Results 111 to 120 of about 7,152,101 (256)
A Liouville type theorem for \(p\)-harmonic maps
The author proves a Liouville type theorem for \(p\)-harmonic maps. Namely, considering the Riemannian manifolds \((M,g)\) and \((N,h)\), where \(M\) is complete, noncompact and has nonnegative Ricci curvature and \(N\) has nonpositive sectional curvature, a \(p\)-harmonic map \(u: M\to N\) of \(C^1_{\text{loc}}\)-class is shown to be constant if its ...
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A LIOUVILLE TYPE THEOREM FOR HARMONIC MORPHISMS
Let M be a complete Riemannian manifold and let N be a Riemannian manifold of nonpositive scalar curvature. Let μ0 be the least eigenvalue of the Laplacian acting on L2-functions on M . We show that if RicM ≥ −μ0 at all x ∈ M and either RicM > −μ0 at some point x0 or Vol(M) is infinite, then every harmonic morphism φ : M → N of finite energy is ...
Seoung-Dal Jung +2 more
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ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley +1 more source
The Zero-Removing Property and Lagrange-Type Interpolation Series [PDF]
The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting.
M. A. Hernández-Medina +5 more
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Optimal Liouville-type theorems for a parabolic system
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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LIOUVILLE TYPE THEOREM FOR NONLINEAR BOUNDARY VALUE PROBLEM ON HEISENBERG GROUP
In this paper, we establish some Liouville type theorem for nonlinear elliptic equation in the Heisenberg group with nonlinear boundary value condition.
Zhao, Xiaojun, Xiaojun Liu
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Generalized Picone's identity and its applications
In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj
Liouville type theorem for a singular elliptic equation with finite Morse index
This paper considers the nonexistence of solutions for the following singular quasilinear elliptic problem: 0.1 {−div(|x|−ap|∇u|p−2∇u)=f(|x|)|u|r−1u,x∈R+N,|x|−ap|∇u|p−2∂u∂ν=g(|x|)|u|q−1u,on ∂R+N, $$\begin{aligned} \textstyle\begin{cases} -\operatorname ...
Zonghu Xiu +3 more
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On a Liouville-type theorem for the Ginzburg–Landau system
We prove that entire, complex valued solutions to the Ginzburg–Landau system with positive real and imaginary parts are constant in any spatial dimension. This property was shown very recently only in the planar case.
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A Liouville type theorem for Carnot groups
11 ...
Ottazzi, Alessandro, Warhurst, Ben
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