Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems |
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Authors: | Peidong Lei Xiaoning Lin Daqing Jiang |
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Institution: | 1. School of Mathematics & Statistics, Northeast Normal University, Changchun 130024, China;2. School of Business, Northeast Normal University, Changchun 130024, China |
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Abstract: | In this paper we establish the existence and the uniqueness of positive solutions for Dirichlet boundary value problems of nonlinear elliptic equations with singularity. We obtain the existence and the uniqueness by using the mixed monotone method in the cone theory. Moreover, we give an iterative method of constructing the solution. The rate of convergence of the iterative sequence is analyzed. |
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Keywords: | 35J60 35J65 |
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