Results 211 to 220 of about 7,152,101 (256)

Statistical solution and Liouville-type theorem for the nonautonomous discrete Selkov model

Dynamical systems, 2022
In this article, we study the statistical solution of the nonautonomous discrete Selkov model. First, we show the existence of a pullback- attractor for the system and establish the existence of a unique family of invariant Borel probability measures ...
Congcong Li, Chunqiu Li, Jintao Wang
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The Liouville type theorem for the stationary magnetohydrodynamic equations

, 2021
In this paper, we focused on demonstrating the Liouville type theorem for the stationary magnetohydrodynamic equations. First, we improve the well-known L92(R3) result logarithmically.
H. Fan, Meng Wang
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Liouville Type Theorems for Fractional Parabolic Problems

Journal of Dynamics and Differential Equations, 2021
The authors establish Liouville-type theorems for fractional parabolic problems, presenting a compelling dual-purpose exploration. Their first objective is to establish optimal Liouville-type theorems, focusing on both nonnegative and positive supersolutions of fractional parabolic equations across the entire time-space continuum.
Anh Tuan Duong, Van Hoang Nguyen
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A Theorem of Liouville Type for Harmonic Morphisms

Geometriae Dedicata, 2001
Let \(M\) be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and \(N\) be a Riemannian manifold with nonpositive scalar curvature. Then every harmonic morphism \(M\to N\) of finite energy is constant. This theorem is related to the classical result of \textit{R. Schoen} and \textit{S.-T. Yau} [Comment. Math. Helv. 51, 333-341
Choi, Gundon, Yun, Gabjin
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Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System

Journal of Mathematical Fluid Mechanics, 2020
In this paper we prove Liouville type theorem for the stationary Navier–Stokes equations in $$\mathbb {R}^3$$ R 3 under the assumptions on the relative decays of velocity, pressure and the head pressure. More precisely, we show that any smooth solution (
D. Chae
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A Liouville type theorem for semilinear elliptic systems

Pacific Journal of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teramoto, Tomomitsu, Usami, Hiroyuki
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A Liouville-type theorem for Lane-Emden system

Indiana University Mathematics Journal, 2002
The authors provide a partial positive answer to a well-known conjecture about the nonexistence of positive solutions to Lane-Emden systems below the critical Sobolev hyperbola. The proof is based on a monotonicity argument for suitable transformed functions.
Busca, Jérôme, Manásevich, Raul
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Phragmen-Liouville-type theorems and Liouville theorems for a linear parabolic equation

Mathematical Notes of the Academy of Sciences of the USSR, 1985
The author proves some results of Phragmén-Lindelöf type and some Liouville type theorems applying to a class of linear parabolic equations with measurable coefficients.
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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 theorem for higher order Hénon equations on a half space

Nonlinear Analysis, 2019
In this paper, we are concerned with the higher order Henon equations with Navier boundary condition on a half space R + n : (0.1) ( − Δ ) m u ( x ) = | x | a u p ( x ) , u ( x ) ≥ 0 , x ∈ R + n , u = ( − Δ ) u = ⋯ = ( − Δ ) m − 1 u = 0 , x ∈ ∂ R + n ...
Wei Dai, Guolin Qin, Yang Zhang
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