Curved nonlinear waveguides

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386697" target="_blank" >RIV/68407700:21340/25:00386697 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.na.2025.113814" target="_blank" >https://doi.org/10.1016/j.na.2025.113814</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2025.113814" target="_blank" >10.1016/j.na.2025.113814</a>

Result language
angličtina
Original language name
Curved nonlinear waveguides
Original language description
The Dirichlet p-Laplacian in tubes of arbitrary cross-section along infinite curves in Euclidean spaces of arbitrary dimension is investigated. First, it is shown that the gap between the lowest point of the generalised spectrum and the essential spectrum is positive whenever the cross-section is centrally symmetric and the tube is asymptotically straight, untwisted and nontrivially bent. Second, a Hardy-type inequality is derived for unbent and non-trivially twisted tubes.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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