Rearrangement inequalities in the discrete setting and some applications

DOI10.1016/j.na.2009.07.054zbMath1200.26025OpenAlexW2070962560MaRDI QIDQ2653937

Hichem Hajaiej

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.054

zbMATH Keywords

rearrangement inequalityHardy-Littlewood inequalityPólya-Szegő inequalityRiesz inequalitydiscrete rearrangement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Circular rearrangement inequality ⋮ Ground states in spatially discrete non-linear Schrödinger models

Cites Work

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• The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube
• An approach to symmetrization via polarization
• A mountain pass method for the numerical solution of semilinear elliptic problems
• Cases of equality and strict inequality in the extended Hardy–Littlewood inequalities
• Generalized conditional symmetries of nonlinear differential-difference equations

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