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MiS Preprint
84/2000
On critical points of functionals with polyconvex integrands
Ali Taheri
Abstract
We study implications of a function being a critical point of an integral functional with a polyconvex integrand. When the integrand depends on the spatial variable as well, we construct a counterexample establishing that the positivity of the second variation is not sufficient for a smooth critical point to be a strong local minimizer.