The first eigenvalue of the \(p-\)Laplacian on quantum graphs

DOI10.1007/s13324-016-0123-yzbMath1353.81060arXiv1408.5935OpenAlexW3099504028MaRDI QIDQ503405

Leandro M. Del Pezzo, Julio D. Rossi

Publication date: 12 January 2017

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5935

zbMATH Keywords

eigenvaluesquantum graphsshape derivative\(p-\)Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (12)

On the spectral gap of a quantum graph ⋮ Quantum graphs which optimize the spectral gap ⋮ The Cheeger cut and Cheeger problem in metric graphs ⋮ Surgery transformations and spectral estimates of \(\delta\) beam operators ⋮ Blow-up on metric graphs and Riemannian manifolds ⋮ Edge connectivity and the spectral gap of combinatorial and quantum graphs ⋮ A Family of Diameter-Based Eigenvalue Bounds for Quantum Graphs ⋮ On the eigenvalues for a weighted p-Laplacian operator on metric graphs ⋮ Unnamed Item ⋮ On Pleijel's nodal domain theorem for quantum graphs ⋮ Limits of quantum graph operators with shrinking edges ⋮ On torsional rigidity and ground-state energy of compact quantum graphs

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