%0 Journal Article
%T Discussion on the Existence of Solution to Nonlinear Boundary Value Problem with Generalized p-Laplacian Operator<br>含有广义p-Laplace算子的非线性边值问题解的存在性的研究
%A 魏利
%A Ravi P Agarwal
%J 数学物理学报(A辑)
%D 2012
%I 
%X Two kinds of nonlinear boundary value problems with generalized p-Laplacian operator are studied in this paper. By using a result on the existence of solutions for variational inequalities, the result on the existence of solution of the nonlinear Dirichlet boundary value problem with generalized p-Laplacian operator is proved. Later, a kind of nonlinear Neumann boundary value problem with generalized p-Laplacian operator is presented. By digging deeply into the relationship between the above two kinds of nonlinear boundary value problems and by using a perturbation resulton the ranges of maximal monotone operators, an abstractresult for the existence of solution of the nonlinear Neumann boundary value problem with generalized p-Laplacianoperatoris obtained. In this paper, somenew prooftechniques areemployed, which extend and complement some of the previous research work.
%K Maximal monotone operatorzz
%K Hemi-continuousmappingzz
%K Generalized p-Laplacian operatorzz
%K Sum of rangeszz
%K Nonlinear Dirichlet (Neumann) boundary value problemzz<br>极大单调算子
%K hemi连续映射
%K 广义p-Laplace算子
%K 值域和
%K 非线性Dirichlet
%K 或Neumann
%K 边值问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F07121C4B9722AD0C2&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=BC084ACE66B62CC8&eid=CC0ECB9C52F1B85F&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0