Sharp existence criteria for positive solutions of Hardy-Sobolev type systems

DOI10.3934/cpaa.2015.14.493zbMath1312.35034arXiv1401.5454OpenAlexW3104649124MaRDI QIDQ2018442

John Villavert

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5454

zbMATH Keywords

fractional integralsLane-Emden equationsHardy-Littlewood-Sobolev inequalityHardy-Sobolev inequalityRiesz potentialsPohozaev type identitiespoly-harmonic equations

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Singular nonlinear integral equations (45G05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Higher-order elliptic systems (35J48)

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