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Existence and iteration of monotone positive solutions for an elastic beam equation with a corner. (English) Zbl 1163.74478

Summary: This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with a corner. The boundary conditions mean that the beam is embedded at one end and fastened with a sliding clamp at the other end. By applying monotone iterative techniques, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.

MSC:

74B20 Nonlinear elasticity
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