-
Liouville property and regularity of a Hessian quotient equation
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 125, Number 2, April 2003
- pp. 301-316
- 10.1353/ajm.2003.0007
- Article
- Additional Information
- Purchase/rental options available:
We are concerned with properties of (convex) solutions to the Hessian quotient equation Sn,k(D2u) = φ, 1 ≤ k < n. As our first main result we prove some regularity of strong solutions, while the second states that for φ ≡ 1 an entire convex solution with a quadratic growth bound must be a quadratic polynomial.