Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians

DOI10.2140/pjm.2018.295.367zbMath1391.35390OpenAlexW2801994940WikidataQ129944667 ScholiaQ129944667MaRDI QIDQ1744256

Wei Dai, Guolin Qin

Publication date: 23 April 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.295.367

zbMATH Keywords

equivalenceuniquenessodd orderradial symmetryfractional Laplacianspositive smooth solutions

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Classification of nonnegative classical solutions to third-order equations ⋮ Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\) ⋮ Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators ⋮ Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

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