Equilibrium and Euler-Lagrange equation for hyperelastic materials

Elvira Zappale
Universidade de Salerno

Abstract: By means of duality we prove existence and uniqueness of equilibrium for energies described by integral functionals which fail to be convex. This analysis is motivated by some physical models of elastic materials (cf. for istance [2, 4]) and the techniques generalize the methods first introduced in [5, 1]. A suitable Euler Lagrange equation characterizing the minimizers is derived.

Joint work with G. Carita and G. Pisante