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¨Uber die L¨ osungen der Differential gleichung rt − s2 = 1

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A Liouville type theorem to $2$-Hessian equations

math.AP · 2019-06-25 · unverdicted · novelty 6.0

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.

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  • A Liouville type theorem to $2$-Hessian equations math.AP · 2019-06-25 · unverdicted · none · ref 14

    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.