Results 21 to 30 of about 37,895 (200)
Mathematics, 2020 Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon +3 more
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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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A Sharp Liouville Theorem for Elliptic Operators [PDF]
, 2010 We introduce a new condition on elliptic operators $L= {1/2}\triangle + b \cdot \nabla $ which ensures the validity of the Liouville property for bounded solutions to $Lu=0$ on $\R^d$. Such condition is sharp when $d=1$.
Priola, Enrico, Wang, Feng-Yu
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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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Liouville-type theorems for minimal graphs over manifolds [PDF]
Analysis & PDE, 2021 Let $ $ be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar$\mathrm{\acute{e}}$ inequality. We show that any positive minimal graphic function on $ $ is a constant.
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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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