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一类二阶椭圆型方程组非线性边值问题N按Hausdorff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N按Hausdorff的可解性[J]. 复旦学报(自然科学版), 1990, 29(3): 297-305
作者姓名:李明忠
作者单位:复旦大学数学系
摘    要:

关 键 词:边值问题 连续性方法 先验估计

HAUSDORFF SOLVABILITY OF NON-LINEAR BOUNDARY VALUE PROBLEM N FOR A CLASS OF SECOND ORDER ELLIPTIC SYSTEMS
Li Mingzhong,. HAUSDORFF SOLVABILITY OF NON-LINEAR BOUNDARY VALUE PROBLEM N FOR A CLASS OF SECOND ORDER ELLIPTIC SYSTEMS[J]. Journal of Fudan University(Natural Science), 1990, 29(3): 297-305
Authors:Li Mingzhong  
Affiliation:Department of Mathematics
Abstract:In this paper the nonlinear boundary value problem. N for a class of second or-der elliptic systems is discussed. Based on prior estimate for the linear case, usingthe Newton method and the continuity method, the sufficient and necessary condi-tions for the solvability of the problem N and the expression of the generalizedsolutions are obtained. It is shown that the problem N is of Hausdorff type.
Keywords:nonlinear boundary value problem  continuity method  prior estimation.
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