Results 11 to 20 of about 128,734 (275)
The standard Laplace operator [PDF]
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
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p-Laplace Operators for Oriented Hypergraphs [PDF]
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
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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
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
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Laplace Operator In Irregular Domain [PDF]
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
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Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
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
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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
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A novel Gauss-Laplace operator based on multi-scale convolution for dance motion image enhancement
This article has been retracted, and the retraction notice can be found here: http://dx.doi.org/10.4108/eai.8-4-2022.173797.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
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The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps [PDF]
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
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On the algebra of symmetries of Laplace and Dirac operators [PDF]
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
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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
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