Author:
Ivochkina N. M.,Filimonenkova N. V.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Statistics and Probability
Reference34 articles.
1. L. Caffarelli, L. Nirenberg, and J. Spruck, “The Dirichlet problem for nonlinear second order elliptic equations, III. Functions of the eigenvalues of the Hessian,” Acta Math., 155, 261–301 (1985).
2. K.-S. Chou and X.-J. Wang, “A variational theory of the Hessian equations,” Commun. Pure Appl. Math., 54, 1029–1064 (2001).
3. L.C. Evans, “Classical solutions of fully nonlinear convex second order elliptic equations,” Commun. Pure Appl. Math., 25, 333–363 (1982).
4. N. V. Filimonenkova, “On the classical solvability of the Dirichlet problem for nondegenerate m-Hessian equations,” J. Math. Sci. (N. Y.), 178, No. 6, 666–694 (2011).
5. N. V. Filimonenkova, Sylvester’s criterion for m-positive matrices, St. Petersburg Math. Soc., Preprint No. 7, St. Petersburg (2014).