### 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. Book on   ,

### Submitted

1. New explicit solutions to the p-Laplace equation based on isoparametric foliations, submitted, 2018,
Available on [arXiv:1802.09892 ] ,
2. Idempotent geometry in generic algebrass, submitted to Adv. Appl. Clifford Algebr., 2018,
Available on [arXiv:1802.04994] ,   (with Yakov Krasnov)
3. Algebraic cmc hypersurface of order 3 in Euclidean spaces, submitted to Pacific J. Math., 2018,
Available on [arXiv:1802.04994] ,   (with Oscar Perdomo,)
4. Global stability and persistence of complex foodwebs, submitted, 2017,
Available on [arXiv:1712.02995 ] ,   (with Vladimir Kozlov, Sergey Vakulenko and Uno Wennergren)
5. Permanency of the age-structured population model on several temporally variable patches, submitted, 2017,
Available on [arXiv:1702.05979 ] ,   (with Vladimir Kozlov, Sonja Radosavljevic, and Uno Wennergren)

### Papers

6. On an extremal property of Jordan algebras of Clifford type, Comm. Algebra, to appear, 2018, Available on [arXiv:1802.04994] ,
7. 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)
8. Sharp pointwise gradient estimates for Riesz potentials with a bounded density, Anal. Math. Physics., 2018,
Available on [arXiv:1803.11376] ,
9. New construction techniques for minimal surfaces,
Complex Variables and Elliptic Equations, 2018, to appear [arXiv:1503.03234] ,   (with Jens Hoppe)
10. A correction of the decomposability result in a paper by Meyer-Neutsch,
Journal of Algebra, 2018, 504: 432-439 [arXiv:1503.03234] ,
11. Persistence analysis of the age-structured population model,
12. On the non-vanishing property for real analytic solutions of the $$p$$-Laplace equation,
Proc. Amer. Math. Soc., 2016, 144: 2375-2382 [arXiv:1503.03234] ,
13. A Jordan algebra approach to the eiconal equation,
Journal of Algebra, 2014, 419:34-51 [arXiv:1211.7223] ,

14. A note on isoparametric polynomials,
Analysis and Mathematical Physics, 2014, 4(3):237-245 [arXiv:1209.0155] ,

15. Non-classical solution to Hessian equation from Cartan isoparametric cubic   (with Nikolai Nadirashvili, Serge G. Vlăduţ ), Advances in Mathematics, 2012, 231(3/4):1589-1597 [arXiv:1211.7223] ,   Cited by 15

16. On the exponential transform of multi-sheeted algebraic domains  (with B. Gustafsson),
Computational Methods and Function Theory, 2011, 11(2):91-615 [arxiv:1101.0799] ,

17. 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, 239-257 [arxiv:1101.0794] ,

18. Minimal cubic cones via Clifford algebras,
Complex Anal. and Operator Theory, 2010, 4(3): 685-700 [arxiv:1003.0215]

19. A generalization of Cartan's theorem on isoparametric cubics,
Proc. Amer. Math. Soc., 2010, 138(8):2889-2895 [arxiv:1001.2387] ,

20. On the Jacobian of the harmonic moment map   (with B. Gustafsson),
Complex Anal. and Operator Theory, 2009, 3(2):399-417 [arxiv:0903.3471] ,

21. Disjoint minimal graphs, Anal. Global Analysis and Geom., 2009, 35(2):139-155. [arxiv:0807.3694],

22. The resultant on compact Riemann surfaces   (with B. Gustafsson),
Comm. Math. Physics 2009, 286:313-358, [arxiv:0710.2326]

23. Entire solutions of some quasilinear equations with quadratic principal symbol  (with Zorina I.G.),
Vestnik SamGU, Matematika, 2008, 62(3), 108-123.

24. Positive definite collections of disks
Indiana Univ. Math. J., 2006, 55(6):380-388. [arxiv:0709.4460]

25. Algebraic structure of quasiradial solutions to the $$\gamma$$-harmonic equation
Pacific J. Math., 2006, 226(1):179-200, [arxiv:0709.4472]

26. Entire solutions of the Simon equation  (with Zorina I.G.),
Geometric Analysis and applications, Proceedings, Volgograd, 2005, p. 55-74

27. Subharmonicity of higher dimensional exponential transforms,
Operator Theory: Advances and Appl., 2005, 156:257-277, [arxiv:0902.2742]

28. Ullemar formula for the moment map, II,
Linear Algebra and Appl., 2005, 404: 380-388, [arxiv:0709.4275]

29. Ullemar's formula for the Jacobian of the complex moment mapping (with Kuznetsova O.S.),
Complex Variables and Appl., 2004, 49:55-72, [arxiv:0306324]

30. Length functions on lemniscates , (with Kuznetsova O.S.)
Manuscripta Math., 2003, 112(4):519-538, [arxiv:0306327]

31. Doubly periodic maximal surfaces with singularities (with Sergienko V.V.),
Siberian Adv. Math. 2002, 12(1):77-91, [arxiv:0903.1368]

32. Unsolved problems in analysis
Science Journal of Volgograd State University. Mathematics. Physics., 2002, 7:20-33. (in Russian)

33. Radial symmetric solutions of the Hele-Shaw equation (with Mankaeva G.A.)
Science Journal of Volgograd State University. Mathematics. Physics., 2001, 6:80-93. (in Russian)

34. Some examples of $$p$$-minimal surfaces (with Yakhontov S.V.)
Science Journal of Volgograd State University. Mathematics. Physics., 2001, 6:76-80. (in Russian)

35. On the Gauss map of embedded minimal tubes (with Reshetninkova I.M),
Note di Matematica 1999/2000, 19(1):7-17, [arxiv:0903.0228]

36. Entire one-periodic maximal surfaces (with Sergienko V.V.),
The Mansfield-Volgograd Journal, Ed.: James York Glimm, Mansfield University of Pennsylvania, 2000. 148-156. [arxiv:0902.3810]

37. Asymptotic properties of solutions of the Hele-Shaw equation (with Kuznetsova O.S.),

38. Minimal tubes of finite integral curvature
Siberian Math. J., 1998, 39(1):159-167,

39. On the starlike minimal surfaces
Science Journal of Volgograd State University. Mathematics. Physics., 1998, 3(1):52-58, DJVU

40. External geometry of p-minimal surfaces,
Geometry from the Pacific Rim, Walter de Gruyter, Berlin, 1997, 363-375, [arxiv:0903.0176]

41. Denjoy-Ahlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces (with Miklyukov V.M.)
Comm. Anal. Geom. 1996, 4(4):547-587, [arxiv:0903.2326] Cited by 18

42. On the bore radius for minimal surfaces
Math. Notes 1996, 59(5-6):657-660,

43. On the gaussian image of minimal tubes with nondegenerate angle of flow-vector (with Reshetninkova I.M)
Science Journal of Volgograd State University. Mathematics. Physics. 1996, 1(1):35-40,

44. Life-time of minimal tubes and coefficients of univalent functions in a circular ring,
Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 1995, 20:19-26, , a scanned copy here

45. A remark on the Jorgens-Calabi-Pogorelov theorem

46. Finiteness of the number of ends of minimal submanifolds in Euclidean space
Manuscr. Math., 1994, 82(3-4):313-330, [arxiv:0903.0169]

47. Some estimates for the mean curvature of nonparametric surfaces defined over domains in $$\mathbb{R}^n$$,
J. Math. Sci., 1994, 72(4):3250-3260,

48. A sharp lower bound for the first eigenvalue on a minimal surface,
Math. Notes, 1993, 54(1-2):835-840,

49. Some estimates for the mean curvature of graphs over domains in $$\mathbb{R}^n$$,
Soviet Math. Dokl., 1991 42(2):387-390,

50. Some properties of tube minimal surfaces of arbitrary codimension (with Miklyukov V.M.),
Math. USSR-Sb., 1991, 68(1):133-150,

51. The structure in the large of externally complete minimal surfaces in $$\mathbb{R}^3$$ (with Miklyukov V.M.),
Izv. Vyssh. Uchebn. Zaved. Mat., 1987, 7:30-36 (in English) (in Russian)

52. 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, 66-68.

# Conference Paper Abstracts

1. Complex moments and starlike polynomials , Problems of Function Theory, Saratov, Saratov State Univeristy, 2002, 110-111 (with Kuznetsova O.S.)
2. Two-periodic maximal surfaces with singularities, Proceedings on Analysis and Geometry, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000, 571-584 (with Sergienko V.V.)
3. Minimal surfaces of finite projective volume , Geometric analysis and its applications, Scientific schools of Volgograd State University. Ed: Miklyukov V.M., Volgograd, 1999, 369-410.
4. Minimal hypersurfaces of finite projective volume , Geometrical Analsis: Scientific Scools of VolSU, Volgograd, 1999, 369-410.
5. Upper estimates of volume growth for minimal quasigraphs , ICM 1998, Abstracts of short communications. Berlin, Aug. 18-27, 1998, 82-83.
6. Starlike minimal hypersurfaces and Simon's problem, Trudy nauchn. konf., Volgograd, Iss. 4 , Volgograd, VolSU, 1996, 15-21.
7. Starlike minimal hypersurfaces , Abstracts of Conference on Differential Geometry, Budapest, July 27-30, 1996. Budapest, 1996, p. 116.
8. Minimal hypersurfaces which are graphs over spheres, In Geometry in large, Cherkassk State University, 11-16 September, 1995. p.36.
9. Minimal submanifolds of finite projective volume, Trudy nauchn. konf., Volgograd, 5-9 December 1994, VolSU Ed., Volgograd, 1995, 23-29.
10. The number of branches of the minimal submanifolds in Euclidean space , Proc. of ICM 94, Zurich, 1994, p.55.
11. Estimates of exterior radius of elliptic hypersurfaces , Depon. VINITI, 1992, Manuscr. No 2031-B92, 17 p.
12. Fuglede's theorem in Finsler space, In Potential Theory, Kiev, 1991, p. 19. (with Ushakov A.N.)
13. Minimal hypersurfaces in $$\mathbb{R}^n$$ with finite multiplicity of spherical projection , Abstracts of Conference on Complex Analysis, Tashkent, 1989, p. 118.
14. Interior and exterior structure of minimal submanifolds of arbitrary co-dimension , In Geometry and Analysis, Novosibirsk, Institute of Math., 1989, p. 109.
15. 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.
16. On a sufficient condition of parabolicity , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 213.
17. On one property of minimal bands , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 214. (with Miklyukov V.M.)
18. On a sufficient condition of parabolicity of two-dimensional minimal surfaces in $$\mathbb{R}^n$$ , In Geometry in large, Novosibirsk, Institute of Math., 1987, p. 119.
19. On structure of complete minimal surfaces in $$\mathbb{R}^n$$ , Abs. of Conference "Complex methods in Mathematical Physics", Donezk, 1984, 156-157 (with Miklyukov V.M.)