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Articles

On monotonicity of some functionals with variable exponent under symmetrization

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Pages 362-373 | Received 25 Nov 2017, Accepted 02 Feb 2018, Published online: 11 Feb 2018
 

ABSTRACT

We give necessary and sufficient conditions for the Pólya–Szegö-type inequality with variable exponent of summability.

AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

We are grateful to M. Surnachev for simplification of the proof of Theorem 3.3 and to an anonymous referee for important advices.

Notes

No potential conflict of interest was reported by the authors.

To the memory of V.V. Zhikov.

Additional information

Funding

The paper is supported by RFBR [grant number 18-01-00472].

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