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Contemporary Mathematics. Fundamental Directions, 2013, Volume 49, Pages 99–131 (Mi cmfd248)  
This article is cited in 12 scientific papers (total in 12 papers)

Compact subdifferentials in Banach spaces and their applications to variational functionals

I. V. Orlov, Z. I. Khalilova

Vernadskii Tavria National University, Simferopol, Ukraine
Full-text PDF (343 kB) Citations (12)
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Abstract: We develop a theory of sublinear operators with compact values. Then, based on this theory, we construct a theory of first-order compact subdifferentials for maps in Banach spaces. The results are applicable to the calculation of compact subdifferentials of variational functionals with nonsmooth Lagrangians.
English version:
Journal of Mathematical Sciences, 2015, Volume 211, Issue 4, Pages 542–578
DOI: https://doi.org/10.1007/s10958-015-2617-9
Bibliographic databases:
Document Type: Article
UDC: 517.972+517.982.22
Language: Russian
Citation: I. V. Orlov, Z. I. Khalilova, “Compact subdifferentials in Banach spaces and their applications to variational functionals”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 49, PFUR, M., 2013, 99–131; Journal of Mathematical Sciences, 211:4 (2015), 542–578
Citation in format AMSBIB
\Bibitem{OrlKha13}
\by I.~V.~Orlov, Z.~I.~Khalilova
\paper Compact subdifferentials in Banach spaces and their applications to variational functionals
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2013
\vol 49
\pages 99--131
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd248}
\transl
\jour Journal of Mathematical Sciences
\yr 2015
\vol 211
\issue 4
\pages 542--578
\crossref{https://doi.org/10.1007/s10958-015-2617-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84946496291}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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