir; Martio, Olli
3
2002
On some properties of quasiplanes. Zbl 1030.30019
Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M.
3
2002
On Hölder continuity of quasiconformal maps with VMO dilatation. Zbl 1021.30018
Gutlyanskij, V.; Martio, O.; Vuorinen, M.
1
2002
Rotation estimates and spirals. Zbl 0981.30014
Gutlyanskii, Vladimir; Martio, Olli
12
2001
On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
10
2001
Harnack’s inequality for \(p\)-harmonic functions on Riemannian manifolds for different exhaustions. Zbl 1043.31006
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
1
2001
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
61
2000
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
22
2000
Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
13
2000
Maximal operator and superharmonicity. Zbl 0969.42008
Kinnunen, Juha; Martio, Olli
3
2000
Modern tools in the theory of quasiconformal maps. Zbl 0997.30014
Martio, Olli
2
2000
Stability of harmonic measures. Zbl 1024.31008
Li, Gongbao; Martio, O.
1
2000
On the weak Lipschitz condition for quasiconformal mappings. Zbl 1044.30010
Vuorinen, M.; Gutlyanskij, V. Ya.; Martio, O.
1
2000
BMO and injectivity of space quasiregular mappings. Zbl 0935.30016
Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti
18
1999
Large solutions of quasilinear elliptic equations in the degenrate case. Zbl 0960.35029
Martio, Olli; Porru, Giovanni
10
1999
Locally injective automorphic mappings in \(\mathbb{R}^n\). Zbl 0953.30010
Martio, O.; Srebro, U.
8
1999
Critical points of \(A\)-solutions of quasilinear elliptic equations. Zbl 0964.35062
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
2
1999
Normal families, multiplicity and the branch set of quasiregular maps. Zbl 0923.30015
Martio, O.; Srebro, U.; Väisälä, J.
2
1999
On convergence theorems for space quasiregular mappings. Zbl 0907.30024
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
12
1998
Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071
Li, Gongbao; Martio, Olli
12
1998
On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012
Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
10
1998
On the local behaviour of quasi-regular space mappings. Zbl 0932.30017
Vuorinen, M.; Martio, O.; Ryazanov, V. I.
7
1998
On the asymptotic behavior of quasiconformal mappings in space. Zbl 0892.30021
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
2
1998
Morrey’s lemma on Riemannian manifolds. Zbl 0928.46017
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
2
1998
The local behavior of quasiconformal maps in space. Zbl 0959.30011
Vuorinen, M.; Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.
1
1998
Second order obstacle problems for vectorial functions and integrands with subquadratic growth. Zbl 0910.49002
Fuchs, M.; Li, Gongbao; Martio, O.
1
1998
Quasiconformal geometry and dynamics. II. Zbl 1134.30300
1
1998
Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025
Hajłasz, Piotr; Martio, Olli
67
1997
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
40
1997
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
72
1996
16th Rolf Nevanlinna colloquium. Proceedings of the international conference held in Joensuu, Finland, August 1–5, 1995. Zbl 0852.00025
2
1996
Fluid flow in a medium distorted by a quasiconformal map can produce fractal boundaries. Zbl 0877.76073
Martio, Olli; Øksendal, Bernt
2
1996
Differential forms and quasiregular mappings on Riemannian manifolds. Zbl 0899.58065
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
1
1996
The Phragmen-Lindelöf principle for quasiregular mappings of manifolds and the isoperimetry. Zbl 0886.30020
Vuorinen, M.; Martio, O.; Miklyukov, V. M.
1
1996
Lusin’s condition (N) and mappings of the class \(W^{1,n}\). Zbl 0812.30007
Malý, Jan; Martio, Olli
74
1995
On the fusion problem for degenerate elliptic equations. Zbl 0824.35040
Kilpeläinen, T.; Koskela, P.; Martio, O.
1
1995
Stability in obstacle problems. Zbl 0839.35050
Li, Gongbao; Martio, O.
21
1994
Local and global integrability of gradients in obstacle problems. Zbl 0803.35059
Li, Gongbao; Martio, Olli
13
1994
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
759
1993
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
13
1993
Bounded turning and passability. Zbl 0786.30017
Martio, O.; Väisälä, J.
2
1993
Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032
Martio, O.; Ziemer, William P.
26
1992
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
15
1992
Partial differential equations and quasiregular mappings. Zbl 0794.35052
Martio, Olli
1
1992
Boundary Hölder continuity and quasiconformal mappings. Zbl 0755.30026
Martio, Olli; Näkki, Raimo
11
1991
Quasisimilarities. Zbl 0758.30016
Martio, Olli
1
1991
Removability theorems for quasiregular mappings. Zbl 0717.30015
Koskela, P.; Martio, O.
4
1990
Quasilines and conformal mappings. Zbl 0677.30012
Fernández, José L.; Heinonen, Juha; Martio, Olli
22
1989
Quasihyperbolic geodesics in John domains. Zbl 0702.30007
Gehring, F. W.; Hag, K.; Martio, O.
19
1989
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
8
1989
...and 40 more Documents
all top 5

Cited by 1,731 Authors

97 Sevost’yanov, Yevgen Oleksandrovych
57 Salimov, Ruslan Radikovich
54 Ryazanov, Vladimir Il’ich
52 Koskela, Pekka
50 Björn, Jana
50 Martio, Olli
49 Björn, Anders
43 Vuorinen, Matti Keijo Kustaa
42 Shanmugalingam, Nageswari
30 Gutlyanskiĭ, Vladimir Ya.
26 Ukhlov, Alexander Dadar-Oolovich
25 Ponnusamy, Saminathan
24 Gol’dshtein, Vladimir Mikhailovich
24 Vodop’yanov, Sergeĭ Konstantinovich
23 Heinonen, Juha
22 Kalaj, David
22 Xiao, Jie
21 Golberg, Anatoly
21 Nguyen Cong Phuc
20 Byun, Sun-Sig
20 Kilpeläinen, Tero
20 Wang, Xiantao
19 Kinnunen, Juha
18 Dovgoshey, Oleksiy Alfredovich
18 Lewis, John L.
18 Onninen, Jani
18 Zhou, Qingshan
17 Ding, Shusen
17 Harjulehto, Petteri
17 Iwaniec, Tadeusz
17 Lahti, Panu
17 Malý, Jan
17 Verbitsky, Igor E.
16 Afanas’eva, Elena Sergeevna
16 Cavalheiro, Albo Carlos
16 Mingione, Giuseppe
16 Parviainen, Mikko
16 Rasila, Antti
16 Shimomura, Tetsu
16 Yakubov, Eduard H.
15 Holopainen, Ilkka
15 Srebro, Uri
14 Adamowicz, Tomasz
14 Akman, Murat
14 Hästö, Peter A.
14 Kuusi, Tuomo
14 Lehrbäck, Juha
14 Li, Yaxiang
14 Lindqvist, Peter
14 Marola, Niko
13 Fletcher, Alastair N.
13 Hajłasz, Piotr
13 Hencl, Stanislav
13 Korte, Riikka
13 Miklyukov, Vladimir Mikhaiĭlovich
13 Mizuta, Yoshihiro
13 Pankka, Pekka
13 Vogel, Andrew L.
12 Gao, Hongya
12 Guo, Changyu
12 Hofmann, Steve
12 Hurri-Syrjānen, Ritva
12 Skvortsov, Sergei Aleksandrovich
12 Vähäkangas, Antti V.
12 Väisälä, Jussi
12 Wang, Lihe
11 Bao, Gejun
11 Dal Maso, Gianni
11 Herron, David A.
11 Huang, Manzi
11 Liu, Feng
11 Manfredi, Juan J.
11 Otárola, Enrique
10 Bucur, Dorin
10 Chen, Shaolin
10 Lukkari, Teemu
10 Martell, José María (Chema)
9 Dovhopiatyi, Oleksandr Petrovych
9 Jiang, Renjin
9 Kovtonyuk, D. A.
9 Latvala, Visa
9 Nesmelova, Ol’ga Vladimirovna
9 Rajala, Kai
9 Rickman, Seppo Uolevi
9 Rodríguez García, José Manuel
9 Tuominen, Heli
9 Valdinoci, Enrico
8 Abdellaoui, Mohammed Amin
8 Astala, Kari
8 Chlebicka, Iwona
8 Fernández-Sánchez, Juan
8 Garain, Prashanta
8 Hara, Takanobu
8 Hirata, Kentaro
8 Klishchuk, Bogdan Anatol’evich
8 Nolder, Craig A.
8 Pchelintsev, Valery Anatol’evich
8 Petrov, Evgenii Aleksandrovich
8 Pinchover, Yehuda
8 Toro, Tatiana
...and 1,631 more Authors
all top 5

Cited in 324 Serials

109 Journal of Mathematical Analysis and Applications
93 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
89 Journal of Mathematical Sciences (New York)
78 Journal d’Analyse Mathématique
71 Potential Analysis
70 Journal of Differential Equations
70 Proceedings of the American Mathematical Society
66 Calculus of Variations and Partial Differential Equations
59 Journal of Functional Analysis
52 Transactions of the American Mathematical Society
51 Ukrainian Mathematical Journal
49 The Journal of Geometric Analysis
46 Complex Variables and Elliptic Equations
37 Siberian Mathematical Journal
33 Advances in Mathematics
29 Archive for Rational Mechanics and Analysis
29 Mathematische Zeitschrift
27 Annales Academiae Scientiarum Fennicae. Mathematica
26 Manuscripta Mathematica
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Computational Methods and Function Theory
22 Analysis and Mathematical Physics
21 Arkiv för Matematik
21 Mathematische Annalen
21 Conformal Geometry and Dynamics
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
20 Advances in Calculus of Variations
18 Complex Analysis and Operator Theory
18 Annales Fennici Mathematici
17 Israel Journal of Mathematics
17 Mathematical Notes
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Mathematische Nachrichten
16 Journal of Inequalities and Applications
14 Revista Matemática Iberoamericana
13 Duke Mathematical Journal
13 Monatshefte für Mathematik
13 Communications in Partial Differential Equations
12 Acta Mathematica
12 St. Petersburg Mathematical Journal
12 NoDEA. Nonlinear Differential Equations and Applications
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
12 Analysis and Geometry in Metric Spaces
11 Acta Mathematica Sinica. English Series
11 Advances in Nonlinear Analysis
10 Inventiones Mathematicae
10 Results in Mathematics
10 Boundary Value Problems
10 Journal of Elliptic and Parabolic Equations
9 Journal of Approximation Theory
9 Nagoya Mathematical Journal
9 SIAM Journal on Mathematical Analysis
9 Lobachevskii Journal of Mathematics
9 Communications on Pure and Applied Analysis
8 Rocky Mountain Journal of Mathematics
8 Annales de l’Institut Fourier
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Sibirskie Èlektronnye Matematicheskie Izvestiya
7 Computers & Mathematics with Applications
7 Mathematical Methods in the Applied Sciences
7 Journal of the London Mathematical Society. Second Series
7 Journal of the Mathematical Society of Japan
7 Tôhoku Mathematical Journal. Second Series
7 Advances in Applied Clifford Algebras
7 Bulletin des Sciences Mathématiques
7 Matematychni Studiï
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Science China. Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Czechoslovak Mathematical Journal
6 Illinois Journal of Mathematics
6 Michigan Mathematical Journal
6 Proceedings of the Japan Academy. Series A
6 Ricerche di Matematica
6 Topology and its Applications
6 Doklady Mathematics
6 Abstract and Applied Analysis
6 Journal of Evolution Equations
6 Mediterranean Journal of Mathematics
6 Journal of Fixed Point Theory and Applications
6 Nonlinear Analysis. Theory, Methods & Applications
6 Mathematics in Engineering
5 Applicable Analysis
5 Bulletin of the Australian Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Collectanea Mathematica
5 Indiana University Mathematics Journal
5 Journal für die Reine und Angewandte Mathematik
5 Acta Mathematica Hungarica
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Expositiones Mathematicae
5 Georgian Mathematical Journal
5 Sbornik: Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Positivity
5 Revista Matemática Complutense
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
...and 224 more Serials
all top 5

Cited in 60 Fields

932 Partial differential equations (35-XX)
845 Functions of a complex variable (30-XX)
486 Potential theory (31-XX)
440 Functional analysis (46-XX)
211 Real functions (26-XX)
170 Calculus of variations and optimal control; optimization (49-XX)
109 Measure and integration (28-XX)
104 Differential geometry (53-XX)
101 Harmonic analysis on Euclidean spaces (42-XX)
100 Global analysis, analysis on manifolds (58-XX)
96 Operator theory (47-XX)
55 General topology (54-XX)
45 Dynamical systems and ergodic theory (37-XX)
43 Probability theory and stochastic processes (60-XX)
40 Mechanics of deformable solids (74-XX)
39 Fluid mechanics (76-XX)
35 Several complex variables and analytic spaces (32-XX)
30 Numerical analysis (65-XX)
21 Manifolds and cell complexes (57-XX)
20 Approximations and expansions (41-XX)
18 Geometry (51-XX)
14 Abstract harmonic analysis (43-XX)
14 Convex and discrete geometry (52-XX)
13 Ordinary differential equations (34-XX)
9 Topological groups, Lie groups (22-XX)
9 Optics, electromagnetic theory (78-XX)
9 Biology and other natural sciences (92-XX)
8 Difference and functional equations (39-XX)
8 Integral equations (45-XX)
7 Statistics (62-XX)
7 Quantum theory (81-XX)
7 Information and communication theory, circuits (94-XX)
6 Combinatorics (05-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Number theory (11-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Mechanics of particles and systems (70-XX)
5 Operations research, mathematical programming (90-XX)
4 Mathematical logic and foundations (03-XX)
4 Algebraic geometry (14-XX)
4 Computer science (68-XX)
4 Systems theory; control (93-XX)
3 Sequences, series, summability (40-XX)
3 Algebraic topology (55-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.