一般形式的一阶椭圆方程组的一类非线性边值问题(英文)

A class of nonlinear boundary value problems for the first order elliptic systems with general form

讨论了一般形式的一阶椭圆方程组的一类非线性边值问题 ,并通过建立等价的非线性奇异积分方程和积分计算 ,运用函数理论方法和不动点原理证明了该问题的可解性 .

This paper discusses a class of nonlinear problems for the first order elliptic equations with general form,by means of establishing the equivalent nonlinear singular integral equation and a serial of integral computation, function theoretic approaches and fixed point theorem, it is proved that the problem is solvable.