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Local minimizers versus X-local minimizers

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Abstract

An important property known, among other cases, for W 1,p(Ω) versus \({C^1(\overline{\Omega})}\)-local minimizers of certain functions is extended to the general situation of local minimizers of a functional I on a Banach space Y versus X-local minimizers of I provided X is a Banach space continuously and densely embedded in Y.

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Authors and Affiliations

  1. School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY, USA

    Akhtar A. Khan

  2. Département de Mathématiques, Université de Perpignan, 66860, Perpignan, France

    Dumitru Motreanu

Authors
  1. Akhtar A. Khan
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  2. Dumitru Motreanu
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Correspondence to Akhtar A. Khan.

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Khan, A.A., Motreanu, D. Local minimizers versus X-local minimizers. Optim Lett 7, 1027–1033 (2013). https://doi.org/10.1007/s11590-012-0474-8

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  • DOI: https://doi.org/10.1007/s11590-012-0474-8

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