Results 71 to 80 of about 497 (183)

A Liouville type theorem for \(p\)-harmonic maps

Osaka Journal of Mathematics, 1998
The author proves a Liouville type theorem for \(p\)-harmonic maps. Namely, considering the Riemannian manifolds \((M,g)\) and \((N,h)\), where \(M\) is complete, noncompact and has nonnegative Ricci curvature and \(N\) has nonpositive sectional curvature, a \(p\)-harmonic map \(u: M\to N\) of \(C^1_{\text{loc}}\)-class is shown to be constant if its ...
openaire   +4 more sources

Affine hypersurfaces and superintegrable systems

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Existence and Hyers–Ulam stability for three-point boundary value problems with Riemann–Liouville fractional derivatives and integrals

Advances in Difference Equations, 2018
This paper is concerned with a class of two-term fractional differential equations. Three-point boundary value problems with mixed Riemann–Liouville fractional differential and integral boundary conditions are discussed.
Lei Xu, Qixiang Dong, Gang Li
doaj   +1 more source

On a Liouville-type theorem for the Ginzburg–Landau system

Comptes Rendus. Mathématique, 2017
We prove that entire, complex valued solutions to the Ginzburg–Landau system with positive real and imaginary parts are constant in any spatial dimension. This property was shown very recently only in the planar case.
openaire   +1 more source

Newton-type Inequalities for Fractional Integrals by Various Function Classes

Universal Journal of Mathematics and Applications
The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak, Tingsong Du, Fatih Hezenci   +2 more
doaj   +1 more source

A Liouville type theorem for Carnot groups

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

A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators

Journal of Mathematics, 2019
We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel.
D. L. Suthar, Mitku Andualem, Belete Debalkie   +2 more
doaj   +1 more source

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source

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 the Euler and the Navier–Stokes equations

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