Liouville type theorems for poly-harmonic Navier problems

DOI10.3934/DCDS.2013.33.3937zbMath1279.35025OpenAlexW2070347609MaRDI QIDQ379545

Wenxiong Chen, Linfen Cao

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.3937

zbMATH Keywords

equivalencenon-existence of solutionsmethod of moving planes in integral formsLiouville-type theoremNavier boundary conditionssystems of integral equationshalf spacesKelvin transformspoly-harmonic equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Boundary value problems for higher-order elliptic equations (35J40) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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