Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Bobkov, Vladimír | |
| dc.contributor.author | Tanaka, Mieko | |
| dc.date.accessioned | 2018-10-21T10:00:13Z | |
| dc.date.available | 2018-10-21T10:00:13Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 1847-120X | |
| dc.identifier.uri | http://hdl.handle.net/11025/30449 | |
| dc.format | 12 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Ele-Math | en |
| dc.rights | © Ele-Math | en |
| dc.title | On sign-changing solutions for resonant (p,q)-Laplace equations | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | openAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | We provide two existence results for sign-changing solutions to the Dirichlet problem for the family of equations $-\Delta_p u -\Delta_q u = \alpha |u|^{p-2}u + \beta |u|^{q-2}u$, where $1<q<p$ and $\alpha$, $\beta$ are parameters. First, we show the existence in the resonant case $\alpha\in\sigma(-\Delta_p)$ for sufficiently large $\beta$, thereby generalizing previously known results. The obtained solutions have negative energy. Second, we show the existence for any $\beta \geq \lambda_1(q)$ and sufficiently large $\alpha$ under an additional nonresonant assumption, where $\lambda_1(q)$ is the first eigenvalue of the $q$-Laplacian. The obtained solutions have positive energy. | en |
| dc.subject.translated | (p,q) -Laplacian | en |
| dc.subject.translated | generalized eigenvalue problem | en |
| dc.subject.translated | nodal solutions | en |
| dc.subject.translated | linking methods | en |
| dc.subject.translated | indefinite nonlinearity. | en |
| dc.identifier.doi | 10.7153/dea-2018-10-12 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 433255300004 | |
| dc.identifier.obd | 43922718 | |
| 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 | |
|---|---|---|---|
| BobkovTanaka_Nodal_solutions2_2018.pdf | 180,46 kB | Adobe PDF | Zobrazit/otevřít |
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