Results 31 to 40 of about 29,180 (228)
Современная математика: Фундаментальные направления, 2023 Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm-Liouville type for a nonlinear ordinary differential equation, and give an ...
G. E. Abduragimov +2 more
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A Liouville-Type Theorem for Elliptic Systems [PDF]
, 1994 The authors consider the system \(- \triangle u = v^ \alpha\), \(- \triangle v = u^ \beta\) in the whole of \(\mathbb{R}^ N\), \(N \geq 3\). The question is to determine for which values of the exponents \(\alpha\) and \(\beta\) the only nonnegative solution \((u,v)\) is the trivial one.
de Figueiredo, D. G., Felmer, P. L.
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Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a liouville type theorem [PDF]
, 2021 We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions.
Leoni F., Birindelli I., Demengel F.
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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
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An improved Liouville type theorem for Beltrami flows
, 2022 In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it. One is the monotonicity method, and the other is proof by contradiction.
Zhang, Zhibing, Wang, Na
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A Liouville-type Theorem for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2007 14 pages, the main result was improved, and a few more applications were ...
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Liouville-type theorems for the Navier–Stokes equations [PDF]
Russian Mathematical Surveys, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seregin, G. A., Shilkin, T. N.
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Remarks on a Liouville-Type Theorem for Beltrami Flows [PDF]
International Mathematics Research Notices, 2014 We present a simple, short and elementary proof that if $v$ is a Beltrami flow with a finite energy in $\mathbb R^3$ then $v=0$. In the case of the Beltrami flows satisfying $v\in L^\infty _{loc} (\Bbb R^3) \cap L^q(\Bbb R^3)$ with $q\in [2, 3)$, or $|v(x)|=O(1/|x|^{1+\varepsilon})$ for some $\varepsilon >0$, we provide a different, simple proof ...
Chae, Dongho, Constantin, Peter
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A Liouville type theorem for the Schrödinger operator [PDF]
Proceedings of the American Mathematical Society, 1999 In this paper we prove that the equation Δ u (
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Green function method for a fractional–order delay differential equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we investigated a boundary value problem with the Sturm-Liouville type conditions for a linear ordinary differential equation of fractional order with delay. The condition for the unique solvability of the problem is obtained in the form △
M.G. Mazhgikhova
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