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Positive solutions of four-point boundary value problems for higher-order p-Laplacian operator
Authors:Hua Su  Baohe Wang  Zhongli Wei  Xiaoyan Zhang
Institution:aSchool of Mathematics and System Sciences, Shandong University, Jinan Shandong 250100, China;bDepartment of Mathematics, Qufu Normal University, Qufu 273165, China;cShandong Administration Institute, Jinan Shandong 250014, China
Abstract:In this paper, we study the existence of positive solutions for the nonlinear four-point singular boundary value problem for higher-order with p-Laplacian operator. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear singular boundary value problem with p-Laplacian operator are obtained.
Keywords:Higher-order p-Laplacian operator  Four-point singular boundary value problem  Positive solutions  Fixed-point index theory
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