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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
openaire   +1 more source

Liouville-type theorems for semilinear elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weimin, Hong, Li
openaire   +1 more source

Liouville-type theorems for real sub-Laplacians

manuscripta mathematica, 2001
Let \({\mathcal L}\) be a real sub-Laplacian on \(\mathbb{R}^N\), \(N\geq 3\), and denote by \(G= (\mathbb{R}^N,0)\) its related homogeneous group. Let \(Q\) be the homogeneous dimension of \(G\). The main result is the following generalization of the classical Harnack inequality. Let \(Q/2< p\leq\infty\).
Bonfiglioli, Andrea, Lanconelli, Ermanno
openaire   +1 more source

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
openaire   +2 more sources

The submartingale property and Liouville type theorems

manuscripta mathematica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions

Communications in Partial Differential Equations, 2021
Susanna Terracini, Stefano Vita
exaly  

Liouville-type theorems

Mathematical Notes of the Academy of Sciences of the USSR, 1979
openaire   +2 more sources

Liouville type theorems for some nonlocal problems

2004
Various nonlocal problems are considered. Using capacity methods nonexistence of positive solutions is showed.
MITIDIERI, ENZO, POHOZAEV S.
openaire   +1 more source

Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations

Journal of Mathematical Analysis and Applications, 2020
Baoquan Yuan
exaly  

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