Results 91 to 100 of about 19,753 (190)

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai, Brahim Tellab, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +4 more
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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.
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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
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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
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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
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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
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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.
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Integral inequalities and theorems of Liouville type

Journal of Mathematical Analysis and Applications, 1969
Throughout this paper x = (x1 ,... , x,) denotes a point of real Euclidean space En, r = / x [ is the distance to the origin, and F and P > 0 are continuous functions of r, 0 < r < co. We use dr and da for the volume and surface elements of integration respectively, while a, is the area of the surface of the unit n-ball in E”.
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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

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
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