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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.

Received:
Jan 8, 2001
Published:
Jan 8, 2001

Related publications

inJournal
2002 Repository Open Access
Ali Taheri

On critical points of functionals with polyconvex integrands

In: Journal of convex analysis, 9 (2002) 1, pp. 55-72