Preprint 84/2000

On critical points of functionals with polyconvex integrands

Ali Taheri

Contact the author: Please use for correspondence this email.
Submission date: 08. Jan. 2001
Pages: 22
published in: Journal of convex analysis, 9 (2002) 1, p. 55-72 
Download full preprint: PDF (368 kB), PS ziped (146 kB)

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.

21.02.2013, 01:40