Edit Profile (opens in new tab) Korobkov, Mikhail V. Compute Distance To: Compute Author ID: korobkov.mikhail-v Published as: Korobkov, M. V.; Korobkov, Mikhail V.; Korobkov, Mikhail more...less Documents Indexed: 51 Publications since 1998 Co-Authors: 16 Co-Authors with 34 Joint Publications 412 Co-Co-Authors all top 5 Co-Authors 17 single-authored 13 Pileckas, Konstantin 13 Russo, Remigio 5 Kristensen, Jan 4 Panov, Evgeniy Yu. 3 Ferone, Adele 3 Kopylov, Anatoliĭ Pavlovich 3 Roviello, Alba 2 Bourgain, Jean 2 Egorov, Aleksandr Anatol’evich 2 Ren, Xiao 1 Hajłasz, Piotr 1 Lyu, Wenqi 1 Ponomarev, Stanislav P. 1 Pukhnachov, Vladislav Vasil’evich 1 Tsai, Tai-Peng 1 Weng, Shangkun all top 5 Serials 9 Sibirskiĭ Matematicheskiĭ Zhurnal 8 Doklady Mathematics 4 Siberian Mathematical Journal 3 Archive for Rational Mechanics and Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Fluid Mechanics 2 Analysis & PDE 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Matematicheskie Trudy 1 Annals of Mathematics. Second Series 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Fields 21 Partial differential equations (35-XX) 19 Real functions (26-XX) 18 Fluid mechanics (76-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 2 General topology (54-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 246 times in 134 Documents Cited by ▼ Year ▼ Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Zbl 1318.35065Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 27 2015 On the Morse-Sard property and level sets of Sobolev and BV functions. Zbl 1273.26017Bourgain, Jean; Korobkov, Mikhail V.; Kristensen, Jan 27 2013 The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl. Zbl 1328.35151Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 22 2015 On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions. Zbl 1260.35115Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 20 2013 On the Morse-Sard property and level sets of \(W^{n,1}\) Sobolev functions on \(\mathbb{R}^n\). Zbl 1322.46022Bourgain, Jean; Korobkov, Mikhail V.; Kristensen, Jan 17 2015 The flux problem for the Navier-Stokes equations. Zbl 1319.35161Korobkov, M. V.; Pileckas, K.; Pukhnachev, V. V.; Russo, R. 16 2014 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094Korobkov, Mikhail; Tsai, Tai-Peng 14 2016 On the Morse-Sard theorem for the sharp case of Sobolev mappings. Zbl 1312.58012Korobkov, Mikhail V.; Kristensen, Jan 11 2014 An existence theorem for steady Navier-Stokes equations in the axially symmetric case. Zbl 1321.35137Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 10 2015 The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain. Zbl 1331.35263Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 10 2014 The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings. Zbl 1430.58005Korobkov, Mikhail V.; Kristensen, Jan 9 2018 On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains. Zbl 1416.35187Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 9 2019 On the steady Navier-Stokes equations in \(2D\) exterior domains. Zbl 1434.76028Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 9 2020 A bridge between Dubovitskiĭ-Federer theorems and the coarea formula. Zbl 1416.58004Hajłasz, Piotr; Korobkov, Mikhail V.; Kristensen, Jan 8 2017 The existence theorem for the steady Navier-Stokes problem in exterior axially symmetric 3D domains. Zbl 1383.35141Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 7 2018 On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings. Zbl 1406.26006Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba 5 2019 Bernoulli law under minimal smoothness assumptions. Zbl 1245.35088Korobkov, M. V. 5 2011 Necessary and sufficient conditions for the unique determination of plane domains. Zbl 1167.51300Korobkov, M. V. 4 2007 A criterion for the unique determination of domains in Euclidean spaces by the metrics of their boundaries induced by the intrinsic metrics of the domains. Zbl 1249.51006Korobkov, M. V. 2 2009 Necessary and sufficient conditions for unique determination of plane domains. Zbl 1164.51303Korobkov, M. V. 2 2008 Properties of \(C^{1}\)-smooth functions whose gradient range has topological dimension 1. Zbl 1206.26020Korobkov, M. V. 2 2010 Isentropic solutions of quasilinear equations of the first order. Zbl 1157.35024Korobkov, M. V.; Panov, E. Yu. 2 2006 The Morse-Sard theorem and Luzin \(N\)-property: a new synthesis for smooth and Sobolev mappings. Zbl 1444.26010Ferone, A.; Korobkov, M. V.; Roviello, A. 2 2019 One generalization of connectedness and its application to differential calculus and the stability theory of classes of mappings. Zbl 0959.58006Korobkov, M. V. 1 1998 On a generalization of the Darboux theorem to the multidimensional case. Zbl 0963.26006Korobkov, M. V. 1 2000 Uniqueness of plane stationary Navier-Stokes flow past an obstacle. Zbl 1473.76017Korobkov, Mikhail; Ren, Xiao 1 2021 On some universal Morse-Sard type theorems. Zbl 1441.58007Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba 1 2020 An analog of Sard’s theorem for \(C^1\)-smooth functions of two variables. Zbl 1150.26322Korobkov, M. V. 1 2006 On the theory of isentropic solutions of quasilinear conservation laws. Zbl 1180.35350Korobkov, M. V.; Panov, E. Yu. 1 2007 Uniqueness of plane stationary Navier-Stokes flow past an obstacle. Zbl 1473.76017Korobkov, Mikhail; Ren, Xiao 1 2021 On the steady Navier-Stokes equations in \(2D\) exterior domains. Zbl 1434.76028Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 9 2020 On some universal Morse-Sard type theorems. Zbl 1441.58007Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba 1 2020 On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains. Zbl 1416.35187Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 9 2019 On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings. Zbl 1406.26006Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba 5 2019 The Morse-Sard theorem and Luzin \(N\)-property: a new synthesis for smooth and Sobolev mappings. Zbl 1444.26010Ferone, A.; Korobkov, M. V.; Roviello, A. 2 2019 The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings. Zbl 1430.58005Korobkov, Mikhail V.; Kristensen, Jan 9 2018 The existence theorem for the steady Navier-Stokes problem in exterior axially symmetric 3D domains. Zbl 1383.35141Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 7 2018 A bridge between Dubovitskiĭ-Federer theorems and the coarea formula. Zbl 1416.58004Hajłasz, Piotr; Korobkov, Mikhail V.; Kristensen, Jan 8 2017 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094Korobkov, Mikhail; Tsai, Tai-Peng 14 2016 Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Zbl 1318.35065Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 27 2015 The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl. Zbl 1328.35151Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 22 2015 On the Morse-Sard property and level sets of \(W^{n,1}\) Sobolev functions on \(\mathbb{R}^n\). Zbl 1322.46022Bourgain, Jean; Korobkov, Mikhail V.; Kristensen, Jan 17 2015 An existence theorem for steady Navier-Stokes equations in the axially symmetric case. Zbl 1321.35137Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 10 2015 The flux problem for the Navier-Stokes equations. Zbl 1319.35161Korobkov, M. V.; Pileckas, K.; Pukhnachev, V. V.; Russo, R. 16 2014 On the Morse-Sard theorem for the sharp case of Sobolev mappings. Zbl 1312.58012Korobkov, Mikhail V.; Kristensen, Jan 11 2014 The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain. Zbl 1331.35263Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 10 2014 On the Morse-Sard property and level sets of Sobolev and BV functions. Zbl 1273.26017Bourgain, Jean; Korobkov, Mikhail V.; Kristensen, Jan 27 2013 On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions. Zbl 1260.35115Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 20 2013 Bernoulli law under minimal smoothness assumptions. Zbl 1245.35088Korobkov, M. V. 5 2011 Properties of \(C^{1}\)-smooth functions whose gradient range has topological dimension 1. Zbl 1206.26020Korobkov, M. V. 2 2010 A criterion for the unique determination of domains in Euclidean spaces by the metrics of their boundaries induced by the intrinsic metrics of the domains. Zbl 1249.51006Korobkov, M. V. 2 2009 Necessary and sufficient conditions for unique determination of plane domains. Zbl 1164.51303Korobkov, M. V. 2 2008 Necessary and sufficient conditions for the unique determination of plane domains. Zbl 1167.51300Korobkov, M. V. 4 2007 On the theory of isentropic solutions of quasilinear conservation laws. Zbl 1180.35350Korobkov, M. V.; Panov, E. Yu. 1 2007 Isentropic solutions of quasilinear equations of the first order. Zbl 1157.35024Korobkov, M. V.; Panov, E. Yu. 2 2006 An analog of Sard’s theorem for \(C^1\)-smooth functions of two variables. Zbl 1150.26322Korobkov, M. V. 1 2006 On a generalization of the Darboux theorem to the multidimensional case. Zbl 0963.26006Korobkov, M. V. 1 2000 One generalization of connectedness and its application to differential calculus and the stability theory of classes of mappings. Zbl 0959.58006Korobkov, M. V. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 143 Authors 21 Korobkov, Mikhail V. 15 Pileckas, Konstantin 10 Russo, Remigio 8 Chae, Dongho 8 Kozono, Hideo 6 Bradshaw, Zachary 6 Weng, Shangkun 6 Wolf, Jörg 5 Azagra, Daniel 5 Hieber, Matthias 5 Kaulakytė, Kristina 5 Kopylov, Anatoliĭ Pavlovich 5 Seyfert, Anton 5 Shimizu, Senjo 5 Tsai, Tai-Peng 5 Wang, Wendong 5 Yanagisawa, Taku 4 Pan, Xinghong 3 Chipot, Michel 3 Ferone, Adele 3 García-Bravo, Miguel 3 Hajłasz, Piotr 3 Lai, Baishun 3 Raciene, Alicija 3 Roskovec, Tomáš G. 3 Roviello, Alba 3 Terasawa, Yutaka 3 Wakasugi, Yuta 2 Albritton, Dallas 2 Amrouche, Chérif 2 Andreianov, Boris 2 Baranovskiĭ, Evgeniĭ Sergeevich 2 Cianchi, Andrea 2 Conca, Carlos 2 Coscia, Vincenzo 2 Ferrera, Juan 2 Gomez Gil, Javier 2 Il’in, Konstantin Ivanovich 2 Kim, Junha 2 Kristensen, Jan 2 Li, Shuai 2 Lyu, Wenqi 2 Miao, Changxing 2 Morgulis, Andrey Borisovich 2 Pick, Luboš 2 Pukhnachov, Vladislav Vasil’evich 2 Ren, Xiao 2 Slavíková, Lenka 2 Tartaglione, Alfonsina 2 Zheng, Xiaoxin 1 Acevedo Tapia, P. 1 Acevedo, Paul 1 Alberti, Giovanni 1 Bae, Myoungjean 1 Barker, Tobias 1 Bonicatto, Paolo 1 Cai, Xinliang 1 Cao, Xiangdi 1 Cecchini, Simone 1 Chen, Qionglei 1 Chen, Xiaomeng 1 Dobrowolski, Tadeusz 1 Doležalová, Anna 1 Domnich, Anastasiya Aleksandrovna 1 Donadello, Carlotta 1 Döring, Lukas 1 Dos Santos, Mickaël 1 Elshehabey, Hillal M. 1 Esmayli, Behnam 1 Galdi, Giovanni Paolo 1 Gazzola, Filippo 1 Germain, Pierre 1 Ghosh, Amrita 1 Ghoshal, Shyam Sundar 1 Gong, Huajun 1 Hamamoto, Naoki 1 Han, Daozhi 1 Hashash, Paz 1 Hou, Yifeng 1 Hounkpe, Francis 1 Hrubešová, Marika 1 Ignat, Radu 1 Iwabuchi, Tsukasa 1 Jiang, Zaihong 1 Juodagalvytė, Rita 1 Kang, Kyungkeun 1 Kang, Xiaosong 1 Kleprlík, Luděk 1 Klovienė, Neringa 1 Kohr, Mirela 1 Kovtonyuk, D. A. 1 Kramar Fijavž, Marjeta 1 Kukavica, Igor 1 Lahti, Panu 1 Lebedev, Vladimir Vladimirovich 1 Léger, Tristan 1 Li, Li 1 Li, Zijin 1 Liu, Xiangao 1 Luo, Wei ...and 43 more Authors all top 5 Cited in 62 Serials 10 Archive for Rational Mechanics and Analysis 10 Journal of Mathematical Fluid Mechanics 7 Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 5 The Journal of Geometric Analysis 5 Calculus of Variations and Partial Differential Equations 4 Mathematical Notes 4 Transactions of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Applicable Analysis 3 Nonlinearity 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Siberian Mathematical Journal 2 Journal of Mathematical Physics 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Doklady Mathematics 2 Revista Matemática Complutense 2 European Journal of Mechanics. B. Fluids 2 Differential Equations 2 Mathematical Modelling and Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Analysis & PDE 2 Advances in Nonlinear Analysis 1 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Journal of Approximation Theory 1 Manuscripta Mathematica 1 Semigroup Forum 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Communications in Computational Physics 1 Journal of Siberian Federal University. Mathematics & Physics 1 Pure and Applied Analysis 1 Annales Fennici Mathematici all top 5 Cited in 24 Fields 98 Partial differential equations (35-XX) 83 Fluid mechanics (76-XX) 18 Real functions (26-XX) 18 Functional analysis (46-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 6 Measure and integration (28-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Potential theory (31-XX) 3 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year