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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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