Results 101 to 110 of about 5,661 (277)

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

open access: yesAdvances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

On the Gibbs-Liouville theorem in classical mechanics [PDF]

open access: yes, 2019
In this article, it is argued that the Gibbs-Liouville theorem is a mathematical representation of the statement that closed classical systems evolve deterministically.
Henriksson, Andreas
core  

Multiple Solutions for a Class of Fractional Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2012
We study the multiplicity of solutions for the following fractional boundary value problem: where and are the left and right Riemann-Liouville fractional integrals of order , respectively, is a real number, is a given function, and is the gradient ...
Ge Bin
doaj   +1 more source

Liouville theorem for quasilinear elliptic equations in $\mathbb R^N$

open access: yes, 2023
We prove Liouville theorem for the equation $\Delta_m v + v^p + M |\nabla v|^{q}= 0$ in a domain $\Omega\subset\mathbb R^n$, with $M\in \mathbb{R}$ in the critical and subcritical case.
Wu, Wangzhe, Zhang, Qiqi
core  

Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems

open access: yesDiscrete Dynamics in Nature and Society, 2017
The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations.
Nichaphat Patanarapeelert   +1 more
doaj   +1 more source

Liouville theorem for $V$-harmonic maps under non-negative $(m, V)$-Ricci curvature for non-positive $m$

open access: yes, 2023
Let $V$ be a $C^1$-vector field on an $n$-dimensional complete Riemannian manifold $(M, g)$. We prove a Liouville theorem for $V$-harmonic maps satisfying various growth conditions from complete Riemannian manifolds with non-negative $(m, V)$-Ricci ...
Li, Xiangdong   +3 more
core  

Extensions of Liouville theorems

open access: yesJournal of Mathematical Analysis and Applications, 1982
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
openaire   +2 more sources

A priori estimates and existence for quasilinear elliptic equations with nonlinear Neumann boundary conditions

open access: yesElectronic Journal of Differential Equations, 2016
This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure.
Zhe Hu, Li Wang, Peihao Zhao
doaj  

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