Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139528" target="_blank" >RIV/00216224:14310/24:00139528 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0021782424000965" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0021782424000965</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2024.103598" target="_blank" >10.1016/j.matpur.2024.103598</a>

Result language
angličtina
Original language name
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
Original language description
We prove a Cwikel–Lieb–Rozenblum type inequality for the number of negative eigenvalues of the Hardy–Schrödinger operator −Δ−(d−2)2/(4|x|2)−W(x) on L2(Rd). The bound is given in terms of a weighted Ld/2-norm of W which is sharp in both large and small coupling regimes. We also obtain a similar bound for the fractional Laplacian.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-17403S" target="_blank" >GA22-17403S: Nonlinear Schrödinger equations and systems with singular potentials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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