On the Riesz-means of negative eigenvalues for a fractional Schrödinger operator

DOI10.1080/10652469.2016.1245301zbMath1361.35118OpenAlexW2535006026MaRDI QIDQ5506813

Mohammed El Aïdi

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1245301

zbMATH Keywords

variational principlequadratic formsnegative eigenvaluesfractional Sobolev space

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Forms (bilinear, sesquilinear, multilinear) (47A07) Fractional partial differential equations (35R11)

Cites Work

• A note on an upper bound of the toll of negative eigenvalues for a fractional Schrödinger operator
• CLR-type inequality on a suitable smooth manifold
• A simple proof of Hardy-Lieb-Thirring inequalities
• Best constants for Sobolev inequalities for higher order fractional derivatives
• A lower bound for the number of negative eigenvalues on a Euclidean space and on a complete Riemannian manifold
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• ON THE NEGATIVE SPECTRUM OF AN ELLIPTIC OPERATOR
• On Moments of Negative Eigenvalues of an Elliptic Operator
• On the negative spectrum of an elliptic operator with Robin boundary conditions
• Negative spectrum of an elliptic operator with Robin boundary conditions

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