*Published Paper*

**Inserted:** 25 jan 2009

**Last Updated:** 14 oct 2011

**Journal:** J. Differential Equations

**Volume:** 252

**Pages:** 35-55

**Year:** 2012

**Abstract:**

The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness $h$ of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional ${\mathcal E}^h$, whose energies (per unit thickness) are bounded by $Ch^4$, converge to critical points of the Gamma-limit of $h^{-4}{\mathcal E}^h$. This is proved under the physical assumption that the energy density $W(F)$ blows up as the determinant of F tends to zero.

**Keywords:**
nonlinear elasticity, equilibrium configurations, stationary points, plate theories, von Kármán equations

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