Eigenvalue estimates via weighted \(L^2\)-technique

DOI10.1016/j.jfa.2021.109040zbMath1462.35221OpenAlexW3153003644MaRDI QIDQ2020105

Qingchun Ji, Li Lin

Publication date: 23 April 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109040

zbMATH Keywords

Dirac operatorselliptic boundary conditionsDirac bundleMorrey-Kohn-Hörmander theory

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) PDEs on manifolds (35R01)

Cites Work

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• Lower eigenvalue estimates for Dirac operators
• Eigenvalue estimates for the Dirac operator with generalized APS boundary condition
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• The Yamabe problem on manifolds with boundary
• Sharp Sobolev inequalities involving boundary terms
• Harmonic spinors
• Eigenvalue boundary problems for the Dirac operator
• Eigenvalue estimates of the Dirac operator depending on the Ricci tensor
• Solvability of Dirac type equations
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors
• Dirac operator on embedded hypersurfaces
• Eigenvalues of the Dirac operator on manifolds with boundary