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一类二阶椭圆型方程组非线性边值问题D按Hausdorff意义的可解性
引用本文:李明忠. 一类二阶椭圆型方程组非线性边值问题D按Hausdorff意义的可解性[J]. 复旦学报(自然科学版), 1989, 28(2): 227-238
作者姓名:李明忠
作者单位:复旦大学数学系
摘    要:

关 键 词:二阶椭圆方程 非线性 边值问题

HAUSDORFF SOLVABILITY OF NONLINEAR BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND ORDER ELLIPTIC SYSTEM
Li Mingzhong,. HAUSDORFF SOLVABILITY OF NONLINEAR BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND ORDER ELLIPTIC SYSTEM[J]. Journal of Fudan University(Natural Science), 1989, 28(2): 227-238
Authors:Li Mingzhong  
Affiliation:Department of Mathematics
Abstract: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.
Keywords:ninline boundary value problem  continuity method  a priori estimation.
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