LIEB-THIRRING TYPE ESTIMATES FOR DIRICHLET LAPLACIANS ON SPIRAL-SHAPED DOMAINS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA26039N7" target="_blank" >RIV/61988987:17310/25:A26039N7 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0034487725000266" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0034487725000266</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/S0034-4877(25)00026-6" target="_blank" >10.1016/S0034-4877(25)00026-6</a>

Result language
angličtina
Original language name
LIEB-THIRRING TYPE ESTIMATES FOR DIRICHLET LAPLACIANS ON SPIRAL-SHAPED DOMAINS
Original language description
In this present paper we consider the asymptotically Archimedean spiral-shaped regions for which the Dirichlet Laplacian spectrum consists of the essential part and the eigenvalues below the threshold of the essential spectrum. Our purpose here is to obtain the bounds on the moments of these eigenvalues in terms of the geometric properties of the region. As a consequence of the mentioned bound we describe the class of the asymptotically Archimedean spiral-shaped regions such that the Dirichlet Laplacian has only a finite number of the eigenvalues below the threshold of the essential spectrum.
Czech name
—
Czech description
—

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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)