Existence of solutions to nonlinear Neumann boundary value problems with <Emphasis Type="Italic">p</Emphasis>-Laplacian operator and iterative construction期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence of solutions to nonlinear Neumann boundary value problems with p-Laplacian operator and iterative construction

Authors:	Wei Li Hai-yun Zhou Ravi P. Agarwal

Affiliation:	Li Wei 1,Hai-yun Zhou 2,Ravi P. Agarwal 3 1 School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China2 Institute of Applied Mathematics,Ordnance Engineering College,Shijiazhuang 050003,China 3 Department of Mathematical Sciences,Florida Institute of Technology,Melbourne,FL 32901,U.S.A.

Abstract:	By using some results of pseudo-monotone operator, we discuss the existence and uniqueness of the solution of one kind nonlinear Neumann boundary value problems involving the p-Laplacian operator. We also construct an iterative scheme converging strongly to this solution.

Keywords:	maximal monotone operator pseudo-monotone operator p-Laplacian operator iterative scheme
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