二阶非线性椭圆型方程的斜微商边值问题

Oblique Derivative Boundary Value Problems for NonlinearEliptic Complex Equations of Second Order

研究二阶非线性椭圆型复方程的非正则斜微商边值问题解的存在性及可解条件．首先提出相应的变态问题，对其解进行先验估计，利用积分算子理论、不动点理论、参数逼近法等证明了解的存在性，然后得出原问题解的存在性和可解条件．

Deal with oblique derivative boundary value problem for some nonlinear elliptic equations of second order,discuss the solvable and uniquence of the solution.First we give a priori estimates of the solutions for the oblique derivative problem,then set operators,use the theory of integral operator and fixed point theory,proved that the existence and uniquence and give the solvability condition.