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Matematicheskie Zametki, 2023, Volume 114, Issue 2, Pages 282–296
DOI: https://doi.org/10.4213/mzm13768 (Mi mzm13768) 		 
Symmetrization and Integral Inequalities

V. S. Klimov

P.G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.4213/mzm13768
Abstract: Steiner symmetrizations of anisotropic integral functionals of multivariate calculus of variations defined on the set of compactly supported functions in the Sobolev class are studied. Applications of the results to embedding theorems for anisotropic Orlicz–Sobolev spaces are outlined, and lower bounds for the values of multidimensional variational problems are found.
Keywords: symmetrization, function, space, inequality, integral, gradient.
Received: 19.10.2022
Revised: 22.02.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 2, Pages 230–241
DOI: https://doi.org/10.1134/S0001434623070246
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. S. Klimov, “Symmetrization and Integral Inequalities”, Mat. Zametki, 114:2 (2023), 282–296; Math. Notes, 114:2 (2023), 230–241
Citation in format AMSBIB
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\by V.~S.~Klimov
\paper Symmetrization and Integral Inequalities
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 2
\pages 282--296
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\crossref{https://doi.org/10.4213/mzm13768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=784374}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 2
\pages 230--241
\crossref{https://doi.org/10.1134/S0001434623070246}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168613999}
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