Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn
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Publication:5860808
DOI10.1080/17476933.2020.1783661zbMath1483.35325OpenAlexW3048289161MaRDI QIDQ5860808
Publication date: 23 November 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2020.1783661
nonnegative solutionsfractional Laplacianssuper poly-harmonic propertiesmethod of scaling spheresHénon-Hardy systemshigher-order Laplacians
Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (9)
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system ⋮ Liouville theorem for Hénon-Hardy systems in the unit ball ⋮ A nonexistence result for the Choquard-type Hamiltonian system ⋮ Liouville-type theorems for fractional Hardy-Hénon systems ⋮ A note on positive supersolutions of the fractional Lane-Emden system ⋮ A direct method of moving planes for fully nonlinear nonlocal operators and applications ⋮ Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts ⋮ Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system ⋮ Classification of nonnegative solutions to Schrödinger equation with logarithmic nonlinearity
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