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A LIOUVILLE TYPE THEOREM FOR HARMONIC MORPHISMS

Journal 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, Huili Liu, Dong-Joo Moon   +2 more
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Liouville type theorem for a singular elliptic equation with finite Morse index

Boundary 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, Jing Zhao, Jianyi Chen, Hongwei Yang   +3 more
doaj   +1 more source

Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

Advances in Difference Equations, 2018
In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions.
Hasib Khan, Wen Chen, Aziz Khan, Tahir S. Khan, Qasem M. Al-Madlal   +4 more
doaj   +1 more source

Exponential stability of solutions of nonlinear fractionally perturbed ordinary differential equations

Electronic Journal of Differential Equations, 2017
The main aim of this paper is to prove a theorem on the exponential stability of the zero solution of a class of integro-differential equations, whose right-hand sides involve the Riemann-Liouville fractional integrals of different orders and we ...
Eva Brestovanska, Milan Medved
doaj  

A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition

Abstract and Applied Analysis, 2013
We deal with nonlocal boundary value problems of fractional equations of Volterra type involving Riemann-Liouville derivative. Firstly, by defining a weighted norm and using the Banach fixed point theorem, we show the existence and uniqueness of ...
Zhenhai Liu, Rui Wang
doaj   +1 more source

Liouville type theorem for some nonlocal elliptic equations

Journal of Differential Equations, 2017
In this paper, we prove some Liouville theorem for the following elliptic equations involving nonlocal nonlinearity and nonlocal boundary value condition $$ \left\{ \begin{array}{ll} \displaystyle - u(y)=\intpr \frac{ F(u(x',0))}{|(x',0)-y|^{N- }}dx'g(u(y)), &y\in\R, \\ \\ \displaystyle \frac{\partial u}{\partial }(x',0)=\intr \frac{G(u(y ...
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A Liouville type theorem for Carnot groups

, 2010
11 ...
Ottazzi, Alessandro, Warhurst, Ben
openaire   +2 more sources

Liouville type theorems for fractional elliptic problems

, 2020
20 pages, comment are ...
Duong, Anh Tuan, Nguyen, Van Hoang
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Existence of solutions for a system of mixed fractional differential equations

Journal of Taibah University for Science, 2018
The aim of this work is to investigate, by the help of Krasnoselskii's fixed point theorem, the existence of solutions for a system of fractional differential equations involving left and right Riemann–Liouville fractional derivatives.
A. Guezane-Lakoud, S. Ramdane
doaj   +1 more source

LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS

Journal of the Korean Mathematical Society, 2017
12 ...
Jung, Min Joo, Jung, Seoung Dal
openaire   +3 more sources