Zobrazeno 1 - 10
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pro vyhledávání: '"Liouville type theorems"'
Autor:
Liang, Wenguo, Zhang, Zhengce
This paper is concerned with the local and global properties of nonnegative solutions for semilinear heat equation $u_t-\Delta u=u^p+M|\nabla u|^q$ in $\Omega\times I\subset \R^N\times \R$, where $M>0$, and $p,q>1$. We first establish the local point
Externí odkaz:
http://arxiv.org/abs/2408.02893
In this paper, we investigate the Liouville-type theorems for axisymmetric solutions to steady Navier-Stokes system in a layer domain. The both cases for the flows supplemented with no-slip boundary and Navier boundary conditions are studied. If the
Externí odkaz:
http://arxiv.org/abs/2406.09856
Autor:
Wang, Wendong, Yang, Guoxu
In this paper, we investigate Liouville type theorems for the three-dimensional steady-state MHD or Hall-MHD system under some asymptotic assumptions at infinity. Firstly, for the Hall-MHD system we obtain that $u$ and $B$ are constant vectors for an
Externí odkaz:
http://arxiv.org/abs/2404.18051
Autor:
Jian, Run-Qiang, Zhang, Zhu-Hong
We establish three circles theorems for subharmonic functions on Riemannian manifolds with nonnegative Ricci curvature, as well as on gradient shrinking Ricci solitons with scalar curvature bounded from below by $\frac{n-2}{2}$. We also establish a t
Externí odkaz:
http://arxiv.org/abs/2404.08546
Autor:
Liu, Qing, Zhanpeisov, Erbol
We study a general class of fully nonlinear boundary-degenerate elliptic equations that admit a trivial solution. Although no boundary conditions are posed together with the equations, we show that the operator degeneracy actually generates an implic
Externí odkaz:
http://arxiv.org/abs/2406.11440
In this paper, we establish a Liouville type theorem for the homogeneous dual fractional parabolic equation \begin{equation} \partial^\alpha_t u(x,t)+(-\Delta)^s u(x,t) = 0\ \ \mbox{in}\ \ \mathbb{R}^n\times\mathbb{R} . \end{equation} where $0<\alpha
Externí odkaz:
http://arxiv.org/abs/2405.05577
Autor:
Taheri, Ali, Vahidifar, Vahideh
In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of nonlinear parabolic equations involving the Witten or drifting Lapla
Externí odkaz:
http://arxiv.org/abs/2404.01749
Autor:
Bang, Jeaheang, Yang, Zhuolun
We prove two Liouville type theorems for the stationary Navier-Stokes equations in $\mathbb{R}^3$ under some assumptions on 1) the growth of the $L^s$ mean oscillation of a potential function of the velocity field, or 2) the relative decay of the hea
Externí odkaz:
http://arxiv.org/abs/2402.11144
Autor:
Lee, Sanghoon
In this paper, we establish Liouville-type theorems for a one-parameter family of elliptic PDEs on the standard upper half-plane model of the hyperbolic space, under specific geometric assumptions. Our results indicate that the Euclidean half-plane i
Externí odkaz:
http://arxiv.org/abs/2401.06623
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