Liouville's theorem for a fractional elliptic system
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Publication:1725811
DOI10.3934/dcds.2019067zbMath1407.35040OpenAlexW2904164350MaRDI QIDQ1725811
Publication date: 15 February 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019067
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) 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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A priori bounds and the existence of positive solutions for weighted fractional systems ⋮ Liouville type theorem for fractional Laplacian system ⋮ Classification and qualitative analysis of positive solutions of the nonlinear Hartree type system ⋮ A Liouville's theorem for a fractional elliptic system with indefinite nonlinearities
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