TITLE

Direct approach to the problem of strong local minima in calculus of variations

AUTHOR(S)
Grabovsky, Yury; Mengesha, Tadele
PUB. DATE
May 2007
SOURCE
Calculus of Variations & Partial Differential Equations;May2007, Vol. 29 Issue 1, p59
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The paper introduces a general strategy for identifying strong local minimizers of variational functionals. It is based on the idea that any variation of the integral functional can be evaluated directly in terms of the appropriate parameterized measures. We demonstrate our approach on a problem of W 1,8 sequential weak-* local minima � a slight weakening of the classical notion of strong local minima. We obtain the first quasiconvexity-based set of sufficient conditions for W 1,8 sequential weak-* local minima.
ACCESSION #
24152095

 

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