A Liouville Problem for the Sigma-2 Equation
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چکیده
= 1 with convex level set {λ | σ2 (λ) = 1} . However the ellipticity is not uniform even under the strict convexity assumption on u, Du > 0. The standard Evans-Krylov-Safonov theory does not apply. To apply this theory, we make a Legendre-Lewy type transformation of the solution u so that the new function has bounded Hessian (Step 1); the new corresponding equation is convex (only under the particular assumption Du ≥
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تاریخ انتشار 2010