Liouville-type theorem for some nonlinear systems in a half-space

DOI10.1186/1029-242X-2014-173zbMath1332.35056WikidataQ59323688 ScholiaQ59323688MaRDI QIDQ2258688

Zhaohui Dai, Linfen Cao, Wenyan Li

Publication date: 26 February 2015

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

zbMATH Keywords

monotonicityLiouville-type theoremsystems of integral equationsHLS inequalitymoving planes method in integral forms

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Systems of nonlinear integral equations (45G15) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• A Liouville-type theorem for an integral system on a half-space \(R_+^n\)
• A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\)
• An integral system and the Lane-Emden conjecture
• Super polyharmonic property of solutions for PDE systems and its applications

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