Full metadata record
DC pole | Hodnota | Jazyk |
---|---|---|
dc.contributor.author | Bobkov, Vladimír | |
dc.contributor.author | Kolonitskii, Sergey | |
dc.date.accessioned | 2020-05-25T10:00:10Z | - |
dc.date.available | 2020-05-25T10:00:10Z | - |
dc.date.issued | 2020 | |
dc.identifier.citation | BOBKOV, V. ., KOLONITSKII, S. . On qualitative properties of solutions for elliptic problems with the p-Laplacian through domain perturbations. Communications in partial differential equations, 2020, roč. 45, č. 3, s. 230-252. ISSN 0360-5302. | en |
dc.identifier.issn | 0360-5302 | |
dc.identifier.uri | 2-s2.0-85074414532 | |
dc.identifier.uri | http://hdl.handle.net/11025/36953 | |
dc.description.abstract | We study the dependence of least nontrivial critical levels of the energy functional corresponding to the zero Dirichlet problem −Δ_p u=f(u) in a bounded domain Ω⊂R^N upon domain perturbations. Assuming that the nonlinearity f is superlinear and subcritical, we establish Hadamard-type formulas for such critical levels. As an application, we show that among all (generally eccentric) spherical annuli Ω least nontrivial critical levels attain maximum if and only if Ω is concentric. As a consequence of this fact, we prove the nonradiality of least energy nodal solutions whenever Ω is a ball or concentric annulus. | en |
dc.format | 23 s. | cs |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | Taylor & Francis | en |
dc.relation.ispartofseries | Communications In Partial Differential Equations | en |
dc.rights | Plný text není přístupný. | cs |
dc.rights | © Taylor & Francis | en |
dc.title | On qualitative properties of solutions for elliptic problems with the p-Laplacian through domain perturbations | en |
dc.type | článek | cs |
dc.type | article | en |
dc.rights.access | closedAccess | en |
dc.type.version | publishedVersion | en |
dc.subject.translated | p-Laplacian | en |
dc.subject.translated | superlinear nonlinearity | en |
dc.subject.translated | domain derivative | en |
dc.subject.translated | shape optimization | en |
dc.subject.translated | Hadamard formula | en |
dc.subject.translated | Nehari manifold | en |
dc.subject.translated | least energy solution | en |
dc.subject.translated | nodal solution | en |
dc.subject.translated | nonradiality. | en |
dc.identifier.doi | 10.1080/03605302.2019.1670674 | |
dc.type.status | Peer-reviewed | en |
dc.identifier.document-number | 491846000001 | |
dc.identifier.obd | 43929008 | |
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-2020.pdf | 2,11 MB | Adobe PDF | Zobrazit/otevřít Vyžádat kopii |
Použijte tento identifikátor k citaci nebo jako odkaz na tento záznam:
http://hdl.handle.net/11025/36953
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