An optimal summation interval and nonexistence of positive solutions to a discrete system

DOI10.1016/S0252-9602(14)60117-XzbMath1340.45005OpenAlexW1991761673MaRDI QIDQ746711

Xiaoli Chen, Xiongjun Zheng

Publication date: 28 October 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(14)60117-x

zbMATH Keywords

nonexistencepositive solutionsdiscrete systemweighted Hardy-Littlewood-Sobolev inequalityEuler-Lagrange systemoptimal summation interval

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items (3)

Critical conditions and asymptotics for discrete systems of the Hardy-Littlewood-Sobolev type ⋮ Existence of the maximizing pair for the discrete Hardy-Littlewood-Sobolev inequality ⋮ The existence of extremal functions for discrete Sobolev inequalities on lattice graphs

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