Results 111 to 120 of about 7,152,101 (256)

A Liouville type theorem for \(p\)-harmonic maps

open access: yesOsaka Journal of Mathematics, 1998
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 ...
openaire   +4 more sources

A LIOUVILLE TYPE THEOREM FOR HARMONIC MORPHISMS

open access: yesJournal of the Korean Mathematical Society, 2007
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
openaire   +1 more source

Fractional Integral Inequalities of Riemann–Liouville Type for Higher‐Order Differentiable Convex Mappings

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.
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]

open access: yes, 2011
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
core   +1 more source

Optimal Liouville-type theorems for a parabolic system

open access: yesDiscrete and Continuous Dynamical Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

LIOUVILLE TYPE THEOREM FOR NONLINEAR BOUNDARY VALUE PROBLEM ON HEISENBERG GROUP

open access: yes, 2017
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
core   +1 more source

Generalized Picone's identity and its applications

open access: yesElectronic Journal of Differential Equations, 2013
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

open access: yesBoundary Value Problems, 2019
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
doaj   +1 more source

On a Liouville-type theorem for the Ginzburg–Landau system

open access: yesComptes Rendus. Mathématique, 2017
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.
openaire   +1 more source

A Liouville type theorem for Carnot groups

open access: yes, 2010
11 ...
Ottazzi, Alessandro, Warhurst, Ben
openaire   +2 more sources

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