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On monotonicity of some functionals under monotone rearrangement with respect to one variable

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Publication:2404990
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DOI10.1007/s10958-017-3423-3OpenAlexW2624604011MaRDI QIDQ2404990

Sergeĭ V. Bankevich

Publication date: 21 September 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3423-3



Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Existence theories for free problems in two or more independent variables (49J10)




Cites Work

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  • A generalization of the Pólya-Szegő inequality for one-dimensional functionals
  • Rearrangements and convexity of level sets in PDE
  • Weighted Dirichlet-type inequalities for Steiner symmetrization
  • On monotonicity of some functionals under rearrangements
  • Some remarks on rearrangements and functionals with non‐constant density


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