Abstract: The present work deals with oblique derivative problems for second order quasilinear elliptic equations with parabolic degeneracy.Firstly the formulation of the problems and estimates of solutions of the problems for the equations are given, and then the uniqueness and existence of solutions for the above problems are proved by the complex analytic method.

Key words: Oblique derivative problems, degenerate elliptic equations

摘要： 讨论了二阶拟线性退化椭圆型方程的斜微商问题。先给出这个问题的提法和解的估计，然后使用复分析方法，证明了此问题解的存在性和唯一性。

关键词: 斜微商问题, 退化椭圆型方程