Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian

DOI10.1016/j.na.2018.10.006zbMath1414.35015OpenAlexW2900568764MaRDI QIDQ2633311

Hui Yang, Wen Ming Zou

Publication date: 8 May 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.10.006

zbMATH Keywords

Bose-Einstein condensationnonlinear elliptic systemsuniqueness of positive solutionsfractional Schrödinger-type systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (8)

Classification of stable solutions to a fractional singular elliptic equation with weight ⋮ On positive supersolutions of fractional elliptic equations with gradient terms ⋮ Liouville‐type theorems for a nonlinear fractional Choquard equation ⋮ Liouville type theorems for fractional parabolic problems ⋮ Symmetry of positive solutions to the coupled fractional system with isolated singularities ⋮ Liouville type theorems for some fractional elliptic problems ⋮ Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system ⋮ A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity

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