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对一类非线性Neumann边值问题的研究(英文) 被引量:5

Studyon a Kind of Nonlinear Neumann Boundary Value Problems
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摘要 利用H-增生映射的性质,得到一类非线性Neumann边值问题解的存在唯一性的结论.文中所研究的方程是对以往工作的推广.证明方法得到简化.文中列举的一些例子还有助于进一步了解H-增生映射. By using the properties of H-accretive mappings, we obtain the existence of the unique solution of a kind of nonlinear Neumann boundary value problems. The equation discussed in this paper generalizes some of the previous work. The proof techniques is simplified compared to the cor- responding discussions. Some examples are demonstrated,which can help us to have a better under- standing of H-accretive mappings.
作者 魏利 刘元星
出处 《应用数学》 CSCD 北大核心 2015年第1期99-109,共11页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11071053) the Natural Science Foundation of Hebei Province(A2014207010) the Key Project of Science and Research of Hebei Educational Department(ZH2012080) the Key Project of Science and Research of Hebei University of Economics and Business(2013KYZ01)
关键词 H-增生映射 hemi连续映射 CARATHEODORY条件 非线性方程 NEUMANN边值 H -accretive mapping Hemi-continuous mapping Carath6odory's condi-tion Nonlinear equation Neumann boundary value
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  • 1CHEN Zuchi,LUO Tao.The eigenvalue problem for p-Laplacian-Iike equations[J],ACTA Math.Sinica,2003,46(4):631-638.
  • 2Ubilla P.Multiplicity results for the 1-dimensional generalized p-Laplacian[J].Math.Anal.Appl.,1995,190(2):611-623.
  • 3WEI Li,Agarwal Ravi P.Existence of solutions to nonlinear neumann boundary value problems with generalized p-Laplacian operator[J].Computers and Mathematics with Applications,2008?56(2):530-541.
  • 4Calvert B D,Gupta C P.Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators[J].Nonlinear Analysis,1978,2:1-26.
  • 5Pascali DiSburlan S.Nonlinear Mappings of Monotone Type[M],Netherlands:Sijthoff,Noordhoff,1978.
  • 6FANG Yaping,HUANG Nanjing.H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces[J].Applied Math.Letters,2004,17:647-653,.
  • 7LI Likang,GUO Yutao.The Theory of Sobolev Space(in Chinese)[M].Shanghai:Shanghai Science and Technology Press,1981.
  • 8Zeidler E.Nonlinear Functional Analysis and its Applications(11)[M].Berlin:Springer-Verlag,1992.
  • 9WEI Li,HE Zhen.The applications of theories of accretive operators to nonlinear elliptic boundary value problems in Lp-spaces[J].Nonlinear Analysis,2001,46:199-211.
  • 10WEI Li,DUAN Liling,ZHOU Haiyun.Solution of nonlinear elliptic boundary value problems and its iterative construction[J].Abstract and Applied Analysis,Volume 2012, Article ID 210325,2012,14.

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