# zbMATH — the first resource for mathematics

## Klyachin, Vladimir Aleksandrovich

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 Author ID: klyachin.vladimir-aleksandrovich Published as: Klyachin, V. A.; Klyachin, Vladimir A.; Klyachin, Vladimir Aleksandrovich External Links: MGP · Math-Net.Ru · ORCID
 Documents Indexed: 32 Publications since 1991
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#### Co-Authors

 17 single-authored 7 Miklyukov, Vladimir Mikhaiĭlovich 2 Grigorieva, Elena Gennadievna 1 Avkhadiev, Farit Gabidinovich 1 Botvinnik, V. A. 1 Chebanenko, Nikita Alekseevich 1 Chirka, Evgeni M. 1 Dubinin, Vladimir N. 1 Gol’dstein, Vladimir Mikailovitch 1 Goryainov, Viktor V. 1 Grigor’yan, Alexander Asaturovich 1 Kesel’man, V. M. 1 Kochetov, A. V. 1 Latfullin, T. G. 1 Loboda, Alexander Vasil’evich 1 Losev, Alexander G. 1 Martio, Olli 1 Medvedeva, N. M. 1 Pabat, E. A. 1 Pelikh, V. I. 1 Pinchuk, Sergey 1 Reshetnyak, Yuriĭ Grigor’evich 1 Romanov, Aleksandr Sergeevich 1 Sergeev, Armen Glebovich 1 Shirokii, A. A. 1 Shurkaeva, D. V. 1 Tkachev, Vladimir G. 1 Vodop’yanov, Sergeĭ Konstantinovich 1 Vuorinen, Matti Keijo Kustaa 1 Zhuravlëv, I. V. 1 Zorich, Vladimir Antonovich
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#### Serials

 5 Izvestiya: Mathematics 4 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 3 Doklady Mathematics 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Russian Mathematics 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Sbornik: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Inequalities and Applications 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Ufimskiĭ Matematicheskiĭ Zhurnal
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#### Fields

 17 Differential geometry (53-XX) 5 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

15 Publications have been cited 51 times in 40 Documents Cited by Year
Surfaces of zero mean curvature of mixed type in Minkowski space. Zbl 1076.53015
Klyachin, V. A.
2003
Maximal tubular hypersurfaces in Minkowski space. Zbl 0747.53048
Klyachin, V. A.; Miklyukov, V. M.
1991
$$C^1$$-approximation of the level surfaces of functions defined on irregular grids. Zbl 1240.65054
Klyachin, V. A.; Pabat, E. A.
2010
The Delaunay triangulation for multidimensional surfaces and its approximative properties. Zbl 1254.68338
Klyachin, V. A.; Shirokii, A. A.
2012
Geometric structure of tubes and bands of zero mean curvature. Zbl 1069.53055
Klyachin, V. A.; Miklyukov, V. M.
2003
Criteria of instability of surfaces of zero mean curvature in warped Lorentz products. Zbl 0879.53041
Klyachin, V. A.; Miklyukov, V. M.
1996
Modified Delaunay empty sphere condition in the problem of approximation of the gradient. Zbl 1351.65015
2016
Isoperimetry coefficient for simplex in the problem of approximation of derivatives. Zbl 1334.65057
Klyachin, V. A.; Shurkaeva, D. V.
2015
On a multidimensional analogue of the Schwarz example. Zbl 1252.65031
Klyachin, V. A.
2012
On the stability of extremal surfaces for a certain area-type functional. Zbl 1132.53302
Klyachin, V. A.; Medvedeva, N. M.
2007
Maximal hypersurfaces of tube type in Minkowski space. Zbl 0732.53049
Klyachin, V. A.; Miklyukov, V. M.
1991
Extremal properties for triangulation based on empty convex set condition. Zbl 1344.52012
2015
On some properties of stable and unstable surfaces with prescribed mean curvature. Zbl 1147.53008
Klyachin, V. A.
2006
A study of solutions to mixed-type equations of surfaces with zero mean curvature in the Minkowski space. Zbl 1259.35096
Klyachin, V. A.
2002
An estimate of length for tubular minimal surfaces of arbitrary codimension. Zbl 0785.53053
Klyachin, V. A.
1992
Modified Delaunay empty sphere condition in the problem of approximation of the gradient. Zbl 1351.65015
2016
Isoperimetry coefficient for simplex in the problem of approximation of derivatives. Zbl 1334.65057
Klyachin, V. A.; Shurkaeva, D. V.
2015
Extremal properties for triangulation based on empty convex set condition. Zbl 1344.52012
2015
The Delaunay triangulation for multidimensional surfaces and its approximative properties. Zbl 1254.68338
Klyachin, V. A.; Shirokii, A. A.
2012
On a multidimensional analogue of the Schwarz example. Zbl 1252.65031
Klyachin, V. A.
2012
$$C^1$$-approximation of the level surfaces of functions defined on irregular grids. Zbl 1240.65054
Klyachin, V. A.; Pabat, E. A.
2010
On the stability of extremal surfaces for a certain area-type functional. Zbl 1132.53302
Klyachin, V. A.; Medvedeva, N. M.
2007
On some properties of stable and unstable surfaces with prescribed mean curvature. Zbl 1147.53008
Klyachin, V. A.
2006
Surfaces of zero mean curvature of mixed type in Minkowski space. Zbl 1076.53015
Klyachin, V. A.
2003
Geometric structure of tubes and bands of zero mean curvature. Zbl 1069.53055
Klyachin, V. A.; Miklyukov, V. M.
2003
A study of solutions to mixed-type equations of surfaces with zero mean curvature in the Minkowski space. Zbl 1259.35096
Klyachin, V. A.
2002
Criteria of instability of surfaces of zero mean curvature in warped Lorentz products. Zbl 0879.53041
Klyachin, V. A.; Miklyukov, V. M.
1996
An estimate of length for tubular minimal surfaces of arbitrary codimension. Zbl 0785.53053
Klyachin, V. A.
1992
Maximal tubular hypersurfaces in Minkowski space. Zbl 0747.53048
Klyachin, V. A.; Miklyukov, V. M.
1991
Maximal hypersurfaces of tube type in Minkowski space. Zbl 0732.53049
Klyachin, V. A.; Miklyukov, V. M.
1991
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#### Cited by 46 Authors

 6 Karmanova, Maria B. 5 Umehara, Masaaki 5 Yamada, Kotaro 4 Akamine, Shintaro 3 Fernández, Isabel 3 Honda, Atsufumi 3 Klyachin, Vladimir Aleksandrovich 3 Lopez Fernandez, Francisco Jose 3 Poluboyarova, Natal’ya Mikhaĭlovna 3 Rossman, Wayne 2 Baĭdakova, Natalia Vasil’evna 2 Klyachin, Alekseĭ Aleksandrovich 2 Souam, Rabah 2 Yang, Seong-Deog 1 Asperti, Antonio Carlos 1 Branding, Volker 1 Bulawa, Andrew 1 Demenchuk, Alexandr K. 1 Fijimori, Shoichi 1 Fujimori, Shoichi 1 Gao, Ruihua 1 Grigorieva, Elena Gennadievna 1 Hashimoto, Kaname 1 Kato, Shin 1 Khasyanov, Ramis Shavkyatovich 1 Kim, Young Wook 1 Koh, Sung-Eun 1 Koiso, Miyuki 1 Kokubu, Masatoshi 1 Lopez Camino, Rafael 1 Miklyukov, Vladimir Mikhaiĭlovich 1 Saji, Kentaro 1 Shin, Heayong 1 Shirokii, A. A. 1 Shurkaeva, D. V. 1 Singh, Rahul Kumar 1 Takahashi, Hiroaki 1 Talenti, Giorgio G. 1 Teramoto, Keisuke 1 Tkachev, Vladimir G. 1 Umehara, Morimichi 1 Vilhena, José Antonio M. 1 Wang, Faxing 1 Wang, Yuguang 1 Yamada, Kiyonori 1 Zhang, Xiaodan
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#### Cited in 30 Serials

 6 Siberian Mathematical Journal 2 Journal of Geometry and Physics 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Mathematical Notes 1 Advances in Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Kyushu Journal of Mathematics 1 Izvestiya: Mathematics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Matematicheskie Trudy 1 Trudy Instituta Matematiki 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Pacific Journal of Mathematics for Industry 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 11 Fields

 30 Differential geometry (53-XX) 10 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Approximations and expansions (41-XX) 2 Potential theory (31-XX) 2 Computer science (68-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)