HOELDER CONTINUITY OF SOLUTIONS OF NONDIVERGENT DEGENERATE SECOND-ORDER ELLIPTIC EQUATIONS

摘要

One considers a degenerate nondivergent second-order linear elliptic equation. In the model case, the matrix of its higher-order coefficients is diagonal and its elements are powers of the moduli of the independent variables. A sufficient condition on the power exponents is obtained which ensures interior a priori Hoelder estimates of the solutions.