Upper bounds of the eigenvalues related to a weighted fractional \(p\)-Laplacian on metric graphs

DOI10.1007/s00373-018-1889-5zbMath1391.35295OpenAlexW2794830110MaRDI QIDQ1637103

Mohammed El Aïdi

Publication date: 7 June 2018

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-018-1889-5

zbMATH Keywords

Sobolev spacesmetric graphfractional \(p\)-Laplacian operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Positive linear operators and order-bounded operators (47B65) Measures and integration on abstract linear spaces (46G12) Fractional partial differential equations (35R11) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• The fractional Cheeger problem
• Eigenvalues of the fractional Laplace operator in the interval
• Stability of variational eigenvalues for the fractional \(p\)-Laplacian
• On approximation of functions from Sobolev spaces on metric graphs
• A minimum-maximum principle for a class of non-linear integral equations
• On the eigenvalues for a weighted p-Laplacian operator on metric graphs
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