Results 1 to 10 of about 7,152,101 (256)

New Liouville-type theorem for the stationary tropical climate model [PDF]

Applied Mathematics Letters
We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of $L^p$-norm on annuli, which improves the previous ...
Minsuk Yang, Youseung Cho, Hyunjin In
exaly   +5 more sources

A Liouville‐type theorem for cylindrical cones [PDF]

Communications on Pure and Applied Mathematics, 2023
Suppose that C0n⊂Rn+1$\mathbf {C}_0^n \subset \mathbb {R}^{n+1}$ is a smooth strictly minimizing and strictly stable minimal hypercone (such as the Simons cone), l≥0$l \ge 0$ , and M$M$ a complete embedded minimal hypersurface of Rn+1+l$\mathbb {R}^{n+1 ...
Nick Edelen, G'abor Sz'ekelyhidi
semanticscholar   +3 more sources

Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations [PDF]

Journal of Differential Equations, 2022
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors.
Caidi Zhao, Jin-Tao Wang, T. Caraballo
semanticscholar   +2 more sources

Liouville-type theorem for Kirchhoff equations involving Grushin operators

Boundary Value Problems, 2020
The aim of this paper is to prove the Liouville-type theorem of the following weighted Kirchhoff equations: 0.1 − M ( ∫ R N ω ( z ) | ∇ G u | 2 d z ) div G ( ω ( z ) ∇ G u ) = f ( z ) e u , z = ( x , y ) ∈ R N = R N 1 × R N 2 $$\begin{aligned} \begin ...
Yunfeng Wei, Caisheng Chen, Hongwei Yang
doaj   +2 more sources

A Liouville-Type Theorem for Smooth Metric Measure Spaces [PDF]

Journal of Geometric Analysis, 2010
For smooth metric measure spaces (M,g,e−fdvol) we prove a Liouville-type theorem when the Bakry–Emery Ricci tensor is nonnegative. This generalizes a result of Yau, which is recovered in the case f is constant.
Kevin Brighton
semanticscholar   +5 more sources

A Liouville type theorem for p-Laplace equations

Electronic Journal of Differential Equations, 2015
In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered ...
Cristian Enache
doaj   +2 more sources

A Liouville type Theorem for an integral system

Communications on Pure and Applied Analysis, 2006
In this paper, we study a conjecture of J.Serrin and give a partial generalized result of the work of de Figueiredo and Felmer about Liouville type Theorem for non-negative solutions for an elliptic system. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality.
Dezhong Chen, Li Ma
exaly   +2 more sources

Liouville type theorem for nonlinear elliptic system involving Grushin operator

Journal of Mathematical Analysis and Applications, 2017
Anh Tuan Duong, Quoc Hung Phan
exaly   +2 more sources

On an almost sharp Liouville type theorem for fractional Navier-Stokes equations [PDF]

Publicacions matemàtiques, 2022
We investigate existence, Liouville type theorems and regularity results for the 3D stationary and incompressible fractional Navier-Stokes equations: in this setting the usual Laplacian is replaced by its fractional power $(-\Delta)^{\frac{\alpha}{2 ...
D. Chamorro, Bruno Poggi
semanticscholar   +1 more source

Liouville type theorem for stable solutions of p-Laplace equation in RN

Applied Mathematics Letters, 2017
Caisheng Chen
exaly   +2 more sources