p-Laplace Operators for Oriented Hypergraphs
Copyright policy )p-Laplace Operators for Oriented Hypergraphs
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. Several spectral properties of these operators are investigated.
- Max Planck Society Germany
- Max Planck Institute for Mathematics in the Sciences Germany
- Santa Fe Institute United States
- Max Planck Institute for Mathematics in the Sciences Germany
Graphs and linear algebra (matrices, eigenvalues, etc.), Nonlinear spectral theory, nonlinear eigenvalue problems, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, spectral theory, Hypergraphs, \(p\)-Laplacian, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Set-valued operators, Monotone operators and generalizations, oriented hypergraphs
Graphs and linear algebra (matrices, eigenvalues, etc.), Nonlinear spectral theory, nonlinear eigenvalue problems, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, spectral theory, Hypergraphs, \(p\)-Laplacian, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Set-valued operators, Monotone operators and generalizations, oriented hypergraphs
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