Partial regularity for elliptic equations
In this paper we study partial and anisotropic Schauder estimates for linear and nonlinear elliptic equations. We prove that if the inhomogeneous term f is Hölder continuous in the Xn-direction, then the mixed derivatives uxxn are Hölder continuous; if f satisfies an anisotropic Hölder continuity condition, then the second derivatives D²v satisfy related anisotropic Hölder continuity estimates.
|Collections||ANU Research Publications|
|Source:||Discrete and Continuous Dynamical Systems|
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