摘要
本文建立了一类二阶椭圆型方程组非线性边值问题D的广义解表示式,并应用连续性方法、牛顿方法和先验估计,得到了问题D可解的充分必要条件,且解依赖于一个任意全纯函数。
By using Newton's method and successive approximations and conlinuity me-thod, an explicit form of the solution is obtained and a priori estimate is establis-hed. Then it is proved that the nonlinea boundary value problem D is of Hausdorfftype. Necessary and sufficient conditions for the solvabilitg are also obtained and thesolution depends on an arbitravy holomorphic function.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1989年第2期227-238,共12页
Journal of Fudan University：Natural Science
关键词
二阶椭圆方程
非线性
边值问题
ninline boundary value problem
continuity method
a priori estimation.
