Results 91 to 100 of about 19,748 (189)

New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes

Boundary Value Problems
This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara, Fatih Hezenci, Arslan Munir, Hüseyin Budak   +3 more
doaj   +1 more source

Nonexistence results of positive solutions of Heisenberg Hessian equations and inequalities on the Heisenberg group

Analysis and Geometry in Metric Spaces
In this article, we study Liouville type theorems of fully nonlinear elliptic partial differential equations on the Heisenberg group and obtain some nonexistence results of positive solutions of Heisenberg Hessian equations (and inequalities), including ...
Chen Chuanqiang, Ma Yan
doaj   +1 more source

Liouville type theorems for generalized P-harmonic maps

Arabian Journal of Mathematics
AbstractSome theorems of Liouville type are given for such P-harmonic maps when target manifold have conformal vector field or convex function or have non-positive sectional curvature.
openaire   +1 more source

An application of stress energy tensor to the vanishing theorem of differential forms

International Journal of Mathematics and Mathematical Sciences, 1988
The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic ...
Kairen Cai
doaj   +1 more source

Liouville type theorems for elliptic equations involving Grushin operator and advection

Electronic Journal of Differential Equations, 2017
In this article, we study the equation $$ -G_{\alpha}u+\nabla_G w\cdot\nabla_Gu=\|\mathbf{x}\|^{s}|u|^{p-1}u , \quad \mathbf{x}=(x,y)\in \mathbb{R}^N= \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, $$ where $ G_\alpha$ (resp., $\nabla_G$) is Grushin ...
Anh Tuan Duong, Nhu Thang Nguyen
doaj  

Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]

J Inequal Appl, 2018
Ma B, Dong Y.
europepmc   +1 more source

Stability of Delay Hopfield Neural Networks with Generalized Riemann-Liouville Type Fractional Derivative. [PDF]

Entropy (Basel), 2023
Agarwal RP, Hristova S.
europepmc   +1 more source

Existence of solutions for a two-point boundary-value problem of a fourth-order Sturm-Liouville type

Electronic Journal of Differential Equations, 2012
In this work, we establish the existence of two intervals for a parameter $lambda$ for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to $lambda$.
Shapour Heidarkhani
doaj  

Solvability of a Riemann–Liouville-Type Fractional-Impulsive Differential Equation with a Riemann–Stieltjes Integral Boundary Condition

Fractal and Fractional
In this work, we address the solvability of a Riemann–Liouville-type fractional-impulsive integral boundary value problem. Under some conditions on the spectral radius corresponding to the related linear operator, we use fixed-point methods to obtain ...
Keyu Zhang, Donal O’Regan, Jiafa Xu
doaj   +1 more source

Liouville-Type Theorems for Some Integral Systems

Applied Mathematics, 2010
In this paper, Liouville-type theorems of nonnegative solutions for some elliptic integral systems are considered. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality instead of Maximum Principle.
openaire   +2 more sources