Results 91 to 100 of about 6,857,278 (209)

Fractional operators with exponential kernels and a Lyapunov type inequality

Advances in Difference Equations, 2017
In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals.
Thabet Abdeljawad
doaj   +1 more source

Liouville type theorems for g-subharmonic functions

, 2001
In this paper we present some Liouville type theorems for solutions of differential inequalities involving the f-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these ...
Setti, Alberto G., Rigoli, Marco
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Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications

Heliyon, 2019
In this paper local and global gradient estimates are obtained for positive solutions to the following nonlinear elliptic equationΔfu+p(x)u+q(x)uα=0, on complete smooth metric measure spaces (MN,g,e−fdv) with ∞-Bakry-Émery Ricci tensor bounded from below,
Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate   +2 more
doaj   +1 more source

A Liouville-Type Theorem for Harmonic Functions on Exterior Domains

Journal of Mathematical Analysis and Applications, 2000
Liouville's classical theorem that a function harmonic in \(\mathbb{R}^2\) that is bounded below is a constant does not extend to \(\mathbb{R}^2\) punctured at the origin. Via some interesting preliminaries on convex sets in \(\mathbb{R}^2\), the authors prove that if \(K\) is a non-empty compact convex set in \(\mathbb{R}^2\) and \(f\) is a real ...
CAMMAROTO, Filippo, CHINNI', Antonia
openaire   +2 more sources

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

Global properties and multiple solutions for boundary-value problems of impulsive differential equations

Electronic Journal of Differential Equations, 2013
This article presents global properties and existence of multiple solutions for a class of boundary value problems of impulsive differential equations.
Jing Wang, Baoqiang Yan
doaj  

Liouville type theorems for the Euler and the Navier–Stokes equations

Advances in Mathematics, 2011
15 ...
openaire   +3 more sources

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
doaj   +1 more source

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

Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]

, 2013
We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
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