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arxiv: 1501.06455 · v1 · pith:5TS2PRJ7new · submitted 2015-01-26 · 🧮 math.AP · math.DG

C^(2,α) estimates for nonlinear elliptic equations of twisted type

classification 🧮 math.AP math.DG
keywords equationsellipticestimatestwistedtypealphanonlinearapplication
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We prove a priori interior $C^{2,\alpha}$ estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex + concave. These results are particularly well suited to equations arising from elliptic regularization. As application, we obtain a new proof of an estimate of Streets-Warren on the twisted real Monge-Ampere equation.

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