p-Laplace Operators for Oriented Hypergraphs

Jürgen Jost; Raffaella Mulas; Dong Zhang

doi:10.1007/s10013-021-00525-4

p-Laplace Operators for Oriented Hypergraphs

Jürgen Jost, Raffaella Mulas, Dong Zhang

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

The 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. Several spectral properties of these operators are investigated.

Original language	English
Pages (from-to)	323–358
Number of pages	36
Journal	Vietnam Journal of Mathematics
Volume	50
Issue number	2
Early online date	7 Oct 2021
DOIs	https://doi.org/10.1007/s10013-021-00525-4
Publication status	Published - Apr 2022
Externally published	Yes

Funding

We thank Friedemann Schuricht and two anonymous referees for valuable suggestions and references.

Funders	Funder number
Friedemann Schuricht

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10.1007/s10013-021-00525-4

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title = "p-Laplace Operators for Oriented Hypergraphs",

abstract = "The 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. Several spectral properties of these operators are investigated.",

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year = "2022",

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AU - Mulas, Raffaella

AU - Zhang, Dong

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N2 - The 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. Several spectral properties of these operators are investigated.

AB - The 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. Several spectral properties of these operators are investigated.

U2 - 10.1007/s10013-021-00525-4

DO - 10.1007/s10013-021-00525-4

M3 - Article

SN - 2305-2228

VL - 50

SP - 323

EP - 358

JO - Vietnam Journal of Mathematics

JF - Vietnam Journal of Mathematics

IS - 2

ER -

p-Laplace Operators for Oriented Hypergraphs

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