| 利用增生算子理论研究一类椭圆边值问题解的存在性 |
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| 引用本文： | 魏利,NAN Shu-qin,LIU Yuan-xing.利用增生算子理论研究一类椭圆边值问题解的存在性[J].河北大学学报(自然科学版),2001,21(1):9. |
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| 作者姓名： | 魏利 NAN Shu-qin LIU Yuan-xing |
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| 作者单位： | 1.河北经贸大学 基础部； 2.Department of Basic,Hebei University of Economy and Trade |
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| 基金项目： | TheprojectsupportedbyNaturalScienceFoundationofHebeiProvince(1970 6 1) |
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| 摘 要： | 利用Calvert和Gupta关于非线性增生算子值域的扰动结果，研究了当2≤p<+∞时，一类非线性黎曼边值问题在Lp(Ω)空间中解的存在的充分 条件 .所讨论的方程与Gupta-Hess相比更一般化，而且把解的存在性的研究由L2(Ω)空间 推广到LP(Ω)(2≤p<+∞)空间中.
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| 关 键 词： | 单调算子 增生映射 demi连续映射 |
Research on a Solution of Elliptic Boundary Value Problems by Using Theories of Accretive Operators |
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| WEI Li,NAN Shu-qin,LIU Yuan-xing.Research on a Solution of Elliptic Boundary Value Problems by Using Theories of Accretive Operators[J].Journal of Hebei University (Natural Science Edition),2001,21(1):9. |
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| Authors: | WEI Li NAN Shu-qin LIU Yuan-xing |
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| Abstract: | By using the perturbation results on sums of ranges of nonlinear accretive operators of Calvert-Gupta,the authors study the suff icient condition of the existence of the solution of one kinds of nonlinear Neum ann boundary value problem in Lp(Ω)(2≤p<+∞).The equation discussed is more general than that of Gupta-Hess and the equation is discussed in more general space Lp(Ω)(2≤p<+∞)instead of L2(Ω). |
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| Keywords: | monotone operator accretive mapping demi-continuous mapping |
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