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

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    Genre
    Journal Article
    Date
    2007-01-01
    Author
    Grabovsky, Y
    Mengesha, T
    Subject
    math.AP
    math.AP
    math.OC
    49K10
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/6106
    
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    DOI
    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.
    Citation to related work
    Springer Science and Business Media LLC
    Has part
    Calculus of Variations and Partial Differential Equations
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    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/6088
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