Existence and uniqueness of maximizers of a class of functionals under constraints: optimal conditions

DOI10.1186/1029-242X-2012-151zbMath1276.49009OpenAlexW2108358146WikidataQ59289217 ScholiaQ59289217MaRDI QIDQ379105

Hichem Hajaiej

Publication date: 8 November 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-151

zbMATH Keywords

ballsHardy-Littlewood type functionalsmaximizersRiesz-type functionals

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49J99)

Cites Work

• Balls are maximizers of the Riesz-type functionals with supermodular integrands
• Rearrangement inequalities for functionals with monotone integrands
• Polar factorization and monotone rearrangement of vector‐valued functions
• Vortex-rings of prescribed impulse

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