Abstract
One obtains inner and boundary estimates of the Holder constants for functions u(·) satisfying a uniformly elliptic or uniformly parabolic quasilinear inequality of nondivergence form with unbounded coefficients. It is shown that the Holder exponents in them depend only on the dimension W and on the constantsγ and μ occurring in the ellipticity conditions. In the boundary estimates they depend also on the constant θ0, occurring in the condition (A) on the boundary and on the Holder exponent for the boundary values of u(·).
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