Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (4): 1112-1121.

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Existence Results for von Kármán Equations Modeling Suspension Bridges

Yongda Wang()   

  1. College of Mathematics and Information Science, Hebei University, Hebei Baoding 071002
  • Received:2021-03-22 Online:2022-08-26 Published:2022-08-08
  • Supported by:
    the NSF of Hebei Province(A2019201106);the Advanced Talents Incubation Program of Hebei University(521000981097);the NSFC(11771115)

Abstract:

A nonlinear von Kármán equation with partial free boundary is considered. The equation is viewed as a mathematical model for suspension bridges with large deformation. The buckling loads, which carry a nonlocal effect into the model, are introduced. Uniqueness and multiplicity results are obtained by analyzing the critical points of the energy functionals.

Key words: von Kármán equation, Suspension bridge, Free boundary, Buckling loads

CLC Number: 

  • O174.56
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