A note on the failure of the Faber-Krahn inequality for the vector Laplacian
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386695" target="_blank" >RIV/68407700:21340/25:00386695 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1051/cocv/2025008" target="_blank" >https://doi.org/10.1051/cocv/2025008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2025008" target="_blank" >10.1051/cocv/2025008</a>
Alternative languages
Result language
angličtina
Original language name
A note on the failure of the Faber-Krahn inequality for the vector Laplacian
Original language description
We consider a natural eigenvalue problem for the vector Laplacian related to stationary Maxwell’s equations in a cavity and we prove that an analog of the celebrated Faber–Krahn inequality doesn’t hold, regardless of whether a volume or perimeter constraint is applied.
Czech name
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Czech description
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Classification
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
Result continuities
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)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ESAIM: Control, Optimisation and Calculus of Variations
ISSN
1292-8119
e-ISSN
1262-3377
Volume of the periodical
31
Issue of the periodical within the volume
21
Country of publishing house
FR - FRANCE
Number of pages
10
Pages from-to
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UT code for WoS article
001448034400001
EID of the result in the Scopus database
2-s2.0-105001204094