Remarks about Hardy inequalities on metric trees

zbMath1175.26035arXiv0711.1943MaRDI QIDQ3545441

Rupert L. Frank, Hynek Kovařík, Tomas Ekholm

Publication date: 10 December 2008

Full work available at URL: https://arxiv.org/abs/0711.1943

zbMATH Keywords

Laplace operatorHardy inequalitymetric treeAharonov-Bohm magnetic field

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

Optimal Hardy inequalities for Schrödinger operators on graphs ⋮ On the decomposition of the Laplacian on metric graphs ⋮ NLS ground states on metric trees: existence results and open questions ⋮ Localization for Anderson models on metric and discrete tree graphs

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