| Existence of Solutions for Nonlinear Neumann Boundary Value Problems |
| Received:December 12, 2007 Revised:April 16, 2008 |
| Key Words:
maximal monotone operator accretive mapping hemi--continuous mapping.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10771050) and the Project of Science and Research of Hebei Education Department (Grant No.2009115). |
| Author Name | Affiliation | | Li WEI | School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, P. R. China | | Hai Yun ZHOU | Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Hebei 050003, P. R. China | | Ravi P. AGARWAL | Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U. S. A |
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| Abstract: |
| Using perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present the abstract results on the existence of solutions of one kind nonlinear Neumann boundary value problems related to $p$-Laplacian operator. The equation discussed in this paper and the method used here extend and complement some of the previous work. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.01.009 |
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