ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER P-LAPLACIAN BEAM EQUATION
Zhanbing Bai, Zengji Du, Shuo Zhang · Journal of Applied Analysis & Computation · 2019
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.