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Direct approach to the problem of strong local minima in calculus of variations
Grabovsky, Y Mengesha, T
Grabovsky, Y
Mengesha, T
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Journal Article
Date
2007-01-01
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10.1007/s00526-006-0056-7
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,∞ 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,∞ sequential weak-*local minima. © Springer-Verlag 2007.
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Springer Science and Business Media LLC
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Calculus of Variations and Partial Differential Equations
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