Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Bobkov, Vladimír | |
| dc.contributor.author | Kolonitskii, Sergey | |
| dc.date.accessioned | 2020-01-13T11:00:21Z | - |
| dc.date.available | 2020-01-13T11:00:21Z | - |
| dc.date.issued | 2019 | |
| dc.identifier.citation | BOBKOV, V., KOLONITSKII, S. On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations. Proceedings of the royal society of Edinburgh section a-matematics, 2019, roč. 149, č. 5, s. 1163-1173. ISSN 0308-2105. | en |
| dc.identifier.issn | 0308-2105 | |
| dc.identifier.uri | 2-s2.0-85060012777 | |
| dc.identifier.uri | http://hdl.handle.net/11025/36212 | |
| dc.format | 11 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Cambridge University Press | en |
| dc.relation.ispartofseries | Proceedings Of The Royal Society Of Edinburgh Section A-mathematics | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © Cambridge University Press | en |
| dc.title | On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | closedAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | In this note, we prove the Payne-type conjecture about the behaviour of the nodal set of least energy sign-changing solutions for the equation -Delta(p)u = f(u) in bounded Steiner symmetric domains Omega subset of R-N under the zero Dirichlet boundary conditions. The nonlinearity f is assumed to be either superlinear or resonant. In the latter case, least energy sign-changing solutions are second eigenfunctions of the zero Dirichlet p-Laplacian in Omega. We show that the nodal set of any least energy sign-changing solution intersects the boundary of Omega. The proof is based on a moving polarization argument. | en |
| dc.subject.translated | p-Laplacian | en |
| dc.subject.translated | superlinear | en |
| dc.subject.translated | second eigenvalue | en |
| dc.subject.translated | least energy nodal solution | en |
| dc.subject.translated | nodal set | en |
| dc.subject.translated | Payne conjecture | en |
| dc.subject.translated | polarization. | en |
| dc.identifier.doi | 10.1017/prm.2018.88 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 487465600004 | |
| dc.identifier.obd | 43927907 | |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| Vyskytuje se v kolekcích: | Články / Articles (NTIS) OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| Bobkov, Kolonitskii, Published, 2019.pdf | 281,06 kB | Adobe PDF | Zobrazit/otevřít Vyžádat kopii |
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