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.
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Supported by the National Natural Science Foundation of China (No. 11071053), the Natural Science Foundation of Hebei Province (No.A2010001482), and the project of Science and Research of Hebei Education Department (the second round in 2010).
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Li, W., Zhou, Hy. & Agarwal, R.P. Existence of solutions to nonlinear Neumann boundary value problems with p-Laplacian operator and iterative construction. Acta Math. Appl. Sin. Engl. Ser. 27, 463–470 (2011). https://doi.org/10.1007/s10255-011-0084-8
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DOI: https://doi.org/10.1007/s10255-011-0084-8