Results 11 to 20 of about 38,137 (194)
Liouville type theorems for stationary Navier–Stokes equations [PDF]
SN Partial Differential Equations and Applications, 2021 We show that any smooth stationary solution of the 3D incompressible Navier-Stokes equations in the whole space, the half space, or a periodic slab must vanish under the condition that for some $0 \le \le ...
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Advances in Difference Equations, 2021 This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi +3 more
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On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 AbstractIn this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Boundary Value Problems, 2017 We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
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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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Robustness for a Liouville type theorem in exterior domains [PDF]
, 2013 We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. Indeed H. Berestycki, F. Hamel and H. Matano (2009) proved such a result as soon as the domain satisfies some geometric properties.
H Berestycki, Juliette Bouhours
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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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Liouville type theorems for $\varphi$-subharmonic functions
Revista Matemática Iberoamericana, 2001 In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the \varphi -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the
Rigoli M., Setti A. G.
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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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