A remark on differentiability properties of solutions of some elliptic equations
Abstract
A class of nondivergence unifrmly elliptic equations with measurable coefficients is studied. The oscillation of the coefficients near a Lebesgue point is assumed to be controlled by increasing functions satisfying Dini's condition.
Under this assumption, slightly weaker than that of L. A. Caffarelli [2], a pointwise estimate for "good solutions" is established and related second order differentiability properties are pointed out.
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