[Authors]
Filimonenkova, N. V.; Bakusov, P. A.
[Title]
Hyperbolic polynomials and Garding’s cones
[AMS Subj-class]
11T06 Polynomials
15B48 Positive matrices and their generalizations; cones of matrices
35J66 Nonlinear boundary value problems for nonlinear elliptic equations
[Abstract]
The article provides an overview of the theory of hyperbolic polynomials,
founded in the middle of XX century by the Swedish mathematician Lars Garding.
We describe the origin of this theory, the basic facts about the hyperbolic
polynomials and Garding's cones, the typical examples and application area,
in particular the role that they have played in the modern theory of fully
nonlinear partial differential equations.
[Keywords]
hyperbolic polinomials, Garding’s cones, fully nonlinear partial differential
equations
[Comments]
LaTeX, Russian, 22 pp.
[Contact e-mail]
nf33@yandex.ru