 Mathematical analysis of SIR models with a complex coinfection and density dependence, 2018, submitted to Computational and Mathematical Methods (with Samia Ghersheen, Vladimir Kozlov, and Uno Wennergren) ,
 New explicit solutions to the pLaplace equation based on isoparametric foliations, submitted, 2018, Available on [arXiv:1802.09892 ] ,
 The universality of one half in commutative nonassociative algebras with identities, submitted to J. Algebra, 2018, Available on [arXiv:1808.03808 ] ,
 Dynamical behaviour of SIR model with coinfection: the case of finite carrying capacity, submitted to Math. Mathods in Appl. Sci., 2018, Available on [arXiv:1808.04846] , (with Samia Ghersheen, Vladimir Kozlov, and Uno Wennergren)
 Global stability and persistence of complex foodwebs, submitted, 2017, Available on [arXiv:1712.02995 ] , (with Vladimir Kozlov, Sergey Vakulenko and Uno Wennergren)

Permanency of the agestructured population model on several temporally variable patches, submitted, 2017,
Available on [arXiv:1702.05979
]
, (with Vladimir Kozlov, Sonja Radosavljevic, and Uno Wennergren)
Papers
2019
 Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs, to appear in Maz'ya 80th birthday issue of Algebra i Analiz, 31(2019), no. 2, 5174, see also St. Petersburg Math. J.

Algebraic cmc hypersurface of order 3 in Euclidean spaces,
J. Geometry, 110(2019), no. 1, 110:6
Available on [arXiv:1706.05093]
, (with Oscar Perdomo)
2018
 Biodiversity and robustness of large ecosystems, Ecological Complexity, 36(2018), 101109 Available on [arXiv:1712.02995 ] , (with Vladimir Kozlov, Sergey Vakulenko and Uno Wennergren)
 Idempotent geometry in generic algebrass, Adv. Appl. Clifford Algebr., 2018, 28:84 Available on [arXiv:1802.04994] , (with Yakov Krasnov)
 On an extremal property of Jordan algebras of Clifford type, Comm. Algebra, to appear, 2018, Available on [arXiv:1802.04994] ,
 Variety of idempotents in nonassociative algebras, Modern Trends in Hypercomplex Analysis, Trends Math. Birkhauser/Springer, 2018, to appear. Available on [arXiv:1801.00617] , (with Yakov Krasnov)
 Sharp pointwise gradient estimates for Riesz potentials with a bounded density, Anal. Math. Physics., 2018, Available on [arXiv:1803.11376] ,
 New construction techniques for minimal surfaces, Complex Variables and Elliptic Equations, 2018, to appear [arXiv:1503.03234] , (with Jens Hoppe)

A correction of the decomposability result in a paper by MeyerNeutsch,
Journal of Algebra, 2018, 504: 432439 [arXiv:1503.03234]
,
2016
 Persistence analysis of the agestructured population model, CMMSE 2016. Universidad de Cádiz, 2016. Vol.3, 717727. (with Vladimir Kozlov, Sonja Radosavljevic, and Uno Wennergren)

On the nonvanishing property for real analytic solutions of the \(p\)Laplace equation,
Proc. Amer. Math. Soc., 2016, 144: 23752382 [arXiv:1503.03234]
,
2014

A Jordan algebra approach to the eiconal equation,
Journal of Algebra, 2014, 419:3451 [arXiv:1211.7223]
,

A note on isoparametric polynomials,
Analysis and Mathematical Physics,
2014, 4(3):237245 [arXiv:1209.0155]
,
2012

Nonclassical solution to Hessian equation from Cartan isoparametric cubic (with
Nikolai Nadirashvili, Serge G. Vlăduţ
),
Advances in Mathematics, 2012, 231(3/4):15891597
[arXiv:1211.7223]
, Google
2011
 On the exponential transform of multisheeted algebraic domains (with B. Gustafsson), Computational Methods and Function Theory, 2011, 11(2):91615 [arxiv:1101.0799] ,

On the exponential transform of lemniscates (with B. Gustafsson),
in Trends in Mathematics, Notions of Positivity and the Geometry of Polynomials (eds. P. Branden, M. Passare and M. Putinar), 2011, 239257
[arxiv:1101.0794]
,
2010
 Minimal cubic cones via Clifford algebras, Complex Anal. and Operator Theory, 2010, 4(3): 685700 [arxiv:1003.0215]

A generalization of Cartan's theorem on isoparametric cubics,
Proc. Amer. Math. Soc., 2010, 138(8):28892895
[arxiv:1001.2387]
,
Before 2010
 On the Jacobian of the harmonic moment map (with B. Gustafsson), Complex Anal. and Operator Theory, 2009, 3(2):399417 [arxiv:0903.3471] ,
 Disjoint minimal graphs, Anal. Global Analysis and Geom., 2009, 35(2):139155. [arxiv:0807.3694],
 The resultant on compact Riemann surfaces (with B. Gustafsson), Comm. Math. Physics 2009, 286:313358, [arxiv:0710.2326]
 Entire solutions of some quasilinear equations with quadratic principal symbol (with Zorina I.G.), Vestnik SamGU, Matematika, 2008, 62(3), 108123.
 Positive definite collections of disks Indiana Univ. Math. J., 2006, 55(6):380388. [arxiv:0709.4460]
 Algebraic structure of quasiradial solutions to the \(\gamma\)harmonic equation Pacific J. Math., 2006, 226(1):179200, [arxiv:0709.4472]
 Entire solutions of the Simon equation (with Zorina I.G.), Geometric Analysis and applications, Proceedings, Volgograd, 2005, p. 5574
 Subharmonicity of higher dimensional exponential transforms, Operator Theory: Advances and Appl., 2005, 156:257277, [arxiv:0902.2742]
 Ullemar formula for the moment map, II, Linear Algebra and Appl., 2005, 404: 380388, [arxiv:0709.4275]
 Ullemar's formula for the Jacobian of the complex moment mapping (with Kuznetsova O.S.), Complex Variables and Appl., 2004, 49:5572, [arxiv:0306324]

Length functions on lemniscates , (with Kuznetsova O.S.)
Manuscripta Math., 2003, 112(4):519538,
[arxiv:0306327]

Doubly periodic maximal surfaces with singularities (with Sergienko V.V.),
Siberian Adv. Math. 2002, 12(1):7791, [arxiv:0903.1368]

Unsolved problems in analysis
Science Journal of Volgograd State University. Mathematics. Physics., 2002, 7:2033. (in Russian)

Radial symmetric solutions of the HeleShaw equation (with Mankaeva G.A.)
Science Journal of Volgograd State University. Mathematics. Physics., 2001, 6:8093. (in Russian)

Some examples of \(p\)minimal surfaces (with Yakhontov S.V.)
Science Journal of Volgograd State University. Mathematics. Physics., 2001, 6:7680. (in Russian)

On the Gauss map of embedded minimal tubes (with Reshetninkova I.M),
Note di Matematica 1999/2000, 19(1):717, [arxiv:0903.0228]

Entire oneperiodic maximal surfaces
(with Sergienko V.V.),
The MansfieldVolgograd Journal, Ed.: James York Glimm, Mansfield University of
Pennsylvania, 2000. 148156. [arxiv:0902.3810]
 Asymptotic properties of solutions of the HeleShaw equation (with Kuznetsova O.S.), Dokl. Akad. Nauk, 1999, 367(2):164165.
 Minimal tubes of finite integral curvature Siberian Math. J., 1998, 39(1):159167,

On the starlike minimal surfaces
Science Journal of Volgograd State University. Mathematics. Physics., 1998, 3(1):5258, DJVU

External geometry of pminimal surfaces,
Geometry from the Pacific Rim,
Walter de Gruyter, Berlin, 1997, 363375, [arxiv:0903.0176]

DenjoyAhlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces
(with Miklyukov V.M.)
Comm. Anal. Geom.
1996, 4(4):547587, [arxiv:0903.2326]
Cited by 18

On the bore radius for minimal surfaces
Math. Notes 1996, 59(56):657660,

On the gaussian image of minimal tubes with nondegenerate angle of flowvector
(with Reshetninkova I.M)
Science Journal of Volgograd State University. Mathematics. Physics. 1996, 1(1):3540,

Lifetime of minimal tubes and coefficients of univalent functions in a circular ring,
Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 1995, 20:1926, , a scanned copy here

A remark on the JorgensCalabiPogorelov theorem
Dokl. Akad. Nauk 1995, 340(3):317318.

Finiteness of the number of ends of minimal submanifolds in Euclidean space
Manuscr. Math., 1994, 82(34):313330, [arxiv:0903.0169]

Some estimates for the mean curvature of nonparametric surfaces defined over domains in \(\mathbb{R}^n\),
J. Math. Sci., 1994, 72(4):32503260,

A sharp lower bound for the first eigenvalue on a minimal surface,
Math. Notes, 1993, 54(12):835840,

Some estimates for the mean curvature of graphs over domains in \(\mathbb{R}^n\),
Soviet Math. Dokl., 1991 42(2):387390,

Some properties of tube minimal surfaces of arbitrary codimension
(with Miklyukov V.M.),
Math. USSRSb.,
1991, 68(1):133150,
 The structure in the large of externally complete minimal surfaces in \(\mathbb{R}^3\) (with Miklyukov V.M.), Izv. Vyssh. Uchebn. Zaved. Mat., 1987, 7:3036 (in English) (in Russian)

On a theorem of S.T. Yau and S.Y. Cheng,
original (in Russian) and English translation here
Proc. XXIId Conference "A Student and The Scientific Progress." , Novosibirsk, 1984, 6668.
Monography
Nikolai Nadirashvili, Vladimir Tkachev, Serge G. Vlăduţ,
Nonlinear Elliptic Equations and Nonassociative Algebras Vol.200, Mathematical Surveys and Monographs, AMS, 2014, 240 pp.
See also selected chapters on the AMS website. See also Serge G. Vlăduţ presentation of the main results of the book in his talk on the conference "Algebraic Geometry and Number Theory", 2014, Moscow 
Submitted
Conference Paper Abstracts
 Complex moments and starlike polynomials , Problems of Function Theory, Saratov, Saratov State Univeristy, 2002, 110111 (with Kuznetsova O.S.)
 Twoperiodic maximal surfaces with singularities, Proceedings on Analysis and Geometry, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000, 571584 (with Sergienko V.V.)
 Minimal surfaces of finite projective volume , Geometric analysis and its applications, Scientific schools of Volgograd State University. Ed: Miklyukov V.M., Volgograd, 1999, 369410.
 Minimal hypersurfaces of finite projective volume , Geometrical Analsis: Scientific Scools of VolSU, Volgograd, 1999, 369410.
 Upper estimates of volume growth for minimal quasigraphs , ICM 1998, Abstracts of short communications. Berlin, Aug. 1827, 1998, 8283.
 Starlike minimal hypersurfaces and Simon's problem, Trudy nauchn. konf., Volgograd, Iss. 4 , Volgograd, VolSU, 1996, 1521.
 Starlike minimal hypersurfaces , Abstracts of Conference on Differential Geometry, Budapest, July 2730, 1996. Budapest, 1996, p. 116.
 Minimal hypersurfaces which are graphs over spheres, In Geometry in large, Cherkassk State University, 1116 September, 1995. p.36.
 Minimal submanifolds of finite projective volume, Trudy nauchn. konf., Volgograd, 59 December 1994, VolSU Ed., Volgograd, 1995, 2329.
 The number of branches of the minimal submanifolds in Euclidean space , Proc. of ICM 94, Zurich, 1994, p.55.
 Estimates of exterior radius of elliptic hypersurfaces , Depon. VINITI, 1992, Manuscr. No 2031B92, 17 p.
 Fuglede's theorem in Finsler space, In Potential Theory, Kiev, 1991, p. 19. (with Ushakov A.N.)
 Minimal hypersurfaces in \(\mathbb{R}^n\) with finite multiplicity of spherical projection , Abstracts of Conference on Complex Analysis, Tashkent, 1989, p. 118.
 Interior and exterior structure of minimal submanifolds of arbitrary codimension , In Geometry and Analysis, Novosibirsk, Institute of Math., 1989, p. 109.
 On a sufficient condition of parabolicity for minimal surfaces with degenerating mean curvature vector , In Geometric function theory", Novosibirsk, Institute of Math., 1988, p. 101.
 On a sufficient condition of parabolicity , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 213.
 On one property of minimal bands , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 214. (with Miklyukov V.M.)
 On a sufficient condition of parabolicity of twodimensional minimal surfaces in \(\mathbb{R}^n\) , In Geometry in large, Novosibirsk, Institute of Math., 1987, p. 119.
 On structure of complete minimal surfaces in \(\mathbb{R}^n\) , Abs. of Conference "Complex methods in Mathematical Physics", Donezk, 1984, 156157 (with Miklyukov V.M.)
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