Edit Profile Martio, Olli Compute Distance To: Compute Author ID: martio.olli Published as: Martio, O.; Martio, Olli External Links: MGP · Wikidata Documents Indexed: 193 Publications since 1967, including 13 Books Reviewing Activity: 314 Reviews Biographic References: 3 Publications all top 5 Co-Authors 46 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 Rickman, Seppo Uolevi 5 Yakubov, Eduard H. 4 Granlund, Seppo 4 Koskela, Pekka 4 Ławrynowicz, Julian Mieczysław 4 Malý, Jan 3 Bojarski, Bogdan 3 Honzlová Exnerová, Vendula 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 Friedman, Alex 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 Kallunki, Sari 1 Kesel’man, V. M. 1 Klyachin, Vladimir Aleksandrovich 1 Latfullin, T. G. 1 Loboda, Alexander Vasil’evich 1 Losev, Alexander G. 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 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 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 Functional Analysis 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 Tohoku 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 Journal of Mathematical Sciences (New York) 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 all top 5 Fields 111 Functions of a complex variable (30-XX) 45 Partial differential equations (35-XX) 44 Potential theory (31-XX) 16 Functional analysis (46-XX) 10 Real functions (26-XX) 9 General and overarching topics; collections (00-XX) 9 Measure and integration (28-XX) 9 General topology (54-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 History and biography (01-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Manifolds and cell complexes (57-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 2,688 times in 1,690 Documents Cited by ▼ Year ▼ Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli 568 1993 Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli 176 2006 Moduli in modern mapping theory. Zbl 1175.30020Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard 153 2009 Injectivity theorems in plane and space. Zbl 0406.30013Martio, O.; Sarvas, J. 136 1979 Definitions for quasiregular mappings. Zbl 0189.09204Martio, O.; Rickman, S.; Väisälä, J. 103 1969 Quasiextremal distance domains and extension of quasiconformal mappings. Zbl 0596.30031Gehring, F. W.; Martio, O. 62 1985 Lusin’s condition (N) and mappings of the class \(W^{1,n}\). Zbl 0812.30007Malý, Jan; Martio, Olli 60 1995 The Sobolev capacity on metric spaces. Zbl 0859.46023Kinnunen, Juha; Martio, Olli 55 1996 Topological and metric properties of quasiregular mappings. Zbl 0223.30018Martio, O.; Rickman, S.; Väisälä, J. 52 1971 Distortion and singularities of quasiregular mappings. Zbl 0197.05702Martio, O.; Rickman, S.; Väisälä, J. 52 1970 Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025Hajłasz, Piotr; Martio, Olli 51 1997 On conformal dilatation in space. Zbl 1133.30319Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti 49 2003 Lipschitz classes and quasiconformal mappings. Zbl 0584.30018Gehring, F. W.; Martio, O. 49 1985 Nonlinear potential theory of metric spaces. Zbl 1030.46040Kinnunen, Juha; Martio, Olli 48 2002 Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli 43 2000 Two theorems of N. Wiener for solutions of quasilinear elliptic equations. Zbl 0607.35042Lindqvist, P.; Martio, O. 43 1985 Mappings with finite length distortion. Zbl 1084.30021Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 38 2004 The Cantor function. Zbl 1098.26006Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M. 35 2006 Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir 34 2013 On harmonic quasiconformal mappings. Zbl 0162.37902Martio, O. 34 1968 Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023Martio, O.; Vuorinen, M. 33 1987 On the degenerate Beltrami equation. Zbl 1066.30021Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M. 30 2005 Conformally invariant variational integrals. Zbl 0518.30024Granlund, S.; Lindqvist, P.; Martio, O. 30 1983 Potential theory of quasiminimizers. Zbl 1035.31007Kinnunen, Juha; Martio, Olli 29 2003 Elliptic equations and maps of bounded length distortion. Zbl 0632.35021Martio, O.; Väisälä, J. 27 1988 Definitions for uniform domains. Zbl 0469.30017Martio, O. 26 1980 Hardy’s inequalities for Sobolev functions. Zbl 0909.42014Kinnunen, Juha; Martio, Olli 25 1997 Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032Martio, O.; Ziemer, William P. 23 1992 John domains, bilipschitz balls and Poincaré inequality. Zbl 0652.30012Martio, O. 22 1988 Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023Kinnunen, Juha; Martio, Olli 21 2000 Quasilines and conformal mappings. Zbl 0677.30012Fernández, José L.; Heinonen, Juha; Martio, Olli 21 1989 On \(Q\)-homeomorphisms. Zbl 1071.30019Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 19 2005 Note on the PWB-method in the nonlinear case. Zbl 0633.31004Granlund, S.; Lindqvist, P.; Martio, O. 19 1986 Quasihyperbolic geodesics in John domains. Zbl 0702.30007Gehring, F. W.; Hag, K.; Martio, O. 16 1989 Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007Heinonen, J.; Kilpeläinen, T.; Martio, O. 15 1992 Periodic quasimeromorphic mappings in \(R^n\). Zbl 0317.30025Martio, Olli; Srebro, Uri 15 1975 A capacity inequality for quasiregular mappings. Zbl 0202.07402Martio, O. 14 1970 Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005Kinnunen, Juha; Martio, Olli 13 2003 BMO and injectivity of space quasiregular mappings. Zbl 0935.30016Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti 12 1999 Stability in obstacle problems. Zbl 0839.35050Li, Gongbao; Martio, O. 12 1994 Local and global integrability of gradients in obstacle problems. Zbl 0803.35059Li, Gongbao; Martio, Olli 12 1994 Boundary behavior of quasiregular mappings. Zbl 0266.30029Martio, O.; Rickman, S. 12 1972 Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016Martio, O.; Sbordone, Carlo 11 2007 \(Q\)-homeomorphisms. Zbl 1069.30039Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 11 2004 Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 11 2000 On convergence theorems for space quasiregular mappings. Zbl 0907.30024Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 11 1998 Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015Koskela, Pekka; Martio, Olli 11 1993 F-harmonic measure in space. Zbl 0468.30015Granlund, S.; Lindqvist, P.; Martio, O. 11 1982 On existence and uniqueness of degenerate Beltrami equation. Zbl 1066.30022Martio, Olli; Miklyukov, Vladimir 10 2004 Rotation estimates and spirals. Zbl 0981.30014Gutlyanskii, Vladimir; Martio, Olli 10 2001 Large solutions of quasilinear elliptic equations in the degenrate case. Zbl 0960.35029Martio, Olli; Porru, Giovanni 10 1999 Counterexamples for unique continuation. Zbl 0653.30013Martio, Olli 10 1988 Tangent spaces to general metric spaces. Zbl 1265.54117Dovgoshey, Oleksiy; Martio, Olli 9 2011 Conformality of a quasiconformal mapping at a point. Zbl 1070.30007Gutlyanskiĭ, Vladimir; Martio, Olli 9 2003 Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071Li, Gongbao; Martio, Olli 9 1998 On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 9 1998 Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056Li, Gongbao; Martio, O. 8 2002 Reflection principle for solutions of elliptic partial differential equations and quasiregular mappings. Zbl 0473.30016Martio, O. 8 1981 Density conditions in the n-capacity. Zbl 0365.30014Martio, O.; Sarvas, J. 8 1977 Equicontinuity theorem with an application to variational integrals. Zbl 0357.30017Martio, O. 8 1975 Quasihyperbolic geodesics in convex domains. II. Zbl 1246.30041Martio, Olli; Väisälä, Jussi 7 2011 Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001Björn, Anders; Martio, Olli 7 2009 Blow up of balls and coverings in metric spaces. Zbl 1155.54017Dovgoshey, Oleksiy; Martio, Olli 7 2008 Harnack’s principle for quasiminimizers. Zbl 1254.49010Kinnunen, Juha; Marola, Niko; Martio, O. 7 2007 Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 7 2005 Fine topology and quasilinear elliptic equations. Zbl 0659.35038Heinonen, J.; Kilpeläinen, T.; Martio, O. 7 1989 Quasidisks and the Hardy-Littlewood property. Zbl 0574.30026Gehring, F. W.; Martio, O. 7 1983 Capacity and measure densities. Zbl 0408.31008Martio, O. 7 1979 Automorphic quasimeromorphic mappings in \(R^n\). Zbl 0329.30012Martio, Olli; Srebro, Uri 7 1975 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023Harjulehto, Petteri; Hästö, Peter; Martio, Olli 6 2004 Locally injective automorphic mappings in \(\mathbb{R}^n\). Zbl 0953.30010Martio, O.; Srebro, U. 6 1999 On the local behaviour of quasi-regular space mappings. Zbl 0932.30017Vuorinen, M.; Martio, O.; Ryazanov, V. I. 6 1998 Global \(L^ p\)-integrability of the derivative of a quasiconformal mapping. Zbl 0601.30024Martio, O.; Väisälä, J. 6 1988 Phragmén-Lindelöf’s and Lindelöf’s theorems. Zbl 0594.30022Granlund, S.; Lindqvist, P.; Martio, O. 6 1985 Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025Martio, Olli 5 2013 Reflection principle for quasiminimizers. Zbl 1183.31003Martio, Olli 5 2009 Quasiregular mappings and \(\mathcal W\mathcal T\)-classes of differential forms on Riemannian manifolds. Zbl 1063.30023Franke, D.; Martio, O.; Miklyukov, V. M.; Vuorinen, M.; Wisk, R. 5 2002 On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 5 2001 Regularity and polar sets for supersolutions of certain degenerate elliptic equations. Zbl 0678.35025Lindqvist, P.; Martio, O. 5 1988 On the existence of automorphic quasimeromorphic mappings in \(R^n\). Zbl 0383.30010Martio, O.; Srebro, U. 5 1977 On the integrability of the derivative of a quasiregular mapping. Zbl 0296.30019Martio, O. 5 1974 Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010Martio, Olli 4 2016 Capacity and potential estimates for quasiminimizers. Zbl 1275.31003Martio, Olli 4 2011 Quasilinear Riccati type equations and quasiminimizers. Zbl 1218.35099Martio, O. 4 2011 Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088Dovgoshey, Oleksiy; Martio, Olli 4 2009 ACL homeomorphisms and linear dilatation. Zbl 0990.30014Kallunki, S.; Martio, O. 4 2002 Boundary Hölder continuity and quasiconformal mappings. Zbl 0755.30026Martio, Olli; Näkki, Raimo 4 1991 Removability theorems for quasiregular mappings. Zbl 0717.30015Koskela, P.; Martio, O. 4 1990 Modulus in Banach function spaces. Zbl 1396.30010Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli 3 2017 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006Martio, O. 3 2016 On some properties of quasiplanes. Zbl 1030.30019Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M. 3 2002 Estimates for F-harmonic measures and \(\emptyset ksendal's\) theorem for quasiconformal mappings. Zbl 0643.35022Heinonen, J.; Martio, O. 3 1987 On \(k\)-periodic quasiregular mappings in \(R^n\). Zbl 0325.30025Martio, O. 3 1975 Measure properties of the branch set and its image of quasiregular mappings. Zbl 0265.30027Martio, O.; Rickman, S. 3 1973 Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\). Zbl 1403.30023Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli 2 2018 Functions transferring metrics to metrics. Zbl 1276.54020Dovgoshey, O.; Martio, O. 2 2013 On a theorem of Lindelöf. Zbl 1252.30017Gutlyanskiĭ, Vladimir; Martio, Olli; Ryazanov, Vladimir 2 2011 Boundary accessibility of a domain quasiconformally equivalent to a ball. Zbl 1040.30010Martio, Olli; Näkki, Raimo 2 2004 On regularity of quasiconformal curves. Zbl 1216.30025Gutlyanskiĭ, Vladimir; Martio, Olli 2 2002 Modern tools in the theory of quasiconformal maps. Zbl 0997.30014Martio, Olli 2 2000 Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\). Zbl 1403.30023Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli 2 2018 Modulus in Banach function spaces. Zbl 1396.30010Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli 3 2017 Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010Martio, Olli 4 2016 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006Martio, O. 3 2016 Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zbl 1276.30002Bojarski, Bogdan; Gutlyanskii, Vladimir; Martio, Olli; Ryazanov, Vladimir 34 2013 Quasiminimizing properties of solutions to Riccati type equations. Zbl 1321.35025Martio, Olli 5 2013 Functions transferring metrics to metrics. Zbl 1276.54020Dovgoshey, O.; Martio, O. 2 2013 Metrization of weighted graphs. Zbl 1272.05031Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti 1 2013 Tangent spaces to general metric spaces. Zbl 1265.54117Dovgoshey, Oleksiy; Martio, Olli 9 2011 Quasihyperbolic geodesics in convex domains. II. Zbl 1246.30041Martio, Olli; Väisälä, Jussi 7 2011 Capacity and potential estimates for quasiminimizers. Zbl 1275.31003Martio, Olli 4 2011 Quasilinear Riccati type equations and quasiminimizers. Zbl 1218.35099Martio, O. 4 2011 On a theorem of Lindelöf. Zbl 1252.30017Gutlyanskiĭ, Vladimir; Martio, Olli; Ryazanov, Vladimir 2 2011 Ahlfors theorems for differential forms. Zbl 1211.30039Martio, O.; Miklyukov, V. M.; Vuorinen, M. 1 2010 Wiman and Arima theorems for quasiregular mappings. Zbl 1226.30025Martio, O.; Miklyukov, V. M.; Vuorinen, M. 1 2010 Moduli in modern mapping theory. Zbl 1175.30020Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard 153 2009 Pasting lemmas and characterizations of boundary regularity for quasiminimizers. Zbl 1192.31001Björn, Anders; Martio, Olli 7 2009 Reflection principle for quasiminimizers. Zbl 1183.31003Martio, Olli 5 2009 Products of metric spaces, covering numbers, packing numbers, and characterizations of ultrametric spaces. Zbl 1212.54088Dovgoshey, Oleksiy; Martio, Olli 4 2009 Blow up of balls and coverings in metric spaces. Zbl 1155.54017Dovgoshey, Oleksiy; Martio, Olli 7 2008 Nonlinear potential theory in metric spaces. Zbl 1169.31300Martio, Olli 1 2008 Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016Martio, O.; Sbordone, Carlo 11 2007 Harnack’s principle for quasiminimizers. Zbl 1254.49010Kinnunen, Juha; Marola, Niko; Martio, O. 7 2007 On quasiplanes in Euclidean spaces. Zbl 1111.30013Martio, O.; Miklyukov, V. M.; Vuorinen, M. 1 2007 Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli 176 2006 The Cantor function. Zbl 1098.26006Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M. 35 2006 On the degenerate Beltrami equation. Zbl 1066.30021Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M. 30 2005 On \(Q\)-homeomorphisms. Zbl 1071.30019Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 19 2005 Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 7 2005 Functions monotone close to boundary. Zbl 1099.31004Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 1 2005 Mappings with finite length distortion. Zbl 1084.30021Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 38 2004 \(Q\)-homeomorphisms. Zbl 1069.30039Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 11 2004 On existence and uniqueness of degenerate Beltrami equation. Zbl 1066.30022Martio, Olli; Miklyukov, Vladimir 10 2004 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023Harjulehto, Petteri; Hästö, Peter; Martio, Olli 6 2004 Boundary accessibility of a domain quasiconformally equivalent to a ball. Zbl 1040.30010Martio, Olli; Näkki, Raimo 2 2004 On conformal dilatation in space. Zbl 1133.30319Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti 49 2003 Potential theory of quasiminimizers. Zbl 1035.31007Kinnunen, Juha; Martio, Olli 29 2003 Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005Kinnunen, Juha; Martio, Olli 13 2003 Conformality of a quasiconformal mapping at a point. Zbl 1070.30007Gutlyanskiĭ, Vladimir; Martio, Olli 9 2003 On the conformality of a quasiconformal mapping at a point. Zbl 1123.30011Gutlyanskii, V. Ya.; Martio, O. 1 2003 Generalized Wiman and Arima theorems for \(n\)-subharmonic functions on cones. Zbl 1048.31007Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 1 2003 Nonlinear potential theory of metric spaces. Zbl 1030.46040Kinnunen, Juha; Martio, Olli 48 2002 Stability and higher integrability of derivatives of solutions in double obstacle problems. Zbl 1064.35056Li, Gongbao; Martio, O. 8 2002 Quasiregular mappings and \(\mathcal W\mathcal T\)-classes of differential forms on Riemannian manifolds. Zbl 1063.30023Franke, D.; Martio, O.; Miklyukov, V. M.; Vuorinen, M.; Wisk, R. 5 2002 ACL homeomorphisms and linear dilatation. Zbl 0990.30014Kallunki, S.; Martio, O. 4 2002 On some properties of quasiplanes. Zbl 1030.30019Martio, O.; Miklyukov, V.; Ponnusamy, S.; Vuorinen, M. 3 2002 On regularity of quasiconformal curves. Zbl 1216.30025Gutlyanskiĭ, Vladimir; Martio, Olli 2 2002 On Hölder continuity of quasiconformal maps with VMO dilatation. Zbl 1021.30018Gutlyanskij, V.; Martio, O.; Vuorinen, M. 1 2002 Rotation estimates and spirals. Zbl 0981.30014Gutlyanskii, Vladimir; Martio, Olli 10 2001 On the theory of \(Q(x)\)-homeomorphisms. Zbl 1074.30020Martio, O.; Ryazanov, V.; Srebro, U.; Yakubov, E. 5 2001 Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli 43 2000 Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023Kinnunen, Juha; Martio, Olli 21 2000 Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 11 2000 Modern tools in the theory of quasiconformal maps. Zbl 0997.30014Martio, Olli 2 2000 Maximal operator and superharmonicity. Zbl 0969.42008Kinnunen, Juha; Martio, Olli 2 2000 On the weak Lipschitz condition for quasiconformal mappings. Zbl 1044.30010Vuorinen, M.; Gutlyanskij, V. Ya.; Martio, O. 1 2000 Stability of harmonic measures. Zbl 1024.31008Li, Gongbao; Martio, O. 1 2000 BMO and injectivity of space quasiregular mappings. Zbl 0935.30016Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti 12 1999 Large solutions of quasilinear elliptic equations in the degenrate case. Zbl 0960.35029Martio, Olli; Porru, Giovanni 10 1999 Locally injective automorphic mappings in \(\mathbb{R}^n\). Zbl 0953.30010Martio, O.; Srebro, U. 6 1999 Critical points of \(A\)-solutions of quasilinear elliptic equations. Zbl 0964.35062Martio, O.; Miklyukov, V. M.; Vuorinen, M. 2 1999 Normal families, multiplicity and the branch set of quasiregular maps. Zbl 0923.30015Martio, O.; Srebro, U.; Väisälä, J. 2 1999 On convergence theorems for space quasiregular mappings. Zbl 0907.30024Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 11 1998 Stability of solutions of varying degenerate elliptic equations. Zbl 0928.35071Li, Gongbao; Martio, Olli 9 1998 On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 9 1998 On the local behaviour of quasi-regular space mappings. Zbl 0932.30017Vuorinen, M.; Martio, O.; Ryazanov, V. I. 6 1998 Morrey’s lemma on Riemannian manifolds. Zbl 0928.46017Martio, O.; Miklyukov, V. M.; Vuorinen, M. 2 1998 On the asymptotic behavior of quasiconformal mappings in space. Zbl 0892.30021Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 2 1998 The local behavior of quasiconformal maps in space. Zbl 0959.30011Vuorinen, M.; Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I. 1 1998 Second order obstacle problems for vectorial functions and integrands with subquadratic growth. Zbl 0910.49002Fuchs, M.; Li, Gongbao; Martio, O. 1 1998 Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025Hajłasz, Piotr; Martio, Olli 51 1997 Hardy’s inequalities for Sobolev functions. Zbl 0909.42014Kinnunen, Juha; Martio, Olli 25 1997 The Sobolev capacity on metric spaces. Zbl 0859.46023Kinnunen, Juha; Martio, Olli 55 1996 Fluid flow in a medium distorted by a quasiconformal map can produce fractal boundaries. Zbl 0877.76073Martio, Olli; Øksendal, Bernt 2 1996 The Phragmen-Lindelöf principle for quasiregular mappings of manifolds and the isoperimetry. Zbl 0886.30020Vuorinen, M.; Martio, O.; Miklyukov, V. M. 1 1996 Differential forms and quasiregular mappings on Riemannian manifolds. Zbl 0899.58065Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 1 1996 Lusin’s condition (N) and mappings of the class \(W^{1,n}\). Zbl 0812.30007Malý, Jan; Martio, Olli 60 1995 On the fusion problem for degenerate elliptic equations. Zbl 0824.35040Kilpeläinen, T.; Koskela, P.; Martio, O. 1 1995 Stability in obstacle problems. Zbl 0839.35050Li, Gongbao; Martio, O. 12 1994 Local and global integrability of gradients in obstacle problems. Zbl 0803.35059Li, Gongbao; Martio, Olli 12 1994 Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli 568 1993 Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015Koskela, Pekka; Martio, Olli 11 1993 Bounded turning and passability. Zbl 0786.30017Martio, O.; Väisälä, J. 2 1993 Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032Martio, O.; Ziemer, William P. 23 1992 Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007Heinonen, J.; Kilpeläinen, T.; Martio, O. 15 1992 Partial differential equations and quasiregular mappings. Zbl 0794.35052Martio, Olli 1 1992 Boundary Hölder continuity and quasiconformal mappings. Zbl 0755.30026Martio, Olli; Näkki, Raimo 4 1991 Removability theorems for quasiregular mappings. Zbl 0717.30015Koskela, P.; Martio, O. 4 1990 Quasilines and conformal mappings. Zbl 0677.30012Fernández, José L.; Heinonen, Juha; Martio, Olli 21 1989 Quasihyperbolic geodesics in John domains. Zbl 0702.30007Gehring, F. W.; Hag, K.; Martio, O. 16 1989 Fine topology and quasilinear elliptic equations. Zbl 0659.35038Heinonen, J.; Kilpeläinen, T.; Martio, O. 7 1989 Potential theoretic aspects of nonlinear elliptic partial differential equations. Zbl 0684.35008Martio, Olli 2 1989 Sets of zero elliptic harmonic measures. Zbl 0741.31004Martio, O. 1 1989 Elliptic equations and maps of bounded length distortion. Zbl 0632.35021Martio, O.; Väisälä, J. 27 1988 John domains, bilipschitz balls and Poincaré inequality. Zbl 0652.30012Martio, O. 22 1988 Counterexamples for unique continuation. Zbl 0653.30013Martio, Olli 10 1988 Global \(L^ p\)-integrability of the derivative of a quasiconformal mapping. Zbl 0601.30024Martio, O.; Väisälä, J. 6 1988 Regularity and polar sets for supersolutions of certain degenerate elliptic equations. Zbl 0678.35025Lindqvist, P.; Martio, O. 5 1988 Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023Martio, O.; Vuorinen, M. 33 1987 Estimates for F-harmonic measures and \(\emptyset ksendal's\) theorem for quasiconformal mappings. Zbl 0643.35022Heinonen, J.; Martio, O. 3 1987 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,252 Authors 68 Sevost’yanov, Yevgen Oleksandrovych 51 Ryazanov, Vladimir Il’ich 48 Koskela, Pekka 45 Martio, Olli 45 Salimov, Ruslan Radikovich 41 Björn, Jana 40 Björn, Anders 37 Vuorinen, Matti Keijo Kustaa 35 Shanmugalingam, Nageswari 23 Heinonen, Juha 21 Gutlyanskiĭ, Vladimir Ya. 19 Gol’dshtein, Vladimir Mikhailovich 19 Kalaj, David 19 Kilpeläinen, Tero 17 Ding, Shusen 17 Golberg, Anatoly 17 Nguyen Cong Phuc 17 Xiao, Jie 16 Iwaniec, Tadeusz 16 Mingione, Giuseppe 16 Ponnusamy, Saminathan 16 Ukhlov, Alexander Dadar-Oolovich 16 Vodop’yanov, Sergeĭ Konstantinovich 15 Holopainen, Ilkka 15 Lindqvist, Peter 15 Onninen, Jani 15 Parviainen, Mikko 15 Srebro, Uri 15 Wang, Xiantao 14 Kuusi, Tuomo 14 Marola, Niko 13 Dovgoshey, Oleksiy Alfredovich 13 Kinnunen, Juha 13 Lewis, John L. 13 Malý, Jan 13 Miklyukov, Vladimir Mikhaiĭlovich 13 Verbitsky, Igor E. 12 Afanas’eva, Elena Sergeevna 12 Byun, Sun-Sig 12 Harjulehto, Petteri 12 Hencl, Stanislav 12 Huang, Manzi 12 Lehrbäck, Juha 12 Väisälä, Jussi 12 Wang, Lihe 11 Adamowicz, Tomasz 11 Guo, Changyu 11 Hajłasz, Piotr 11 Hästö, Peter A. 11 Korte, Riikka 11 Kovtonyuk, D. A. 11 Lahti, Panu 11 Yakubov, Eduard H. 10 Bao, Gejun 10 Bucur, Dorin 10 Cavalheiro, Albo Carlos 10 Cristea, Mihai 10 Dal Maso, Gianni 10 Fletcher, Alastair N. 10 Hurri-Syrjānen, Ritva 10 Lukkari, Teemu 10 Mizuta, Yoshihiro 10 Pankka, Pekka 10 Shimomura, Tetsu 9 Gao, Hongya 9 Jiang, Renjin 9 Li, Yaxiang 9 Rajala, Kai 9 Rickman, Seppo Uolevi 9 Rodríguez García, José Manuel 9 Skvortsov, Sergei Aleksandrovich 9 Vähäkangas, Antti V. 9 Vogel, Andrew L. 8 Astala, Kari 8 Herron, David A. 8 Manfredi, Juan J. 8 Nolder, Craig A. 8 Tuominen, Heli 8 Xing, Yuming 8 Zhong, Xiao 7 Akman, Murat 7 Habermann, Jens 7 Hofmann, Steve 7 Latvala, Visa 7 Li, Gongbao 7 Nakai, Mitsuru 7 Nyström, Kaj 7 Otárola, Enrique 7 Sbordone, Carlo 7 Yang, Shanshuang 6 Aikawa, Hiroaki 6 Azzam, Jonas 6 Chen, Shaolin 6 Chua, Seng-Kee 6 Granlund, Seppo 6 Juutinen, Petri 6 Klén, Riku 6 Koskenoja, Mika 6 Martin, Gaven J. 6 Petrov, Evgenii Aleksandrovich ...and 1,152 more Authors all top 5 Cited in 246 Serials 98 Journal of Mathematical Analysis and Applications 82 Nonlinear Analysis. 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Mathematical Sciences 3 Russian Mathematics ...and 146 more Serials all top 5 Cited in 56 Fields 653 Partial differential equations (35-XX) 639 Functions of a complex variable (30-XX) 366 Potential theory (31-XX) 320 Functional analysis (46-XX) 156 Real functions (26-XX) 139 Calculus of variations and optimal control; optimization (49-XX) 83 Global analysis, analysis on manifolds (58-XX) 82 Measure and integration (28-XX) 76 Differential geometry (53-XX) 67 Operator theory (47-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 32 Probability theory and stochastic processes (60-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 General topology (54-XX) 28 Mechanics of deformable solids (74-XX) 23 Several complex variables and analytic spaces (32-XX) 21 Fluid mechanics (76-XX) 20 Numerical analysis (65-XX) 18 Approximations and expansions (41-XX) 17 Manifolds and cell complexes (57-XX) 12 Ordinary differential equations (34-XX) 12 Convex and discrete geometry (52-XX) 11 Abstract harmonic analysis (43-XX) 9 Topological groups, Lie groups (22-XX) 9 Biology and other natural sciences (92-XX) 8 Geometry (51-XX) 7 Optics, electromagnetic theory (78-XX) 6 Combinatorics (05-XX) 6 Integral equations (45-XX) 5 Number theory (11-XX) 5 Difference and functional equations (39-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-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 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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