Discontinuous oblique derivative problems for second order quasi-linear mixed equations in general domains

摘要

This paper, we discuss the discontinuous oblique derivative problems for quasi-linear mixed (elliptic–hyperbolic) type equations of second order in a more general domain by using the method of Wen's in recently and make a deformation such that the boundary curve of hyperbolic domain be transformed into the segment and then, a series of solvability results in a more general domain are obtained, in which are the generalization of results we known.