Results 11 to 20 of about 128,734 (275)

The standard Laplace operator [PDF]

open access: yesmanuscripta mathematica, 2018
The standard Laplace operator is a generalization of the Hodge Laplace operator on differential forms to arbitrary geometric vector bundles, alternatively it can be seen as generalization of the Casimir operator acting on sections of homogeneous vector bundles over symmetric spaces to general Riemannian manifolds.
Uwe Semmelmann, Gregor Weingart
openaire   +2 more sources

p-Laplace Operators for Oriented Hypergraphs [PDF]

open access: yesVietnam Journal of Mathematics, 2021
AbstractThe p-Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of oriented hypergraphs, are generalized. In particular, both a vertex p-Laplacian and a hyperedge p-Laplacian are defined for oriented hypergraphs, for all p ≥ 1.
Jürgen Jost   +2 more
openaire   +4 more sources

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

open access: yesComplexity, 2023
In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran   +5 more
doaj   +1 more source

Laplace Operator In Irregular Domain [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2014
The aim of this paper is to prove that Laplace operator depending on nine points in irregular domains is of order two in addition, some examples as an applications for this operator are given.
Ali A. Mhassin
doaj   +1 more source

Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function

open access: yesAlexandria Engineering Journal, 2023
In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang   +5 more
doaj   +1 more source

Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

open access: yesOpen Mathematics, 2020
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj   +1 more source

A novel Gauss-Laplace operator based on multi-scale convolution for dance motion image enhancement

open access: yesEAI Endorsed Transactions on Scalable Information Systems, 2021
This article has been retracted, and the retraction notice can be found here: http://dx.doi.org/10.4108/eai.8-4-2022.173797. Traditional image enhancement methods have the problems of low contrast and fuzzy details.
Dianhuai Shen   +2 more
doaj   +1 more source

The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps [PDF]

open access: yes, 2018
We study a general class of discrete $p$-Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem, we show that under the assumption of bounded first moments and a ...
Flegel, Franziska, Heida, Martin
core   +4 more sources

On the algebra of symmetries of Laplace and Dirac operators [PDF]

open access: yes, 2018
We consider a generalization of the classical Laplace operator, which includes the Laplace-Dunkl operator defined in terms of the differential-difference operators associated with finite reflection groups called Dunkl operators.
De Bie, Hendrik   +2 more
core   +2 more sources

Maximum Principle for Variable-Order Fractional Conformable Differential Equation with a Generalized Tempered Fractional Laplace Operator

open access: yesFractal and Fractional, 2023
In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new
Tingting Guan, Lihong Zhang
doaj   +1 more source

Home - About - Disclaimer - Privacy