Volume 9, Number 4, 2019, Pages 1443-1453 DOI:10.11948/2156-907X.20180276 |
Iterative method for a class of fourth-order p-Laplacian beam equation |
Zhanbing Bai,Zengji Du,Shuo Zhang |
Keywords:Fourth-order p-Laplacian, uniqueness, iterative method. |
Abstract: |
This paper considers the existence of the solutions for a class of fourth-order $p$-Laplacian. The boundary value problem considered can describe the tiny deformation of an elastic beam. By using a novel efficient iteration method, the existence and uniqueness result of solution for the problem is obtained. An example is given to illustrate the main results. |
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