On interior estimates of the integral moduli of continuity for derivatives of solutions of elliptic equations

We consider a general linear elliptic equation of higher order in a bounded domain. Under the assumptions that the independent term belongs to Lp, p > 1, satisfies the Hoelder condition in Lp, p > 1, with exponent α, 0 < α < 1, and the coefficients satisfy the usual Hoelder condition with exponent α, we establish a priori interior estimates for the integral moduli of continuity of the derivatives of generalized solutions of the equation. The constant in these estimates does not depend on p. (author). 14 refs