CLR-type inequality on a suitable smooth manifold

DOI10.1007/s11587-016-0257-0zbMath1366.35208OpenAlexW2265798380MaRDI QIDQ310493

Mohammed El Aïdi

Publication date: 8 September 2016

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-016-0257-0

zbMATH Keywords

smooth manifoldsnegative eigenvaluesCLR-type inequalityembedded theorem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) PDEs with measure (35R06)

Related Items (2)

On the eigenvalues for a weighted p-Laplacian operator on metric graphs ⋮ On the Riesz-means of negative eigenvalues for a fractional Schrödinger operator

Cites Work

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• Ground states for Schrödinger-Poisson type systems
• Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• The Rozenblum-Lieb-Cwikel inequality for Markov generators
• On a new embedding theorem and the CLR-type inequality for Euclidean and hyperbolic spaces
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field

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