Abstract:
Analogues of the Pólya–Szégö inequality with variable exponent in the integrand are considered. Necessary and sufficient conditions for the fulfillment of these inequalities are obtained.
Citation:
S. V. Bankevich, “On the Pólya–Szégö Inequality for Functionals with Variable Exponent”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 56–60; Funct. Anal. Appl., 52:1 (2018), 45–48
\Bibitem{Ban18}
\by S.~V.~Bankevich
\paper On the P\'olya--Sz\'eg\"o Inequality for Functionals with Variable Exponent
\jour Funktsional. Anal. i Prilozhen.
\yr 2018
\vol 52
\issue 1
\pages 56--60
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\crossref{https://doi.org/10.4213/faa3523}
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\transl
\jour Funct. Anal. Appl.
\yr 2018
\vol 52
\issue 1
\pages 45--48
\crossref{https://doi.org/10.1007/s10688-018-0205-8}
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Linking options:
https://www.mathnet.ru/eng/faa3523
https://doi.org/10.4213/faa3523
https://www.mathnet.ru/eng/faa/v52/i1/p56
This publication is cited in the following 2 articles:
D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Uraltseva, “A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I”, Vestnik St.Petersb. Univ.Math., 57:1 (2024), 1
S. V. Bankevich, A. I. Nazarov, “On monotonicity of some functionals with variable exponent under symmetrization”, Appl. Anal., 98:1-2, SI (2019), 362–373
Citation in format AMSBIB
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