Positive solutions to nonlinear systems involving fully nonlinear fractional operators

DOI10.1515/fca-2018-0030zbMath1439.35543OpenAlexW2808114128MaRDI QIDQ1799755

Xiaoxue Ji, Leyun Wu, Peng Cheng Niu

Publication date: 19 October 2018

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2018-0030

zbMATH Keywords

nonexistenceradial symmetrynarrow region principledecay at infinitynonlinear fractional systemdirect method of moving planesfully nonlinear fractional operator

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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Non-existence for a semi-linear fractional system with Sobolev exponents via direct method of moving spheres ⋮ Ancient solutions to nonlocal parabolic equations ⋮ Liouville's theorem for a fractional elliptic system ⋮ Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations ⋮ Symmetric properties of positive solutions for fully nonlinear nonlocal system ⋮ Sliding methods for the higher order fractional Laplacians ⋮ Symmetry and monotonicity of solutions for the fully nonlinear nonlocal equation ⋮ Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators ⋮ Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian ⋮ The sliding method for fractional Laplacian systems

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