A spectral result for Hardy inequalities
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Publication:466544
DOI10.1016/j.matpur.2014.02.007zbMath1314.47021arXiv1302.3039OpenAlexW2962993192WikidataQ126207340 ScholiaQ126207340MaRDI QIDQ466544
Publication date: 27 October 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.3039
Linear operator inequalities (47A63) Spectrum, resolvent (47A10) Inequalities for sums, series and integrals (26D15)
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Cites Work
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- \(L^1\) Hardy inequalities with weights
- On the finiteness of the Morse index for Schrödinger operators
- Pure point spectrum and negative curvature for noncompact manifolds
- On the spectrum of non-compact manifolds with finite volume
- A ground state alternative for singular Schrödinger operators
- Criticality and ground states for second-order elliptic equations
- A relation between growth and the spectrum of the Laplacian
- Critical phenomena in linear elliptic problems
- Hardy inequalities on non-compact Riemannian manifolds
- Complete manifolds with positive spectrum
- Optimizing improved Hardy inequalities
- Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon
- Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
- Improved Multipolar Hardy Inequalities
- On stable complete minimal hypersurfaces in R n +1
- On the best constant for Hardy’s inequality in $\mathbb {R}^n$
- Series expansion for L^p Hardy inequalities
- A unified approach to improved $L^p$ Hardy inequalities with best constants
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Existence of minimizers for Schroedinger operators under domain perturbations with application to Hard's inequality
- Large Scale Properties of Multiparameter Oscillation Problems