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Liouville‐type theorems for a nonlinear fractional Choquard equation

Mathematische Nachrichten, 2023
AbstractIn this paper, we are concerned with the fractional Choquard equation on the whole space with , and . We first prove that the equation does not possess any positive solution for . When , we establish a Liouville type theorem saying that if then the equation has no positive stable solution.
Anh Tuan Duong   +3 more
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Liouville type theorems for the system of integral equations

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Liouville type theorems for Schrödinger systems

Science China Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuo, Ran, Li, FengQuan
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ON CERTAIN LIOUVILLE-TYPE THEOREMS OF NEHARI, GOYAL AND SCHAEFER

Analysis, 1986
Simple conditions on p and f are given which ensure that the only bounded solution of (sgn u)\(\Delta\) \(u\geq p(x)f(u)\) is \(u=0\). The result sharpens both theorems referred to in the title, and can be generalized with ease.
Redheffer, Ray, Schaefer, Phil
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Liouville type theorems for Hartree and Hartree–Fock equations

Nonlinear Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianfu Yang, Xiaohui Yu
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The submartingale property and Liouville type theorems

manuscripta mathematica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A theorem of Liouville type on a Riemannian manifold

Russian Mathematical Surveys, 1985
Let M be a non-compact Riemannian manifold and let \(x_ 0\) be a fixed point of M. For each \(x\in M\), let r(x) be the geodesic distance between x and \(x_ 0\). The main result is as follows. If h: [0,\(\infty)\to [0,\infty)\) is an increasing function such that \(\int^{\infty}_{1}(h(t))^{-1} dt0\) and \(\int_{M}(1+r(x))^{-2} h(u^+(x ...
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The Liouville theorems for 3D stationary tropical climate model

Mathematical Methods in the Applied Sciences, 2021
Fan Wu
exaly  

Optimal Liouville theorems for superlinear parabolic problems

Duke Mathematical Journal, 2021
Pavol Quittner
exaly  

Liouville-type theorems

Mathematical Notes of the Academy of Sciences of the USSR, 1979
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