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