Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Bobkov, Vladimír | |
| dc.contributor.author | Parini, Enea | |
| dc.date.accessioned | 2018-10-21T10:00:13Z | - |
| dc.date.available | 2018-10-21T10:00:13Z | - |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0024-6107 | |
| dc.identifier.uri | 2-s2.0-85044475007 | |
| dc.identifier.uri | http://hdl.handle.net/11025/30448 | |
| dc.format | 26 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | London Mathematical Society | en |
| dc.publisher | Wiley | en |
| dc.publisher | Oxford University Press | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © Wiley - London Mathematical Society - Oxford University Press | en |
| dc.title | On the higher Cheeger problem | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | closedAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | We develop the notion of higher Cheeger constants for a measurable set $\Omega \subset \mathbb{R}^N$. By the $k$-th Cheeger constant we mean the value \[h_k(\Omega) = \inf \max \{h_1(E_1), \dots, h_1(E_k)\},\] where the infimum is taken over all $k$-tuples of mutually disjoint subsets of $\Omega$, and $h_1(E_i)$ is the classical Cheeger constant of $E_i$. We prove the existence of minimizers satisfying additional ``adjustment'' conditions and study their properties. A relation between $h_k(\Omega)$ and spectral minimal $k$-partitions of $\Omega$ associated with the first eigenvalues of the $p$-Laplacian under homogeneous Dirichlet boundary conditions is stated. The results are applied to determine the second Cheeger constant of some planar domains. | en |
| dc.subject.translated | Cheeger problem | en |
| dc.subject.translated | higher Cheeger problem | en |
| dc.subject.translated | optimal partitions | en |
| dc.subject.translated | p-Laplacian. | en |
| dc.identifier.doi | 10.1112/jlms.12119 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 437044700010 | |
| dc.identifier.obd | 43922717 | |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| Vyskytuje se v kolekcích: | Články / Articles (KMA) OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| Bobkov_et_al-2018-Journal_of_the_London_Mathematical_Society.pdf | 586,16 kB | Adobe PDF | Zobrazit/otevřít Vyžádat kopii |
Použijte tento identifikátor k citaci nebo jako odkaz na tento záznam:
http://hdl.handle.net/11025/30448Všechny záznamy v DSpace jsou chráněny autorskými právy, všechna práva vyhrazena.