On the eigenvalues for a weighted p-Laplacian operator on metric graphs

DOI10.1080/17476933.2018.1434630zbMath1409.35156OpenAlexW2790650946MaRDI QIDQ4629079

Mohammed El Aïdi

Publication date: 25 March 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1434630

zbMATH Keywords

Sobolev space\(p\)-Laplacian operatorpositive operatormetric graph

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) Approximation by other special function classes (41A30) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

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

Cites Work

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• CLR-type inequality on a suitable smooth manifold
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• The first eigenvalue of the \(p-\)Laplacian on quantum graphs
• Spectral analysis on graph-like spaces
• Stability of variational eigenvalues for the fractional \(p\)-Laplacian
• On approximation of functions from Sobolev spaces on metric graphs
• Resonance problems for the \(p\)-Laplacian
• A minimum-maximum principle for a class of non-linear integral equations
• An optimization problem for the first eigenvalue of the ‐fractional Laplacian
• Exponential decay of eigenfunctions of Schrödinger operators on infinite metric graphs
• Variational Methods

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