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Reshetnyak, Yuriĭ Grigor’evich (b. 1929 d. 2021)

Author ID: reshetnyak.yuri-g Recent zbMATH articles by "Reshetnyak, Yuriĭ Grigor’evich"
Published as: Reshetnyak, Yu. G.; Reshetnyak, Yu G.; Reshetnyak, Yuri; Reshetnyak, Yuriĭ Grigor’evich; Reshetnyakh, Yu. G.; Reshetnyak, Yuri G.
Further Spellings: Решетняк Юрий Григорьевич
Homepage: http://math.nsc.ru/LBRT/u2/nauka/reshetny.html
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

139 single-authored
32 Kutateladze, Semën Samsonovich
11 Aleksandrov, Aleksandr Danilovich
11 Vodop’yanov, Sergeĭ Konstantinovich
8 Kusraev, Anatoly Georgievich
8 Novikov, Sergeĭ Petrovich
8 Zalgaller, Viktor Abramovich
6 Bokut, Leonid A.
6 Borisov, Yuriĭ Fedorovich
6 Borovkov, Aleksandr Alekseevich
6 Ladyzhenskaya, Ol’ga Aleksandrovna
6 Taimanov, Iskander Asanovich
5 Alexandrov, Victor A.
5 Godunov, Sergeĭ Konstantinovich
5 Pogorelov, Alekseĭ Vasil’evich
4 Burago, Yuriĭ Dmitrievich
4 Vershinin, Vladimir V.
3 Bukhshtaber, Viktor Matveevich
3 Goncharov, Sergeĭ Savost’yanovich
3 Gutman, Aleksandr Efimovich
3 Lavrent’ev, Mikhail Mikhaĭlovich
3 Rubinshteĭn, Gennadiĭ Shlemovich
3 Vasil’ev, Viktor Anatol’evich
2 Aganbegyan, A. G.
2 Berezans’kyĭ, Yuriĭ Makarovych
2 Borisenko, Aleksandr Andreevich
2 Chirka, Evgeni M.
2 Ershov, Yuriĭ Leonidovich
2 Faddeev, Dmitriĭ Konstantinovich
2 Gamkrelidze, Revaz Valerianovich
2 Gavurin, Mark Konstantinovich
2 Gindikin, Simon Grigorevich
2 Gol’dshtein, Vladimir Mikhailovich
2 Gordon, Evgeniĭ Izrail’evich
2 Gromov, Mikhael Leonidovich
2 Gurov, L. G.
2 Ibragimov, Il’dar Abdullovich
2 Kesel’man, V. M.
2 Kudryavtseva, N. A.
2 Makarov, Valeriĭ Leonidovich
2 Malyugin, Sergey Artem’evich
2 Marchenko, Vladimir Aleksandrovich
2 Margulis, Grigoriĭ Aleksandrovich
2 Matiyasevich, Yuriĭ Vladimirovich
2 Mazurov, Viktor Danilovich
2 Romanov, Aleksandr Sergeevich
2 Romanov, Vladimir Gavrilovich
2 Romanovskiĭ, Iosif Vladimirovich
2 Semënov, Evgeniĭ Mikhaĭlovich
2 Sklyadnev, S. A.
2 Sobolev, Sergeĭ L’vovich
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Valiev, Mars K.
2 Verner, A. L.
2 Vershik, Anatoliĭ Moiseevich
2 Vesnin, Andrei Yu.
1 Adler, Vsevolod Eduardovich
1 Agranovich, Mikhail Semënovich
1 Akilov, Gleb Pavlovich
1 Aleksandrov, Igor’ Aleksandrovich
1 Aminov, Yurii Akhmetovich
1 Aptekarev, Alexander Ivanovich
1 Arkhangel’skiĭ, Dmitriĭ A.
1 Arnol’d, Vladimir Igorevich
1 Askhabov, Sultan Nazhmudinovich
1 Avkhadiev, Farit Gabidinovich
1 Baizhanov, Bektur Sembiuly
1 Bakhvalov, Nikolaĭ Sergeevich
1 Belegradek, Oleg V.
1 Belyaev, V. Ya.
1 Beresmovskiĭ, V. N.
1 Borovskiĭ, Yu. E.
1 Botvinnik, V. A.
1 Burago, Dmitri
1 Chernavskiĭ, Alekseĭ Viktorovich
1 Daderkin, Dmitri O.
1 Dalets’kyĭ, Yuriĭ L’vovych
1 Dekhtyar, Alexander M.
1 Dikovsky, Alexander Yakovlevich
1 Dolbilin, Nikolaĭ Petrovich
1 Dubinin, Vladimir N.
1 Dudakov, Sergey M.
1 Dyatlov, V. N.
1 Dynnikov, Ivan Alekseevich
1 Eliashberg, Yakov Matveevich
1 Fomenko, Anatoliĭ Timofeevich
1 Fomenko, Valentin Trofimovich
1 Fominykh, Evgeny Anatol’evich
1 Fuchs, Dmitry Borisovich
1 Gitik, Moti
1 Gol’dshtejn, Vladimir M.
1 Gol’dshteyn, V. M.
1 Gol’dstein, Vladimir Mikailovitch
1 Golod, Evgeniĭ Solomonovich
1 Gonchar, Andreĭ Aleksandrovich
1 Goryainov, Viktor V.
1 Grigorchuk, Rostislav Ivanovich
1 Grigor’yan, Alexander Asaturovich
1 Gurevich, Yuri
1 Gutman, E. A.
1 Khavin, Viktor Petrovich
...and 116 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,046 times in 855 Documents Cited by Year
Space mappings with bounded distortion. Zbl 0667.30018
Reshetnyak, Yu. G.
220
1989
Spatial mappings with bounded distortion. (Пространственные отображения с ограниченным искажением.) Zbl 0487.30011
Reshetnyak, Yu. G.
94
1982
Weak convergence of completely additive vector functions on a set. Zbl 0176.44402
Reshetnyak, Yu. G.
76
1969
Sobolev-type classes of functions with values in a metric space. Zbl 0944.46024
Reshetnyak, Yu. G.
58
1997
Stability theorems in geometry and analysis. Translated from the Russian by N. S. Dairbekov and V. N. Dyatlov. Revised and updated translation. rev. and updated transl. Zbl 0925.53005
Reshetnyak, Yu. G.
34
1994
Stability theorems in geometry and analysis. (Теоремы устойчивости в геометрии и анализе.) Zbl 0523.53025
Reshetnyak, Yu. G.
33
1982
Introduction to the theory of functions with generalized derivatives, and quasiconformal mappings. (Vvedenie v teoriyu funktsij s obobshchennymi proizvodnymi i kvazikonformnye otobrazheniya). Zbl 0591.46021
Gol’dshtejn, V. M.; Reshetnyak, Yu. G.
32
1983
On the stability of conformal mappings in multidimensional spaces. Zbl 0172.37801
Reshetnyak, Yu. G.
31
1968
Integral representations of differentiable functions in domains with non- smooth boundary. Zbl 0455.35025
Reshetnyak, Yu. G.
28
1980
Stability theorems for mappings with bounded excursions. Zbl 0176.03503
Reshetnyak, Yu. G.
25
1968
General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002
Alexandrov, A. D.; Reshetnyak, Yu. G.
23
1989
Estimates for certain differential operators with finite-dimensional kernel. Zbl 0233.35010
Reshetnyak, Yu. G.
22
1970
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
18
1979
Remark on the integral representation of differentiable functions of several variables. Zbl 0597.26018
Reshetnyak, Yu. G.
15
1984
Liouville’s theorem on conformal mappings for minimal regularity assumptions. Zbl 0167.36102
Reshetnyak, Yu. G.
14
1968
Sobolev-type classes of functions with values in a metric space. II. Zbl 1085.46024
Reshetnyak, Yu. G.
14
2004
Quasiconformal mappings and Sobolev spaces. Transl. from the Russian by O. Korneeva. Rev. translation. Zbl 0687.30001
Gol’dshtejn, V. M.; Reshetnyak, Yu. G.
13
1990
Some geometrical properties of functions and mappings with generalized derivatives. Zbl 0158.32701
Reshetnyak, Yu. G.
13
1966
Space mappings with bounded distortion. Zbl 0167.06601
Reshetnyak, Yu. G.
13
1968
Nichtausdehnende Abbildungen in einem Raum, dessen Krümmung nicht größer als \(K\) ist. Zbl 0167.50803
Reshetnyak, Yu. G.
13
1968
Inextensible mappings in a space of curvature no greater than K. Zbl 0176.19503
Reshetnyak, Yu. G.
13
1968
Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035
Alexandrov, A. D.
12
1996
Index boundedness condition for mappings with bounded distortion. Zbl 0167.06602
Reshetnyak, Yu. G.
12
1968
Ein Satz von Liouville über konforme Abbildungen unter minimalen Voraussetzungen der Regularität. Zbl 0164.09102
Reshetnyak, Yu. G.
11
1967
General theorems on semicontinuity and on convergence with a functional. Zbl 0179.20902
Reshetnyak, Yu. G.
11
1968
Nonstandard methods of analysis. (Nestandartnye metody analiza). Ed. by Yu. G. Reshetnyak. (Nestandartnye metody analiza.) Zbl 0718.03046
Kusraev, A. G.; Kutateladze, S. S.
10
1990
Integral representations of differentiable functions in domains with nonsmooth boundary. Zbl 0461.35017
Reshetnyak, Yu. G.
10
1981
Bounds on moduli of continuity for certain mappings. Zbl 0158.32702
Reshetnyak, Yu. G.
9
1966
Über die Stabilität konformer Abbildungen in mehrdimensionalen Räumen. Zbl 0158.32703
Reshetnyak, Yu. G.
9
1967
Generalized derivatives and differentiability almost everywhere. Zbl 0176.12001
Reshetnyak, Yu. G.
9
1969
On the theory of Sobolev-type classes of functions with values in a metric space. Zbl 1113.46029
Reshetnyak, Yu. G.
8
2006
Two-dimensional manifolds of bounded curvature. Zbl 0781.53050
Reshetnyak, Yu. G.
8
1989
Stability theorems in geometry and analysis. (Teoremy ustojchivosti v geometrii i analize). 2nd rev. ed. (Teoremy ustojchivosti v geometrii i analize.) Zbl 0848.30013
Reshetnyak, Yu. G.
7
1996
Über die Bedingung der Beschränktheit des Index für Abbildungen mit beschränkter Verzerrung. Zbl 0162.38201
Reshetnyak, Yu. G.
7
1968
Über die schwache Konvergenz vollständig additiver Vektorfunktionen einer Menge. Zbl 0169.18301
Reshetnyak, Yu. G.
7
1968
The concept of capacity in the theory of functions with generalized derivatives. Zbl 0199.20701
Reshetnyak, Yu. G.
7
1970
Zur Theorie der Räume, deren Krümmung nicht größer als \(K\) ist. Zbl 0101.40201
Reshetnyak, Yu. G.
7
1960
On the conformal representation of Alexandrov surfaces. Zbl 1021.53041
Reshetnyak, Yu. G.
6
2001
Abschätzungen der Stabilität in der Klasse \(W^1_p\) im Liouvilleschen Satz über konforme Abbildungen für ein abgeschlossenes Gebiet. Zbl 0367.30008
Reshetnyak, Yu. G.
6
1976
Mappings with bounded deformation as extremals of Dirichlet type integrals. Zbl 0176.03502
Reshetnyak, Yu. G.
6
1968
Some integral representations of differentiable functions. Zbl 0221.46031
Reshetnyak, Yu. G.
6
1971
On the condition N for spatial mappings of the class \(W^ 1_{n,loc}\). Zbl 0634.30023
Reshetnyak, Yu. G.
5
1987
Extremum conditions for a certain class of functionals of the calculus of variations with nonsmooth integrand. Zbl 0644.49012
Reshetnyak, Yu. G.
5
1987
Analysis. Transl. from the English by T. N. Rozhkovskaya. Transl. ed. by Yu. G. Reshetnyak. (Analiz.) Zbl 0918.26002
Lieb, Elliott H.; Loss, Michael
4
1998
The method of orthogonal projections in the theory of curves. Zbl 0098.35302
Reshetnyak, Yu. G.
4
1957
Isotherme Koordination in Mannigfaltigkeiten von beschränkter Krümmung. I, II. Zbl 0108.33806
Reshetnyak, Yu. G.
3
1960
A sufficient condition for Hölder continuity of a mapping. Zbl 0089.28906
Reshetnyak, Yu. G.
3
1960
Stability in Liouville’s theorem on conformal mappings of a space for domains with nonsmooth boundary. Zbl 0353.30020
Reshetnyak, Yu. G.
3
1976
Stability estimates in Liouville’s theorem and the \(L_p\)-integrability of the derivatives of quasi-conformal mappings. Zbl 0388.30016
Reshetnyak, Yu. G.
3
1977
Space transformations with bounded distortion. Zbl 0162.38004
Reshetnyak, Yu. G.
3
1967
Räumliche Abbildungen mit beschränkter Verzerrung. Zbl 0162.38101
Reshetnyak, Yu. G.
3
1967
Abbildungen mit beschränkter Verzerrung als Extremalen von Integralen Dirichletschen Typs. Zbl 0162.38202
Reshetnyak, Yu. G.
3
1968
Some estimates for almost umbilical surfaces. Zbl 0175.49102
Reshetnyak, Yu. G.
3
1968
Generalized derivatives and differentiability almost everywhere. Zbl 0186.46802
Reshetnyak, Yu. G.
3
1966
Study of manifolds of bounded curvature by means of isothermal coordinates. (Untersuchung von Mannigfaltigkeiten beschränkter Krümmung mittels isothermer Koordinaten.) Zbl 0115.16401
Reshetnyak, Yu. G.
2
1959
Proceedings of the conference “Geometry and applications” dedicated to the 70th anniversary of Professor Victor Toponogov, Novosibirsk, Russia, March 13–16, 2000. (Trudy konferentsii “Geometriya i prilozheniya” posvyashchennoj 70-letiyu V. A. Toponogova, Novosibirsk, Russia, 13–16 marta 2000.) Zbl 0966.00048
2
2001
An analogue of the concept of functions with bounded mean oscillation. Zbl 0353.26008
Gurov, L. G.; Reshetnyak, Yu. G.
2
1977
Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010
Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z.
2
1991
Differential properties of quasiconformal maps and conformal maps of Riemannian spaces. Zbl 0413.30019
Reshetnyak, Yu. G.
2
1979
Two-dimensional manifolds of bounded curvature. Zbl 0734.53048
Reshetnyak, Yu. G.
2
1989
Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061
2
1993
Set of singular points of solutions of certain nonlinear elliptic equations. Zbl 0164.13703
Reshetnyak, Yu. G.
2
1968
Verallgemeinerte Ableitungen und Differenzierbarkeit fast überall. Zbl 0165.47202
Reshetnyak, Yu. G.
2
1968
On the boundary behavior of functions with generalized derivatives. Zbl 0244.46034
Reshetnyak, Yu. G.
2
1972
The theory of curves in differential geometry from the viewpoint of the theory of functions of a real variable. Zbl 1143.53005
Reshetnyak, Yu G.
2
2005
On conformal mappings of a space. Zbl 0099.37901
Reshetnyak, Yu. G.
2
1960
Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Some applications of integral geometry to the theory of curves of finite rotation. Zbl 0656.53007
Reshetnyak, Yu. G.
1
1988
Über nichtstarre Rotationsflächen. Zbl 0119.37206
Reshetnyak, Yu. G.
1
1962
The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Some applications of integral geometry to the theory of curves of finite turn. Zbl 0639.53003
Reshetnyak, Yu. G.
1
1988
Property N for the space mappings of class \(W^ 1_{n,loc}\). Zbl 0645.30012
Reshetnyak, Yu. G.
1
1987
On the theory of nonregular curves in the \(n\)-dimensional Euclidean space. Zbl 0990.53001
Reshetnyak, Yu. G.
1
2001
Eine Extremalaufgabe aus der Theorie der konvexen Kurven. Zbl 0052.18303
Reshetnyak, Yu. G.
1
1953
Neuer Beweis eines Satzes von Chebotarev. Zbl 0064.27802
Reshetnyak, Yu. G.
1
1955
Über eine Verallgemeinerung der konvexen Flächen. Zbl 0072.17601
Reshetnyak, Yu. G.
1
1956
Order-compatible linear operators. (Линейные операторы, согласованные с порядком.) Zbl 0838.00009
1
1995
On stability of isometric transformations. Zbl 0856.30020
Reshetnyak, Yu. G.
1
1994
Lifting nonregular paths in fiber bundles. Zbl 0333.53034
Reshetnyak, Yu. G.
1
1976
Sobolev-type classes of mappings with values in metric spaces. Zbl 1153.46022
Reshetnyak, Yu. G.
1
2007
On functional classes invariant relative to homotheties. Zbl 0939.30501
Reshetnyak, Yu. G.
1
1992
Abschätzungen der Stabilität im Satz von Liouville und \(L_p\)- Integrabilität der Ableitungen quasikonformer Abbildungen. Zbl 0367.30007
Reshetnyak, Yu. G.
1
1976
Stabilitätssätze in gewissen Fragen der Differentialgeometrie und Analysis. Zbl 0385.30015
Reshetnyak, Yu. G.
1
1978
Differential properties of quasiconformal mappings and conformal mappings of Riemannian spaces. (Differentielle Eigenschaften quasikonformer Abbildungen und konformer Abbildungen Riemannscher Räume.) Zbl 0395.30014
Reshetnyak, Yu. G.
1
1978
Über geometrische Eigenschaften von Funktionen mit ersten verallgemeinerten Ableitungen. Zbl 0407.30012
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
1
1979
Die Länge einer Kurve in einer Mannigfaltigkeit von beschränkter Krümmung mit isothermem Linien-Element. Zbl 0128.15904
Reshetnyak, Yu. G.
1
1963
A contribution to the problem of calculating the complex roots of a polynomial by Newton’s method. Zbl 0147.12901
Reshetnyak, Yu. G.
1
1961
Isothermal coordinates on surfaces of bounded mean integral curvature. Zbl 0155.30306
Reshetnyak, Yu. G.
1
1967
Stability in the theorem of Liouville on conformal mappings of space. Zbl 0173.32602
Reshetnyak, Yu. G.
1
1963
Über Extremaleigenschaften von Abbildungen mit beschränkter Verzerrung. Zbl 0201.09802
Reshetnyak, Yu. G.
1
1969
Extremal properties of mappings with bounded distortion. Zbl 0203.38901
Reshetnyak, Yu. G.
1
1970
Über die Abschätzung der Stabilität im Liouvilleschen Satz über konforme Abbildungen mehrdimensionaler Räume. Zbl 0208.10201
Reshetnyak, Yu. G.
1
1970
On stability bounds in the Liouville theorem on conformal mappings of multidimensional spaces. Zbl 0212.42604
Reshetnyak, Yu. G.
1
1971
On the set of branch points of mappings with bounded distortion. Zbl 0221.30029
Reshetnyak, Yu. G.
1
1970
Some integral representations of differentiable functions. Zbl 0229.46037
Reshetnyak, Yu. G.
1
1971
On parallel transport along nonregular curves in principal bundles. Zbl 0257.53035
Reshetnyak, Yu. G.
1
1973
On the stability in Bonnet’s theorem of the surface theory. Zbl 1144.53011
Reshetnyak, Yuri G.
1
2007
Integral representations of differentiable functions. Zbl 0673.35008
Reshetnyak, Yu. G.
1
1986
Conditions for extremum for a class of functionals of calculus of variations with a nonsmooth integrand. Zbl 0668.49011
Reshetnyak, Yu. G.
1
1987
Sobolev-type classes of mappings with values in metric spaces. Zbl 1153.46022
Reshetnyak, Yu. G.
1
2007
On the stability in Bonnet’s theorem of the surface theory. Zbl 1144.53011
Reshetnyak, Yuri G.
1
2007
On the theory of Sobolev-type classes of functions with values in a metric space. Zbl 1113.46029
Reshetnyak, Yu. G.
8
2006
The theory of curves in differential geometry from the viewpoint of the theory of functions of a real variable. Zbl 1143.53005
Reshetnyak, Yu G.
2
2005
Sobolev-type classes of functions with values in a metric space. II. Zbl 1085.46024
Reshetnyak, Yu. G.
14
2004
On the conformal representation of Alexandrov surfaces. Zbl 1021.53041
Reshetnyak, Yu. G.
6
2001
Proceedings of the conference “Geometry and applications” dedicated to the 70th anniversary of Professor Victor Toponogov, Novosibirsk, Russia, March 13–16, 2000. (Trudy konferentsii “Geometriya i prilozheniya” posvyashchennoj 70-letiyu V. A. Toponogova, Novosibirsk, Russia, 13–16 marta 2000.) Zbl 0966.00048
2
2001
On the theory of nonregular curves in the \(n\)-dimensional Euclidean space. Zbl 0990.53001
Reshetnyak, Yu. G.
1
2001
Analysis. Transl. from the English by T. N. Rozhkovskaya. Transl. ed. by Yu. G. Reshetnyak. (Analiz.) Zbl 0918.26002
Lieb, Elliott H.; Loss, Michael
4
1998
Sobolev-type classes of functions with values in a metric space. Zbl 0944.46024
Reshetnyak, Yu. G.
58
1997
Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035
Alexandrov, A. D.
12
1996
Stability theorems in geometry and analysis. (Teoremy ustojchivosti v geometrii i analize). 2nd rev. ed. (Teoremy ustojchivosti v geometrii i analize.) Zbl 0848.30013
Reshetnyak, Yu. G.
7
1996
Order-compatible linear operators. (Линейные операторы, согласованные с порядком.) Zbl 0838.00009
1
1995
Stability theorems in geometry and analysis. Translated from the Russian by N. S. Dairbekov and V. N. Dyatlov. Revised and updated translation. rev. and updated transl. Zbl 0925.53005
Reshetnyak, Yu. G.
34
1994
On stability of isometric transformations. Zbl 0856.30020
Reshetnyak, Yu. G.
1
1994
Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061
2
1993
On functional classes invariant relative to homotheties. Zbl 0939.30501
Reshetnyak, Yu. G.
1
1992
Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010
Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z.
2
1991
Quasiconformal mappings and Sobolev spaces. Transl. from the Russian by O. Korneeva. Rev. translation. Zbl 0687.30001
Gol’dshtejn, V. M.; Reshetnyak, Yu. G.
13
1990
Nonstandard methods of analysis. (Nestandartnye metody analiza). Ed. by Yu. G. Reshetnyak. (Nestandartnye metody analiza.) Zbl 0718.03046
Kusraev, A. G.; Kutateladze, S. S.
10
1990
Space mappings with bounded distortion. Zbl 0667.30018
Reshetnyak, Yu. G.
220
1989
General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002
Alexandrov, A. D.; Reshetnyak, Yu. G.
23
1989
Two-dimensional manifolds of bounded curvature. Zbl 0781.53050
Reshetnyak, Yu. G.
8
1989
Two-dimensional manifolds of bounded curvature. Zbl 0734.53048
Reshetnyak, Yu. G.
2
1989
Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Some applications of integral geometry to the theory of curves of finite rotation. Zbl 0656.53007
Reshetnyak, Yu. G.
1
1988
The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Some applications of integral geometry to the theory of curves of finite turn. Zbl 0639.53003
Reshetnyak, Yu. G.
1
1988
On the condition N for spatial mappings of the class \(W^ 1_{n,loc}\). Zbl 0634.30023
Reshetnyak, Yu. G.
5
1987
Extremum conditions for a certain class of functionals of the calculus of variations with nonsmooth integrand. Zbl 0644.49012
Reshetnyak, Yu. G.
5
1987
Property N for the space mappings of class \(W^ 1_{n,loc}\). Zbl 0645.30012
Reshetnyak, Yu. G.
1
1987
Conditions for extremum for a class of functionals of calculus of variations with a nonsmooth integrand. Zbl 0668.49011
Reshetnyak, Yu. G.
1
1987
Integral representations of differentiable functions. Zbl 0673.35008
Reshetnyak, Yu. G.
1
1986
Remark on the integral representation of differentiable functions of several variables. Zbl 0597.26018
Reshetnyak, Yu. G.
15
1984
Introduction to the theory of functions with generalized derivatives, and quasiconformal mappings. (Vvedenie v teoriyu funktsij s obobshchennymi proizvodnymi i kvazikonformnye otobrazheniya). Zbl 0591.46021
Gol’dshtejn, V. M.; Reshetnyak, Yu. G.
32
1983
Spatial mappings with bounded distortion. (Пространственные отображения с ограниченным искажением.) Zbl 0487.30011
Reshetnyak, Yu. G.
94
1982
Stability theorems in geometry and analysis. (Теоремы устойчивости в геометрии и анализе.) Zbl 0523.53025
Reshetnyak, Yu. G.
33
1982
Integral representations of differentiable functions in domains with nonsmooth boundary. Zbl 0461.35017
Reshetnyak, Yu. G.
10
1981
Integral representations of differentiable functions in domains with non- smooth boundary. Zbl 0455.35025
Reshetnyak, Yu. G.
28
1980
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
18
1979
Differential properties of quasiconformal maps and conformal maps of Riemannian spaces. Zbl 0413.30019
Reshetnyak, Yu. G.
2
1979
Über geometrische Eigenschaften von Funktionen mit ersten verallgemeinerten Ableitungen. Zbl 0407.30012
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
1
1979
Stabilitätssätze in gewissen Fragen der Differentialgeometrie und Analysis. Zbl 0385.30015
Reshetnyak, Yu. G.
1
1978
Differential properties of quasiconformal mappings and conformal mappings of Riemannian spaces. (Differentielle Eigenschaften quasikonformer Abbildungen und konformer Abbildungen Riemannscher Räume.) Zbl 0395.30014
Reshetnyak, Yu. G.
1
1978
Stability estimates in Liouville’s theorem and the \(L_p\)-integrability of the derivatives of quasi-conformal mappings. Zbl 0388.30016
Reshetnyak, Yu. G.
3
1977
An analogue of the concept of functions with bounded mean oscillation. Zbl 0353.26008
Gurov, L. G.; Reshetnyak, Yu. G.
2
1977
Abschätzungen der Stabilität in der Klasse \(W^1_p\) im Liouvilleschen Satz über konforme Abbildungen für ein abgeschlossenes Gebiet. Zbl 0367.30008
Reshetnyak, Yu. G.
6
1976
Stability in Liouville’s theorem on conformal mappings of a space for domains with nonsmooth boundary. Zbl 0353.30020
Reshetnyak, Yu. G.
3
1976
Lifting nonregular paths in fiber bundles. Zbl 0333.53034
Reshetnyak, Yu. G.
1
1976
Abschätzungen der Stabilität im Satz von Liouville und \(L_p\)- Integrabilität der Ableitungen quasikonformer Abbildungen. Zbl 0367.30007
Reshetnyak, Yu. G.
1
1976
On parallel transport along nonregular curves in principal bundles. Zbl 0257.53035
Reshetnyak, Yu. G.
1
1973
On the boundary behavior of functions with generalized derivatives. Zbl 0244.46034
Reshetnyak, Yu. G.
2
1972
Some integral representations of differentiable functions. Zbl 0221.46031
Reshetnyak, Yu. G.
6
1971
On stability bounds in the Liouville theorem on conformal mappings of multidimensional spaces. Zbl 0212.42604
Reshetnyak, Yu. G.
1
1971
Some integral representations of differentiable functions. Zbl 0229.46037
Reshetnyak, Yu. G.
1
1971
Estimates for certain differential operators with finite-dimensional kernel. Zbl 0233.35010
Reshetnyak, Yu. G.
22
1970
The concept of capacity in the theory of functions with generalized derivatives. Zbl 0199.20701
Reshetnyak, Yu. G.
7
1970
Extremal properties of mappings with bounded distortion. Zbl 0203.38901
Reshetnyak, Yu. G.
1
1970
Über die Abschätzung der Stabilität im Liouvilleschen Satz über konforme Abbildungen mehrdimensionaler Räume. Zbl 0208.10201
Reshetnyak, Yu. G.
1
1970
On the set of branch points of mappings with bounded distortion. Zbl 0221.30029
Reshetnyak, Yu. G.
1
1970
Weak convergence of completely additive vector functions on a set. Zbl 0176.44402
Reshetnyak, Yu. G.
76
1969
Generalized derivatives and differentiability almost everywhere. Zbl 0176.12001
Reshetnyak, Yu. G.
9
1969
Über Extremaleigenschaften von Abbildungen mit beschränkter Verzerrung. Zbl 0201.09802
Reshetnyak, Yu. G.
1
1969
On the stability of conformal mappings in multidimensional spaces. Zbl 0172.37801
Reshetnyak, Yu. G.
31
1968
Stability theorems for mappings with bounded excursions. Zbl 0176.03503
Reshetnyak, Yu. G.
25
1968
Liouville’s theorem on conformal mappings for minimal regularity assumptions. Zbl 0167.36102
Reshetnyak, Yu. G.
14
1968
Space mappings with bounded distortion. Zbl 0167.06601
Reshetnyak, Yu. G.
13
1968
Nichtausdehnende Abbildungen in einem Raum, dessen Krümmung nicht größer als \(K\) ist. Zbl 0167.50803
Reshetnyak, Yu. G.
13
1968
Inextensible mappings in a space of curvature no greater than K. Zbl 0176.19503
Reshetnyak, Yu. G.
13
1968
Index boundedness condition for mappings with bounded distortion. Zbl 0167.06602
Reshetnyak, Yu. G.
12
1968
General theorems on semicontinuity and on convergence with a functional. Zbl 0179.20902
Reshetnyak, Yu. G.
11
1968
Über die Bedingung der Beschränktheit des Index für Abbildungen mit beschränkter Verzerrung. Zbl 0162.38201
Reshetnyak, Yu. G.
7
1968
Über die schwache Konvergenz vollständig additiver Vektorfunktionen einer Menge. Zbl 0169.18301
Reshetnyak, Yu. G.
7
1968
Mappings with bounded deformation as extremals of Dirichlet type integrals. Zbl 0176.03502
Reshetnyak, Yu. G.
6
1968
Abbildungen mit beschränkter Verzerrung als Extremalen von Integralen Dirichletschen Typs. Zbl 0162.38202
Reshetnyak, Yu. G.
3
1968
Some estimates for almost umbilical surfaces. Zbl 0175.49102
Reshetnyak, Yu. G.
3
1968
Set of singular points of solutions of certain nonlinear elliptic equations. Zbl 0164.13703
Reshetnyak, Yu. G.
2
1968
Verallgemeinerte Ableitungen und Differenzierbarkeit fast überall. Zbl 0165.47202
Reshetnyak, Yu. G.
2
1968
Ein Satz von Liouville über konforme Abbildungen unter minimalen Voraussetzungen der Regularität. Zbl 0164.09102
Reshetnyak, Yu. G.
11
1967
Über die Stabilität konformer Abbildungen in mehrdimensionalen Räumen. Zbl 0158.32703
Reshetnyak, Yu. G.
9
1967
Space transformations with bounded distortion. Zbl 0162.38004
Reshetnyak, Yu. G.
3
1967
Räumliche Abbildungen mit beschränkter Verzerrung. Zbl 0162.38101
Reshetnyak, Yu. G.
3
1967
Isothermal coordinates on surfaces of bounded mean integral curvature. Zbl 0155.30306
Reshetnyak, Yu. G.
1
1967
Some geometrical properties of functions and mappings with generalized derivatives. Zbl 0158.32701
Reshetnyak, Yu. G.
13
1966
Bounds on moduli of continuity for certain mappings. Zbl 0158.32702
Reshetnyak, Yu. G.
9
1966
Generalized derivatives and differentiability almost everywhere. Zbl 0186.46802
Reshetnyak, Yu. G.
3
1966
Die Länge einer Kurve in einer Mannigfaltigkeit von beschränkter Krümmung mit isothermem Linien-Element. Zbl 0128.15904
Reshetnyak, Yu. G.
1
1963
Stability in the theorem of Liouville on conformal mappings of space. Zbl 0173.32602
Reshetnyak, Yu. G.
1
1963
Über nichtstarre Rotationsflächen. Zbl 0119.37206
Reshetnyak, Yu. G.
1
1962
A contribution to the problem of calculating the complex roots of a polynomial by Newton’s method. Zbl 0147.12901
Reshetnyak, Yu. G.
1
1961
Zur Theorie der Räume, deren Krümmung nicht größer als \(K\) ist. Zbl 0101.40201
Reshetnyak, Yu. G.
7
1960
Isotherme Koordination in Mannigfaltigkeiten von beschränkter Krümmung. I, II. Zbl 0108.33806
Reshetnyak, Yu. G.
3
1960
A sufficient condition for Hölder continuity of a mapping. Zbl 0089.28906
Reshetnyak, Yu. G.
3
1960
On conformal mappings of a space. Zbl 0099.37901
Reshetnyak, Yu. G.
2
1960
Study of manifolds of bounded curvature by means of isothermal coordinates. (Untersuchung von Mannigfaltigkeiten beschränkter Krümmung mittels isothermer Koordinaten.) Zbl 0115.16401
Reshetnyak, Yu. G.
2
1959
The method of orthogonal projections in the theory of curves. Zbl 0098.35302
Reshetnyak, Yu. G.
4
1957
Über eine Verallgemeinerung der konvexen Flächen. Zbl 0072.17601
Reshetnyak, Yu. G.
1
1956
Neuer Beweis eines Satzes von Chebotarev. Zbl 0064.27802
Reshetnyak, Yu. G.
1
1955
Eine Extremalaufgabe aus der Theorie der konvexen Kurven. Zbl 0052.18303
Reshetnyak, Yu. G.
1
1953
all top 5

Cited by 689 Authors

40 Sevost’yanov, Yevgen Oleksandrovych
35 Vodop’yanov, Sergeĭ Konstantinovich
23 Ryazanov, Vladimir Il’ich
22 Reshetnyak, Yuriĭ Grigor’evich
18 Onninen, Jani
17 Salimov, Ruslan Radikovich
16 Koskela, Pekka
15 Vuorinen, Matti Keijo Kustaa
13 Kopylov, Anatoliĭ Pavlovich
13 Ukhlov, Alexander Dadar-Oolovich
11 Gol’dshtein, Vladimir Mikhailovich
11 Heinonen, Juha
11 Iwaniec, Tadeusz
10 Golberg, Anatoly
10 Vasil’eva, Anastasiya Andreevna
9 Fonseca, Irene
9 Müller, Stefan
9 Wenger, Stefan
8 Ball, John MacLeod
8 Gmeineder, Franz
8 Gutlyanskiĭ, Vladimir Ya.
8 Isangulova, D. V.
8 Martio, Olli
8 Nikolaev, Igor Georgievich
7 Ambrosio, Luigi
7 Fuchs, Martin
7 Kudryavtseva, N. A.
7 Neff, Patrizio
7 Rajala, Kai
6 Breit, Dominic
6 Dal Maso, Gianni
6 Hajłasz, Piotr
6 Hencl, Stanislav
6 Koski, Aleksis
6 Kristensen, Jan
6 Lytchak, Alexander
6 Pankka, Pekka
6 Semenov, Vladimir I.
6 Shlyk, Vladimir Alekseevich
6 Srebro, Uri
6 Sychev, Mikhail A.
6 Troyanov, Marc
6 Tryamkin, Maksim Vladimirovich
6 Yakubov, Eduard H.
5 Aseev, Vladislav Vasil’evich
5 Besov, Oleg Vladimirovich
5 Evseev, Nikita Aleksandrovich
5 Giaquinta, Mariano
5 Guo, Changyu
5 Hurri-Syrjānen, Ritva
5 Malý, Jan
5 Modica, Giuseppe
5 Molchanova, Anastasia Olegovna
5 Slavskiĭ, Viktor Vladimirovich
5 Tyson, Jeremy T.
5 Zheng, Shenzhou
5 Zhong, Xiao
4 Afanas’eva, Elena Sergeevna
4 Berg, I. David
4 Bonk, Mario
4 Cianchi, Andrea
4 Dairbekov, Nurlan Slyamkhanovich
4 Diening, Lars
4 Egorov, Aleksandr Anatol’evich
4 Faraco, Daniel
4 Giga, Yoshikazu
4 Harjulehto, Petteri
4 James, Richard D.
4 Korobkov, Mikhail V.
4 Kovtonyuk, D. A.
4 Kurta, Vasyl’ Vasyl’ovych
4 Lewintan, Peter
4 Lindqvist, Peter
4 Malyutina, Aleksandra Nikolaevna
4 Miklyukov, Vladimir Mikhaiĭlovich
4 Mucci, Domenico
4 Murat, François
4 Raită, Bogdan
4 Rindler, Filip
4 Santos, Carlos Alberto P.
4 Sbordone, Carlo
4 Schikorra, Armin
4 Shimomura, Tetsu
4 Soucek, Jiri
4 Tengvall, Ville
4 Yan, Baisheng
4 Zhang, Kewei
3 Alexander, Stephanie B.
3 Amar, Micol
3 Apanasov, Boris Nikolaevich
3 Aviles, Patricio
3 Barroso, Ana Cristina
3 Beck, Lisa
3 Ciarlet, Philippe Gaston
3 Crismale, Vito
3 De Arcangelis, Riccardo
3 Dovhopiatyi, Oleksandr Petrovych
3 Dubinin, Vladimir N.
3 Elizarova, Mariya Aleksandrovna
3 Fu, Joseph Howland Guthrie
...and 589 more Authors
all top 5

Cited in 180 Serials

127 Siberian Mathematical Journal
38 Archive for Rational Mechanics and Analysis
38 Journal of Mathematical Sciences (New York)
25 Calculus of Variations and Partial Differential Equations
22 Journal d’Analyse Mathématique
22 Doklady Mathematics
19 Journal of Mathematical Analysis and Applications
19 The Journal of Geometric Analysis
17 Mathematical Notes
16 Ukrainian Mathematical Journal
14 Journal of Functional Analysis
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Advances in Mathematics
12 Proceedings of the American Mathematical Society
12 Transactions of the American Mathematical Society
10 Israel Journal of Mathematics
10 Geometriae Dedicata
10 Manuscripta Mathematica
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
9 Duke Mathematical Journal
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
8 Mathematische Annalen
7 Journal of Differential Equations
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 St. Petersburg Mathematical Journal
7 Conformal Geometry and Dynamics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Revista Matemática Iberoamericana
6 Russian Journal of Mathematical Physics
6 Acta Mathematica Sinica. English Series
6 Computational Methods and Function Theory
6 Proceedings of the Steklov Institute of Mathematics
6 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
5 Journal für die Reine und Angewandte Mathematik
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 SIAM Journal on Mathematical Analysis
5 Complex Variables and Elliptic Equations
5 Complex Analysis and Operator Theory
5 Analysis and Mathematical Physics
5 Annales Fennici Mathematici
4 Michigan Mathematical Journal
4 Acta Applicandae Mathematicae
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Elasticity
4 Journal of the European Mathematical Society (JEMS)
4 Advances in Calculus of Variations
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Arkiv för Matematik
3 Acta Mathematica
3 Annales de l’Institut Fourier
3 Publications Mathématiques
3 Numerische Mathematik
3 Acta Mathematica Hungarica
3 Differential Geometry and its Applications
3 NoDEA. Nonlinear Differential Equations and Applications
3 Sbornik: Mathematics
3 Journal of Mathematical Fluid Mechanics
3 Communications in Contemporary Mathematics
3 Boundary Value Problems
2 Computers & Mathematics with Applications
2 Communications in Mathematical Physics
2 Journal of Computational Physics
2 Journal of Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Illinois Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of Geometry
2 Memoirs of the American Mathematical Society
2 Osaka Journal of Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
2 Ricerche di Matematica
2 Ergodic Theory and Dynamical Systems
2 Zeitschrift für Analysis und ihre Anwendungen
2 Annals of Global Analysis and Geometry
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 SIAM Review
2 Bulletin of the American Mathematical Society. New Series
2 Russian Mathematics
2 Bulletin des Sciences Mathématiques
2 Electronic Research Announcements of the American Mathematical Society
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Mathematics and Mechanics of Solids
2 Revista Matemática Complutense
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Lobachevskii Journal of Mathematics
2 Differential Equations
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Journal of Fixed Point Theory and Applications
2 Inverse Problems and Imaging
2 Analysis & PDE
2 Eurasian Mathematical Journal
...and 80 more Serials
all top 5

Cited in 52 Fields

318 Functions of a complex variable (30-XX)
170 Partial differential equations (35-XX)
160 Functional analysis (46-XX)
154 Calculus of variations and optimal control; optimization (49-XX)
139 Differential geometry (53-XX)
91 Real functions (26-XX)
86 Mechanics of deformable solids (74-XX)
47 Global analysis, analysis on manifolds (58-XX)
43 Potential theory (31-XX)
33 Operator theory (47-XX)
30 Measure and integration (28-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
23 Geometry (51-XX)
20 Convex and discrete geometry (52-XX)
19 Manifolds and cell complexes (57-XX)
15 Dynamical systems and ergodic theory (37-XX)
15 Fluid mechanics (76-XX)
14 Approximations and expansions (41-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Abstract harmonic analysis (43-XX)
12 Numerical analysis (65-XX)
9 Group theory and generalizations (20-XX)
9 Topological groups, Lie groups (22-XX)
9 General topology (54-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Ordinary differential equations (34-XX)
7 Probability theory and stochastic processes (60-XX)
7 Computer science (68-XX)
6 Operations research, mathematical programming (90-XX)
5 Quantum theory (81-XX)
4 Algebraic geometry (14-XX)
4 Optics, electromagnetic theory (78-XX)
4 Biology and other natural sciences (92-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year

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