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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.