Extended Hardy-Littlewood inequalities and some applications

DOI10.1090/S0002-9947-05-03887-0zbMath1071.26014OpenAlexW2088483029MaRDI QIDQ5313314

Hichem Hajaiej

Publication date: 29 August 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03887-0

zbMATH Keywords

regularityLagrange multiplierSchwarz symmetrizationHardy-Littlewood inequalitieselliptic eigenvalue system

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inequalities for sums, series and integrals (26D15)

Related Items (5)

Weighted Hardy-Littlewood-Sobolev-type inequality for \(\psi\)-Riemann-Liouville fractional integrals ⋮ Interaction functional with nonlinear diffusion and exogenous potential ⋮ Orbital stability of standing waves of two-component Bose-Einstein condensates with internal atomic Josephson junction ⋮ Rearrangement inequalities for functionals with monotone integrands ⋮ Uniqueness and Characterization of the Maximizers of Integral Functionals With Constraints

Cites Work

• Unnamed Item
• Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
• Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems
• Cases of equality and strict inequality in the extended Hardy–Littlewood inequalities

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