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- W1986433681 abstract "We describe how to use the perturbation theory of Caffarelli to prove Evans-Krylov type $C^{2,alpha}$ estimates for solutions of nonlinear elliptic equations in complex geometry, assuming a bound on the Laplacian of the solution. Our results can be used to replace the various Evans-Krylov type arguments in the complex geometry literature with a sharper and more unified approach. In addition, our methods extend to almost-complex manifolds, and we use this to obtain a new local estimate for an equation of Donaldson." @default.
- W1986433681 created "2016-06-24" @default.
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- W1986433681 date "2014-11-04" @default.
- W1986433681 modified "2023-10-18" @default.
- W1986433681 title "$$C^{2,alpha }$$ C 2 , α estimates for nonlinear elliptic equations in complex and almost complex geometry" @default.
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- W1986433681 doi "https://doi.org/10.1007/s00526-014-0791-0" @default.
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