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arxiv: 1711.05841 · v1 · pith:Q3MPO4SSnew · submitted 2017-11-15 · 🧮 math.OC · math.AP

On monotonicity of some functionals with variable exponent under symmetrization

classification 🧮 math.OC math.AP
keywords exponentvariableconditionsfunctionalsgiveinequalitymonotonicitynecessary
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We give necessary and sufficient conditions for the P\'olya--Szeg\"o type inequality with variable exponent of summability.

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