On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00557030" target="_blank" >RIV/61389005:_____/22:00557030 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s12220-022-00917-z" target="_blank" >https://doi.org/10.1007/s12220-022-00917-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-022-00917-z" target="_blank" >10.1007/s12220-022-00917-z</a>

Result language
angličtina
Original language name
On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter
Original language description
We consider the magnetic Robin Laplacian with a negative boundary parameter on a bounded, planar C-2-smooth domain. The respective magnetic field is homogeneous. Among a certain class of domains, we prove that the disk maximises the ground-state energy under the fixed perimeter constraint provided that the magnetic field is of moderate strength. This class of domains includes, in particular, all domains that are contained upon translations in the disk of the same perimeter and all centrally symmetric domains.
Czech name
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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/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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