Proves that 2-convex solutions u to σ₂(D²u)=1 with quadratic growth are quadratic polynomials in R^n for n≥3, using Pogorelov and global gradient estimates.
Global C 2 Estimates for Convex Solutions of Cur- vature Equations
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A Liouville type theorem to $2$-Hessian equations
Proves that 2-convex solutions u to σ₂(D²u)=1 with quadratic growth are quadratic polynomials in R^n for n≥3, using Pogorelov and global gradient estimates.