Results 21 to 30 of about 38,137 (194)
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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A Liouville-type Theorem for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2007 In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a symmetric critical operator $P_1$, such that a nonzero subsolution of a symmetric nonnegative operator $P_0$ is a ground state. Particularly, if $P_j:=- +V_j$, for $j=0,1$, are two nonnegative Schr dinger operators defined on $ \subseteq \mathbb{R}^d$ such
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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 p-harmonic maps
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moon, Dong Joo +2 more
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The Liouville property for groups acting on rooted trees [PDF]
, 2015 We show that on groups generated by bounded activity automata, every symmetric, finitely supported probability measure has the Liouville property. More generally we show this for every group of automorphisms of bounded type of a rooted tree.
Amir, Gideon +3 more
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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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A Liouville-type theorem for the p-Laplacian with potential term [PDF]
, 2007 In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state.
Pinchover, Yehuda +2 more
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Liouville-type theorems for fractional Hardy–Hénon systems
Nonlinear Differential Equations and Applications NoDEA, 2023 AbstractIn this paper, we study Liouville-type theorems for fractional Hardy–Hénon elliptic systems with weights. Because the weights are singular at zero, we firstly prove that classical solutions for systems in $${\mathbb {R}}^N \backslash \{0\}$$ R
Kui Li, Yisen Meng, Zhitao Zhang
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A Liouville type theorem for a class of anisotropic equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.
Barbu Luminiţa, Enache Cristian
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High-order Bahri–Lions Liouville-type theorems [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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