On the Existence of Solutions to the Generalized Marguerre-von Kármán Equations

@inproceedings{Ciarlet2006OnTE,
  title={On the Existence of Solutions to the Generalized Marguerre-von K{\'a}rm{\'a}n Equations},
  author={Philippe G. Ciarlet and Liliana Gratie},
  year={2006}
}
Using techniques from asymptotic analysis, the second author has recently identified equations that generalize the classical Marguerre-von Kármán equations for a nonlinearly elastic shallow shell by allowing more realistic boundary conditions, which may change their type along the lateral face of the shell. We first reduce these more general equations to a single “cubic” operator equation, whose sole unknown is the vertical displacement of the shell. This equation generalizes a cubic operator… CONTINUE READING

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