Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space

DOI10.3934/CPAA.2015.14.2335zbMath1326.35125OpenAlexW2524692584MaRDI QIDQ746504

Chenchen Mou

Publication date: 16 October 2015

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

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.2335

zbMATH Keywords

regularityintegral equationLiouville type theoremmethod of moving planesunit ballnonlinear elliptic systemradial symmetryfractional Laplacianhalf space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Green's functions for elliptic equations (35J08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

On critical systems involving fractional Laplacian ⋮ Analysis and approximation of a nonlocal obstacle problem ⋮ Liouville theorem for Hénon-Hardy systems in the unit ball ⋮ Symmetry of solutions for a fractional system ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ A Liouville theorem for a class of fractional systems in \(\mathbb{R}_+^n\) ⋮ Positive least energy solutions for \(k\)-coupled critical systems involving fractional Laplacian

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