THE MIXED BOUNDARY VALUE PROBLEM FOR NONLINEAR NONDIVERGENCE ELLIPTIC SYSTEMS OF SECOND ORDER EQUATIONS WITH MEASURABLE COEFFICIENTS IN HIGHER DIMENSIONAL DOMAINS

Abstract:

In ¹, H.O. Cordes mainly gave some a priori estimates of classical solutions of the Dirichlet problem for quasilinear elliptic equations of second order

In ², Yu.A. Alkhutov and I.T. Mamedov discussed the solvability of Dirichlet problem for linear nondivergence uniformly parabolic equations with measurable coefficients: where the coefficients satisfy the conditions: In this paper, we try to discuss the solvability of mixed boundary value problem for nondivergence uniformly elliptic systems of second order equations with measurable coefficients in higher dimensional domains.