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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: 186 Publications since 1967, including 7 Books
9 Contributions as Editor
Reviewing Activity: 322 Reviews
Biographic References: 3 Publications
Co-Authors: 70 Co-Authors with 148 Joint Publications
1,834 Co-Co-Authors
all top 5

Co-Authors

47 single-authored
40 Vuorinen, Matti Keijo Kustaa
24 Gutlyanskiĭ, Vladimir Ya.
23 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
5 Gehring, Frederick William
5 Malý, Jan
5 Rickman, Seppo Uolevi
5 Yakubov, Eduard H.
4 Granlund, Seppo
4 Honzlová Exnerová, Vendula
4 Koskela, Pekka
4 Ławrynowicz, Julian Mieczysław
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, Evgeni M.
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, Alexander 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 Complex Variables. Theory and Application
4 Indiana University Mathematics Journal
4 Mathematica Scandinavica
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 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 Mathematische Nachrichten
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

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 2,986 times in 1,881 Documents Cited by Year
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
598
1993
Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
220
2006
Moduli in modern mapping theory. Zbl 1175.30020
Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard
177
2009
Injectivity theorems in plane and space. Zbl 0406.30013
Martio, O.; Sarvas, J.
160
1979
Definitions for quasiregular mappings. Zbl 0189.09204
Martio, O.; Rickman, S.; Väisälä, J.
110
1969
Quasiextremal distance domains and extension of quasiconformal mappings. Zbl 0596.30031
Gehring, F. W.; Martio, O.
66
1985
Lusin’s condition (N) and mappings of the class \(W^{1,n}\). Zbl 0812.30007
Malý, Jan; Martio, Olli
65
1995
Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025
Hajłasz, Piotr; Martio, Olli
60
1997
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
59
1996
Distortion and singularities of quasiregular mappings. Zbl 0197.05702
Martio, O.; Rickman, S.; Väisälä, J.
58
1970
Topological and metric properties of quasiregular mappings. Zbl 0223.30018
Martio, O.; Rickman, S.; Väisälä, J.
58
1971
Lipschitz classes and quasiconformal mappings. Zbl 0584.30018
Gehring, F. W.; Martio, O.
54
1985
Nonlinear potential theory of metric spaces. Zbl 1030.46040
Kinnunen, Juha; Martio, Olli
51
2002
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
50
2000
On conformal dilatation in space. Zbl 1133.30319
Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti
49
2003
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
48
2006
Two theorems of N. Wiener for solutions of quasilinear elliptic equations. Zbl 0607.35042
Lindqvist, P.; Martio, O.
45
1985
Mappings with finite length distortion. Zbl 1084.30021
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
45
2004
On harmonic quasiconformal mappings. Zbl 0162.37902
Martio, O.
43
1968
Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002
Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir
36
2013
Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023
Martio, O.; Vuorinen, M.
34
1987
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
33
2005
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
31
1997
Definitions for uniform domains. Zbl 0469.30017
Martio, O.
31
1980
Conformally invariant variational integrals. Zbl 0518.30024
Granlund, S.; Lindqvist, P.; Martio, O.
30
1983
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
30
2003
Elliptic equations and maps of bounded length distortion. Zbl 0632.35021
Martio, O.; Väisälä, J.
29
1988
On \(Q\)-homeomorphisms. Zbl 1071.30019
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
25
2005
Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032
Martio, O.; Ziemer, William P.
24
1992
John domains, bilipschitz balls and Poincaré inequality. Zbl 0652.30012
Martio, O.
24
1988
Note on the PWB-method in the nonlinear case. Zbl 0633.31004
Granlund, S.; Lindqvist, P.; Martio, O.
21
1986
Quasilines and conformal mappings. Zbl 0677.30012
Fernández, José L.; Heinonen, Juha; Martio, Olli
21
1989
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
21
2000
Periodic quasimeromorphic mappings in \(R^n\). Zbl 0317.30025
Martio, Olli; Srebro, Uri
19
1975
Quasihyperbolic geodesics in John domains. Zbl 0702.30007
Gehring, F. W.; Hag, K.; Martio, O.
18
1989
Stability in obstacle problems. Zbl 0839.35050
Li, Gongbao; Martio, O.
16
1994
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
15
2003
A capacity inequality for quasiregular mappings. Zbl 0202.07402
Martio, O.
14
1970
Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016
Martio, O.; Sbordone, Carlo
14
2007
BMO and injectivity of space quasiregular mappings. Zbl 0935.30016
Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti
14
1999
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
13
1992
F-harmonic measure in space. Zbl 0468.30015
Granlund, S.; Lindqvist, P.; Martio, O.
13
1982
Local and global integrability of gradients in obstacle problems. Zbl 0803.35059
Li, Gongbao; Martio, Olli
12
1994
Boundary behavior of quasiregular mappings. Zbl 0266.30029
Martio, O.; Rickman, S.
12
1972
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
11
1993
On convergence theorems for space quasiregular mappings. Zbl 0907.30024
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
11
1998
\(Q\)-homeomorphisms. Zbl 1069.30039
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
11
2004
Reflection principle for solutions of elliptic partial differential equations and quasiregular mappings. Zbl 0473.30016
Martio, O.
11
1981
Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
11
2000
Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088
Dovgoshey, Oleksiy; Martio, Olli
10
2009
Blow up of balls and coverings in metric spaces. Zbl 1155.54017
Dovgoshey, Oleksiy; Martio, Olli
10
2008
Counterexamples for unique continuation. Zbl 0653.30013
Martio, Olli
10
1988
Rotation estimates and spirals. Zbl 0981.30014
Gutlyanskii, Vladimir; Martio, Olli
10
2001
On existence and uniqueness of degenerate Beltrami equation. Zbl 1066.30022
Martio, Olli; Miklyukov, Vladimir
10
2004
Large solutions of quasilinear elliptic equations in the degenrate case. Zbl 0960.35029
Martio, Olli; Porru, Giovanni
10
1999
Tangent spaces to general metric spaces. Zbl 1265.54117
Dovgoshey, Oleksiy; Martio, Olli
10
2011
Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056
Li, Gongbao; Martio, O.
9
2002
On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012
Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
9
1998
Automorphic quasimeromorphic mappings in \(R^n\). Zbl 0329.30012
Martio, Olli; Srebro, Uri
9
1975
Conformality of a quasiconformal mapping at a point. Zbl 1070.30007
Gutlyanskiĭ, Vladimir; Martio, Olli
9
2003
Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071
Li, Gongbao; Martio, Olli
9
1998
Equicontinuity theorem with an application to variational integrals. Zbl 0357.30017
Martio, O.
8
1975
Density conditions in the n-capacity. Zbl 0365.30014
Martio, O.; Sarvas, J.
8
1977
Functions transferring metrics to metrics. Zbl 1276.54020
Dovgoshey, O.; Martio, O.
8
2013
Quasidisks and the Hardy-Littlewood property. Zbl 0574.30026
Gehring, F. W.; Martio, O.
7
1983
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
7
2007
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
7
1989
Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
7
2005
Capacity and measure densities. Zbl 0408.31008
Martio, O.
7
1979
Locally injective automorphic mappings in \(\mathbb{R}^n\). Zbl 0953.30010
Martio, O.; Srebro, U.
7
1999
Quasihyperbolic geodesics in convex domains. II. Zbl 1246.30041
Martio, Olli; Väisälä, Jussi
7
2011
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
6
2016
Phragmén-Lindelöf’s and Lindelöf’s theorems. Zbl 0594.30022
Granlund, S.; Lindqvist, P.; Martio, O.
6
1985
Global \(L^ p\)-integrability of the derivative of a quasiconformal mapping. Zbl 0601.30024
Martio, O.; Väisälä, J.
6
1988
Reflection principle for quasiminimizers. Zbl 1183.31003
Martio, Olli
6
2009
Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001
Björn, Anders; Martio, Olli
6
2009
On the integrability of the derivative of a quasiregular mapping. Zbl 0296.30019
Martio, O.
6
1974
On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
6
2001
Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023
Harjulehto, Petteri; Hästö, Peter; Martio, Olli
6
2004
On the local behaviour of quasi-regular space mappings. Zbl 0932.30017
Vuorinen, M.; Martio, O.; Ryazanov, V. I.
6
1998
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.
5
2002
Boundary Hölder continuity and quasiconformal mappings. Zbl 0755.30026
Martio, Olli; Näkki, Raimo
5
1991
Regularity and polar sets for supersolutions of certain degenerate elliptic equations. Zbl 0678.35025
Lindqvist, P.; Martio, O.
5
1988
Modulus in Banach function spaces. Zbl 1396.30010
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
5
2017
ACL homeomorphisms and linear dilatation. Zbl 0990.30014
Kallunki, S.; Martio, O.
5
2002
On the existence of automorphic quasimeromorphic mappings in \(R^n\). Zbl 0383.30010
Martio, O.; Srebro, U.
5
1977
Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025
Martio, Olli
5
2013
Quasilinear Riccati type equations and quasiminimizers. Zbl 1218.35099
Martio, O.
4
2011
On \(k\)-periodic quasiregular mappings in \(R^n\). Zbl 0325.30025
Martio, O.
4
1975
Removability theorems for quasiregular mappings. Zbl 0717.30015
Koskela, P.; Martio, O.
4
1990
Capacity and potential estimates for quasiminimizers. Zbl 1275.31003
Martio, Olli
4
2011
The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006
Martio, O.
4
2016
Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\). Zbl 1403.30023
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
4
2018
Estimates for F-harmonic measures and \(\emptyset ksendal's\) theorem for quasiconformal mappings. Zbl 0643.35022
Heinonen, J.; Martio, O.
3
1987
Measure properties of the branch set and its image of quasiregular mappings. Zbl 0265.30027
Martio, O.; Rickman, S.
3
1973
On some properties of quasiplanes. Zbl 1030.30019
Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M.
3
2002
Metrization of weighted graphs. Zbl 1272.05031
Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti
3
2013
Fluid flow in a medium distorted by a quasiconformal map can produce fractal boundaries. Zbl 0877.76073
Martio, Olli; Øksendal, Bernt
2
1996
On the asymptotic behavior of quasiconformal mappings in space. Zbl 0892.30021
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
2
1998
Critical points of \(A\)-solutions of quasilinear elliptic equations. Zbl 0964.35062
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
2
1999
Plans on measures and AM-modulus. Zbl 1484.46041
Honzlová Exnerová, Vendula; Kalenda, Ondřej F. K.; Malý, Jan; 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
4
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
1
2018
Modulus in Banach function spaces. Zbl 1396.30010
Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli
5
2017
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
6
2016
The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006
Martio, O.
4
2016
Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002
Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir
36
2013
Functions transferring metrics to metrics. Zbl 1276.54020
Dovgoshey, O.; Martio, O.
8
2013
Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025
Martio, Olli
5
2013
Metrization of weighted graphs. Zbl 1272.05031
Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti
3
2013
Tangent spaces to general metric spaces. Zbl 1265.54117
Dovgoshey, Oleksiy; Martio, Olli
10
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.
4
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
177
2009
Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088
Dovgoshey, Oleksiy; Martio, Olli
10
2009
Reflection principle for quasiminimizers. Zbl 1183.31003
Martio, Olli
6
2009
Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001
Björn, Anders; 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
14
2007
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
7
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
220
2006
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
48
2006
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
33
2005
On \(Q\)-homeomorphisms. Zbl 1071.30019
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
25
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.
45
2004
\(Q\)-homeomorphisms. Zbl 1069.30039
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
11
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
6
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
49
2003
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
30
2003
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
15
2003
Conformality of a quasiconformal mapping at a point. Zbl 1070.30007
Gutlyanskiĭ, Vladimir; Martio, Olli
9
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
51
2002
Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056
Li, Gongbao; Martio, O.
9
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.
5
2002
ACL homeomorphisms and linear dilatation. Zbl 0990.30014
Kallunki, S.; Martio, O.
5
2002
On some properties of quasiplanes. Zbl 1030.30019
Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M.
3
2002
On regularity of quasiconformal curves. Zbl 1216.30025
Gutlyanskiĭ, Vladimir; Martio, Olli
2
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
10
2001
On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020
Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E.
6
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
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
50
2000
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
21
2000
Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
11
2000
Maximal operator and superharmonicity. Zbl 0969.42008
Kinnunen, Juha; Martio, Olli
2
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
14
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.
7
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.
11
1998
On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012
Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
9
1998
Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071
Li, Gongbao; Martio, Olli
9
1998
On the local behaviour of quasi-regular space mappings. Zbl 0932.30017
Vuorinen, M.; Martio, O.; Ryazanov, V. I.
6
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
Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025
Hajłasz, Piotr; Martio, Olli
60
1997
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
31
1997
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
59
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
65
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.
16
1994
Local and global integrability of gradients in obstacle problems. Zbl 0803.35059
Li, Gongbao; Martio, Olli
12
1994
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
598
1993
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
11
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.
24
1992
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
13
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
5
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
21
1989
Quasihyperbolic geodesics in John domains. Zbl 0702.30007
Gehring, F. W.; Hag, K.; Martio, O.
18
1989
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
7
1989
Potential theoretic aspects of nonlinear elliptic partial differential equations. Zbl 0684.35008
Martio, Olli
2
1989
Sets of zero elliptic harmonic measures. Zbl 0741.31004
Martio, O.
1
1989
Elliptic equations and maps of bounded length distortion. Zbl 0632.35021
Martio, O.; Väisälä, J.
29
1988
John domains, bilipschitz balls and Poincaré inequality. Zbl 0652.30012
Martio, O.
24
1988
Counterexamples for unique continuation. Zbl 0653.30013
Martio, Olli
10
1988
Global \(L^ p\)-integrability of the derivative of a quasiconformal mapping. Zbl 0601.30024
Martio, O.; Väisälä, J.
6
1988
...and 34 more Documents
all top 5

Cited by 1,392 Authors

80 Sevost’yanov, Yevgen Oleksandrovych
49 Koskela, Pekka
49 Ryazanov, Vladimir Il’ich
48 Salimov, Ruslan Radikovich
47 Martio, Olli
43 Björn, Anders
43 Björn, Jana
39 Vuorinen, Matti Keijo Kustaa
37 Shanmugalingam, Nageswari
23 Gutlyanskiĭ, Vladimir Ya.
23 Heinonen, Juha
21 Ponnusamy, Saminathan
20 Kalaj, David
19 Kilpeläinen, Tero
19 Vodop’yanov, Sergeĭ Konstantinovich
18 Golberg, Anatoly
18 Nguyen Cong Phuc
18 Xiao, Jie
17 Dovgoshey, Oleksiy Alfredovich
17 Gol’dshtein, Vladimir Mikhailovich
16 Ding, Shusen
16 Lewis, John L.
16 Parviainen, Mikko
16 Ukhlov, Alexander Dadar-Oolovich
16 Wang, Xiantao
15 Afanas’eva, Elena Sergeevna
15 Holopainen, Ilkka
15 Iwaniec, Tadeusz
15 Lindqvist, Peter
15 Malý, Jan
15 Mingione, Giuseppe
15 Onninen, Jani
15 Srebro, Uri
14 Byun, Sun-Sig
14 Kinnunen, Juha
14 Li, Yaxiang
14 Marola, Niko
13 Kuusi, Tuomo
13 Miklyukov, Vladimir Mikhaiĭlovich
13 Shimomura, Tetsu
13 Verbitsky, Igor E.
12 Guo, Changyu
12 Harjulehto, Petteri
12 Hästö, Peter A.
12 Korte, Riikka
12 Lahti, Panu
12 Lehrbäck, Juha
12 Pankka, Pekka
12 Skvortsov, Sergei Aleksandrovich
12 Väisälä, Jussi
12 Vogel, Andrew L.
12 Wang, Lihe
12 Yakubov, Eduard H.
11 Adamowicz, Tomasz
11 Akman, Murat
11 Fletcher, Alastair N.
11 Hajłasz, Piotr
11 Hencl, Stanislav
11 Mizuta, Yoshihiro
11 Rasila, Antti
11 Zhou, Qingshan
10 Bao, Gejun
10 Bucur, Dorin
10 Herron, David A.
10 Hurri-Syrjānen, Ritva
10 Lukkari, Teemu
10 Vähäkangas, Antti V.
9 Cavalheiro, Albo Carlos
9 Dal Maso, Gianni
9 Gao, Hongya
9 Jiang, Renjin
9 Kovtonyuk, D. A.
9 Manfredi, Juan J.
9 Rajala, Kai
9 Rickman, Seppo Uolevi
9 Rodríguez García, José Manuel
8 Astala, Kari
8 Fernández-Sánchez, Juan
8 Hirata, Kentaro
8 Hofmann, Steve
8 Huang, Manzi
8 Nolder, Craig A.
8 Otárola, Enrique
8 Petrov, Evgenii Aleksandrovich
8 Tuominen, Heli
8 Xing, Yuming
8 Zhong, Xiao
7 Chen, Shaolin
7 Habermann, Jens
7 Latvala, Visa
7 Li, Gongbao
7 Nakai, Mitsuru
7 Nyström, Kaj
7 Passarelli di Napoli, Antonia
7 Sahoo, Swadesh Kumar
7 Sbordone, Carlo
7 Yang, Shanshuang
6 Adimurthi, Karthik
6 Alkhutov, Yuriy Alexandrovich
6 Azzam, Jonas
...and 1,292 more Authors
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Cited in 271 Serials

101 Journal of Mathematical Analysis and Applications
81 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
75 Journal d’Analyse Mathématique
69 Journal of Mathematical Sciences (New York)
65 Proceedings of the American Mathematical Society
62 Potential Analysis
60 Journal of Differential Equations
56 Calculus of Variations and Partial Differential Equations
49 Journal of Functional Analysis
49 Transactions of the American Mathematical Society
43 Ukrainian Mathematical Journal
42 Complex Variables and Elliptic Equations
35 The Journal of Geometric Analysis
33 Siberian Mathematical Journal
30 Advances in Mathematics
26 Mathematische Zeitschrift
24 Archive for Rational Mechanics and Analysis
23 Annales Academiae Scientiarum Fennicae. Mathematica
22 Manuscripta Mathematica
21 Arkiv för Matematik
21 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Conformal Geometry and Dynamics
21 Computational Methods and Function Theory
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 Mathematische Annalen
18 Analysis and Mathematical Physics
17 Complex Analysis and Operator Theory
16 Mathematical Notes
15 Israel Journal of Mathematics
14 Journal of Inequalities and Applications
13 Duke Mathematical Journal
13 Monatshefte für Mathematik
12 Acta Mathematica
12 Revista Matemática Iberoamericana
12 Communications in Partial Differential Equations
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Advances in Calculus of Variations
11 Mathematische Nachrichten
10 St. Petersburg Mathematical Journal
10 NoDEA. Nonlinear Differential Equations and Applications
10 Annales Fennici Mathematici
9 Journal of Approximation Theory
9 Nagoya Mathematical Journal
9 Lobachevskii Journal of Mathematics
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Boundary Value Problems
9 Analysis and Geometry in Metric Spaces
8 Inventiones Mathematicae
8 SIAM Journal on Mathematical Analysis
8 Communications on Pure and Applied Analysis
7 Computers & Mathematics with Applications
7 Annales de l’Institut Fourier
7 Journal of the Mathematical Society of Japan
7 Results in Mathematics
7 Tôhoku Mathematical Journal. Second Series
7 Acta Mathematica Sinica. English Series
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 Illinois Journal of Mathematics
6 Michigan Mathematical Journal
6 Proceedings of the Japan Academy. Series A
6 Advances in Applied Clifford Algebras
6 Abstract and Applied Analysis
6 Sibirskie Èlektronnye Matematicheskie Izvestiya
6 Journal of Fixed Point Theory and Applications
6 Advances in Nonlinear Analysis
5 Applicable Analysis
5 Rocky Mountain Journal of Mathematics
5 Czechoslovak Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Bulletin des Sciences Mathématiques
5 Doklady Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Matematychni Studiï
5 Revista Matemática Complutense
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Bulletin of the Australian Mathematical Society
4 Mathematical Methods in the Applied Sciences
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Applied Mathematics and Optimization
4 Collectanea Mathematica
4 Publications Mathématiques
4 Zeitschrift für Analysis und ihre Anwendungen
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Stochastic Processes and their Applications
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Expositiones Mathematicae
4 Applied Mathematics. Series B (English Edition)
4 Filomat
4 Positivity
4 Advanced Nonlinear Studies
4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
4 Mediterranean Journal of Mathematics
4 Fixed Point Theory and Applications
4 Journal of Function Spaces
3 Communications in Mathematical Physics
3 The Annals of Probability
3 Indiana University Mathematics Journal
3 Integral Equations and Operator Theory
...and 171 more Serials
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Cited in 60 Fields

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

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