Persons: Tkachev, Vladimir Gennadevich

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Tkachev, Vladimir Gennadevich

Total publications:	64 (62)
in MathSciNet:	49 (47)
in zbMATH:	41 (39)
in Web of Science:	36 (35)
in Scopus:	31 (31)
Cited articles:	41
Citations:	206
Presentations:	1

Number of views:
This page:	4549
Abstract pages:	3214
Full texts:	926
References:	139

Associate professor

Doctor of physico-mathematical sciences (1998)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

Website:

https://users.mai.liu.se/vlatk48

Keywords:

Minimal submanifolds. Enitre solutions of elliptic type PDEs. Quadrature domains. Jordan algebras. Nonassociative algebras

UDC:

517.53, 519.3

MSC:

53A10, 30E05, 35J60, 17C50

Subject:

Differential geometry. Elliptic type PDEs. Comlpex analysis. Nonassociative algebras

Main publications:

Nadirashvili, N., and Tkachev, V.G. and Vlǎduţ, S., Nonlinear elliptic equations and nonassociative algebras, Mathematical Surveys and Monographs, 200, AMS, 2014
Tkachev V. G., “A Jordan algebra approach to the cubic eiconal equation”, J. of Algebra, 419 (2014), 34–51
Nadirashvili, N., and Tkachev, V.G. and Vlǎduţ, S., “A non-classical solution to a Hessian equation from Cartan isoparametric cubic”, Advances in Mathematics, 231:3-4 (2012), 1589–1597
Tkachev V. G., “Disjoint minimal graphs”, Annals of Global Analysis and Geometry, 35:2 (2009), 139–155
Gustafsson, Björn and Tkachev Vladimir G., “The resultant on compact Riemann surfaces”, Communications in Mathematical Physics, 286:1 (2009), 313–358

https://www.mathnet.ru/eng/person19781

https://scholar.google.com/citations?user=j0gzL7AAAAAJ&hl=en

https://zbmath.org/authors/?q=ai:tkachev.vladimir-g

https://mathscinet.ams.org/mathscinet/MRAuthorID/246080

https://elibrary.ru/author_items.asp?authorid=615607

https://orcid.org/0000-0002-8422-6140

https://www.scopus.com/authid/detail.url?authorId=8052732700

https://www.researchgate.net/profile/Vladimir_Tkachev

https://arxiv.org/a/tkachev_v_1

Full list of publications:

scientific publications

by years

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by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	V.G. Tkachev, “The universality of one half in commutative nonassociative algebras with identities”, J. Algebra, 569 (2021), 466–510	5 ^[x]
2.	J. Andersson, S. Ghersheen, V. Kozlov, V. Tkachev, U. Wennergren, “Effect of density dependence on coinfection dynamics”, Anal. Math. Phys., 11:4 (2021), 1–28 (166)	1 ^[x]
3.	J. Andersson, S. Ghersheen, V. Kozlov, V. Tkachev, U. Wennergren, “Effect of density dependence on coinfection dynamics: part 2”, Anal. Math. Phys., 11:4 (2021), 1–40 (169)
4.	V.G. Tkachev, “New explicit solutions to the p-Laplace equation based on isoparametric foliations”, Differential Geom. Appl., 70 (2020), 18 (101629)	1 ^[x]
5.	V. G. Tkachev, A. I. Ivanov, “The effect of asymmetric charge transfer on the IR spectra of excited quadrupolar molecules”, Optics and Spectroscopy, 128:11 (2020), 1707–1714
6.	Vladimir G. Tkachev, “On an extremal property of Jordan algebras of Clifford type”, Communications in Algebra, 47:3 (2019), 1057-1066 https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1499924, arXiv: arxiv:1801.05724	2 ^[x]
7.	Jens Hoppe, Vladimir G. Tkachev, “New construction techniques for minimal surfaces”, Complex Variables and Elliptic Equations, 63 (2019) (to appear) https://www.tandfonline.com/doi/full/10.1080/17476933.2018.1542688, arXiv: 1708.05397	1 ^[x]
8.	V.G. Tkachev, O. Perdomo, “Algebraic CMC hypersurfaces of order 3 in Euclidean spaces”, Journal of Geometry, 110:1 (2019), 110 , 7 pp. link	3 ^[x]
9.	St. Petersburg Math. J., 31:2 (2019), 223–240
10.	S. Ghersheen, V. Kozlov, V. Tkachev. U. Wennergren, “Mathematical analysis of complex SIR model with coinfection and density dependence”, Comp. Math. Meth., e1042:4 (2019), 1-17 , arXiv: 1905.04920	3 ^[x]
11.	S. Ghersheen, V. Kozlov, V. Tkachev. U. Wennergren, “Dynamical behaviour of SIR model with coinfection: the case of finite carrying capacity”, Math. Meth. Appl. Sci., 42:17 (2019), 5805-5826 , arXiv: 1808.04846	4 ^[x]
12.	Yakov Krasnov, Vladimir G. Tkachev, “Variety of Idempotents in Nonassociative Algebras”, Topics in Clifford Analysis, Special Volume in Honor of Wolfgang Sprößig, Trends in Mathematics, eds. Bernstein, Swanhild, Birkhäuser/Springer, 2019, 405-436	3 ^[x]
13.	V. G. Tkachev, “V.M. Miklyukov: from dimension 8 to nonassociative algebras”, Mathematical Physics and Computer Simulation, 22:2 (2019), 33–50
14.	V. Kozlov, V.G. Tkachev, S. Vakulenko, U. Wennergren, “Global stability and persistence of complex foodwebs”, Ann. Mat. Pura Appl., 198:5 (2019), 1693–1709	2 ^[x]
15.	Vladimir G. Tkachev, “A correction of the decomposability result in a paper by Meyer-Neutsch”, Journal of Algebra, 504C (2018), 432-439 (Published online) , arXiv: https://arxiv.org/abs/1801.02339}{https://arxiv.org/abs/1801.02339}	7 ^[x]
16.	Vladimir G. Tkachev, “Sharp pointwise gradient estimates for Riesz potentials with a bounded density”, Analysis and Mathematical Physics, 8:2 (2018), 1-20 (Published online) https://link-springer-com.e.bibl.liu.se/article/10.1007, arXiv: https://arxiv.org/abs/1803.11376	2 ^[x]
17.	Ya. Krasnov, Vladimir G. Tkachev, “Idempotent Geometry in Generic Algebras”, Adv. Appl. Clifford Algebr., 28:5, Proceedings ICCA 11, Ghent, 2017 (2018), 28:84 https://link.springer.com/article/10.1007, arXiv: https://arxiv.org/abs/1802.04994	5 ^[x]
18.	V. Kozlov, S. Vakulenko, U. Wennergren, V. Tkachev, “Biodiversity and robustness of large ecosystems”, Ecological Complexity, 36 (2018), 101-109	1 ^[x]
19.	V. G. Tkachev, “On the non-vanishing property for real analytic solutions of the $p$-Laplace equation”, Proc. Amer. Math. Soc., 144:6 (2016), 2375–2382 , arXiv: 1503.03234	6 ^[x]
20.	V. G. Tkachev, “A Jordan algebra approach to the cubic eiconal equation”, J. Algebra, 419 (2014), 34–51 , arXiv: 1211.7223	5 ^[x]
21.	V. G. Tkachev, “A note on isoparametric polynomials”, Anal. Math. Phys., 4:3 (2014), 237–245 , arXiv: 1209.0155	2 ^[x]
22.	N. Nadirashvili, V. Tkachev, S. Vlăduţ, “A non-classical solution to a Hessian equation from Cartan isoparametric cubic”, Adv. Math., 231:3-4 (2012), 1589–1597 , arXiv: 1111.0329	14 ^[x]
23.	B. Gustafsson, V. Tkachev, “On the exponential transform of lemniscates”, Notions of positivity and the geometry of polynomials, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2011, 239–257 , arXiv: 1101.0794
24.	B. Gustafsson, V. G. Tkachev, “On the exponential transform of multi-sheeted algebraic domains”, Comput. Methods Funct. Theory, 11:2 (2011), 591–615	18 ^[x]
25.	V. Tkachev, “Minimal cubic cones via Clifford algebras”, Complex Anal. Oper. Theory, 4:3 (2010), 685–700	14 ^[x]
26.	V. G. Tkachev, “A generalization of Cartan's theorem on isoparametric cubics”, Proc. Amer. Math. Soc., 138:8 (2010), 2889–2895	7 ^[x]
27.	B. Gustafsson, V. Tkachev, “On the Jacobian of the harmonic moment map”, Complex Anal. Oper. Theory, 3:2 (2009), 399–417	3 ^[x]
28.	V. G. Tkachev, “Disjoint minimal graphs”, Ann. Global Anal. Geom., 35:2 (2009), 139–155	4 ^[x]
29.	B. Gustafsson, V. G. Tkachev, “The resultant on compact Riemann surfaces”, Comm. Math. Phys., 286:1 (2009), 313–358	19 ^[x]
30.	I. A. Zorina, V. G. Tkachev, “O tselykh resheniyakh kvazilineinykh uravnenii s kvadratichnoi glavnoi chastyu”, Vestnik Samarskogo Gosudarstvennogo Universiteta, Ser. estestv. nauk., 2008, no. 3, 108–123 Link to PDF
31.	V. G. Tkachev, “Positive definite collections of disks”, Indiana Univ. Math. J., 55:6 (2006), 1907–1934 , arXiv: 0709.4460
32.	V. G. Tkachev, “Algebraic structure of quasiradial solutions to the $\gamma$-harmonic equation”, Pacific J. Math., 226:1 (2006), 179–200 , arXiv: 0709.4472	2 ^[x]
33.	V. G. Tkachev, “Ullemar's formula for the moment map”, Linear Algebra Appl., 404 (2005), 380–388 , arXiv: 0709.4275	8 ^[x]
34.	V. G. Tkachev, “Subharmonicity of higher dimensional exponential transforms”, Quadrature domains and their applications, Oper. Theory Adv. Appl., 156, Birkhäuser, Basel, 2005, 257–277 , arXiv: 0902.2742	1 ^[x]
35.	O. S. Kuznetsova, V. G. Tkachev, “Ullemar's formula for the Jacobian of the complex moment mapping”, Complex Var. Theory Appl., 49:1 (2004), 55–72 , arXiv: 0306324	3 ^[x]
36.	O. S. Kuznetsova, V. G. Tkachev, “Length functions of lemniscates”, Manuscripta Math., 112:4 (2003), 519–538 , arXiv: 0306327	5 ^[x]
37.	G.A. Mankaeva, V. G. Tkachev, “O logarifmicheskoi vypuklosti dliny lemniskaty”, Modeli i diskretnye struktury: Sb. nauch. tr. Elista, Dzhangar, 2002, 111-119
38.	V. G. Tkachev, “Positive trigonometric polynomials”, Tr. kaf. matem. analiza i teorii funktsii Volgogradskogo gosudarstvennogo universiteta, VolGU, Volgograd, 2002, 161-173 Link to abstract and PDF
39.	G.A. Mankaeva, V. G. Tkachev, “Radialno simmetricheskie resheniya uravneniya Khele-Shou”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 6:1 (2001), 80-93
40.	V. G. Tkachev, S.V. Yakhontov, “Primery p-minimalnykh poverkhnostei”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 6:1 (2001), 76-80
41.	V. V. Sergienko, V. G. Tkachev, “Double periodic maximal surfaces with singularities”, Siberian Adv. Math., 12:1 (2002), 77–91 , arXiv: 0903.1368
42.	V. V. Sergienko, V. G. Tkachev, “Entire one-periodic maximal surfaces”, The Mansfield-Volgograd Journal, eds. Ed.: James York Glimm, Mansfield University of Pennsylvania, 2000, 148-156 arxiv: 0902.3810
43.	I. M. Reshetnikova, V. G. Tkachev, “On the Gauss map of embedded minimal tubes”, Note Mat., 19:1 (1999), 7–17 (2000) Link to PDF, arXiv: 0903.0228
44.	O. S. Kuznetsova, V. G. Tkachev, “Asymptotic properties of solutions of the Hele-Shaw equation”, Dokl. Akad. Nauk, 367:2 (1999), 164–165 Link to PDF
45.	V. G. Tkachev, “Minimal tubes of finite integral curvature”, Siberian Math. J., 39:1 (1998), 159–167
46.	V. G. Tkachev, “Zvezdnye minimalnye poverkhnosti”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika., 3:1 (1998), 52-58 Link to abstract and PDF
47.	V. G. Tkachev, “On the bore radius for minimal surfaces”, Math. Notes, 59:6 (1996), 657–660
48.	V. Miklyukov, V. Tkachev, “Denjoy-Ahlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces”, Comm. Anal. Geom., 4:4 (1996), 547–587 , arXiv: 0903.2326	7 ^[x]
49.	I. M. Reshetnikova, V. G. Tkachev, “O gaussovom obraze minimalnykh trubok s nenulevym uglom vektora potoka”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika., 1:1 (1996), 35-40 Link to abstract and PDF
50.	V. G. Tkachev, “Life-time of minimal tubes and coefficients of univalent functions in a circular ring”, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform., 20 (1995), 19–26
51.	V. G. Tkachev, “A remark on the Jörgens-Calabi-Pogorelov theorem”, Dokl. Akad. Nauk, 340:3 (1995), 317–318 Link to PDF, arXiv: 1311.1498
52.	V. G. Tkachev, “Finiteness of the number of ends of minimal submanifolds in Euclidean space”, Manuscripta Math., 82:3-4 (1994), 313–330	5 ^[x]
53.	V. G. Tkachev, “A sharp lower bound for the first eigenvalue on a minimal surface”, Math. Notes, 54:2 (1993), 835–840
54.	V. G. Tkachev, “Some estimates for the mean curvature of nonparametric surfaces defined over domains in $\mathbb{R}^n$”, Ukrain. Geom. Sb., 1992, no. 35, 135–150, 166 Link to PDF	2 ^[x]
55.	V. G. Tkachev, “Some estimates for the mean curvature of graphs over domains in $\mathbb{R}^n$”, Soviet Math. Dokl., 42:2 (1991), 387–390 Link to PDF ; V. G. Tkachev, “Nekotorye otsenki srednei krivizny grafikov nad oblastyami v Rn”, Doklady AN SSSR, 314:1 (1990), 140-143 (to appear)
56.	V. G. Tkachev. A.N. Ushakov, “Teorema Fuglede v finslerovom prostranstve”, Tez. dokl. Vsesoyuzn. shkoly “Teoriya potentsiala” (Kiev, 1991), IM AN USSR, 1991, 19
57.	V. M. Miklyukov, V. G. Tkachev, “Some properties of the tubular minimal surfaces of arbitrary codimension”, Math. USSR-Sb., 68:1 (1991), 133–150
58.	V. M. Miklyukov, V. G. Tkachev, “The structure in the large of externally complete minimal surfaces in $\mathbb{R}^3$”, Soviet Math. (Iz. VUZ), 31:7 (1987), 37–45 Link to PDF
59.	V. G. Tkachev, “Ob odnoi teoreme Chenga i Yao”, Materialy XXII Vsesoyuznoi nauchnoi studencheskoi konferentsii “Student i NTP” (Novosibirsk, mai 1984), NGU, 1984, 66-68 Link to PDF
Books

60.	N. Nadirashvili, V. Tkachev, S. Vlăduţ, Nonlinear elliptic equations and nonassociative algebras, Mathematical Surveys and Monographs, 200, American Mathematical Society, Providence, RI, 2014 , viii+240 pp.	13 ^[x]
Preprints

61.	O.S. Kouznetsova, V. G. Tkachev, Analysis on lemniscates and Hamburger’s moments, Preprint TRITA-MAT-03-MA-04, Royal Institute of Technology, Stockholm, 2003 , 37 pp. Link to PDF
ArXiv

62.	V. G. Tkachev, Non-isoparametric solutions of the eikonal equation, 2010 (Published online) , 12 pp., arXiv: 1009.1842
Personalia

63.	F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Russian Math. Surveys, 69:3 (2014), 565–568

Presentations in Math-Net.Ru

1.	Неассоциативные алгебры кубических минимальных конусов V. G. Tkachev Differential geometry and applications September 11, 2023 16:45

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