On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters
| dc.contributor.author | Bobkov, Vladimír | |
| dc.contributor.author | Tanaka, Mieko | |
| dc.date.accessioned | 2020-01-13T11:00:21Z | |
| dc.date.available | 2020-01-13T11:00:21Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract-translated | We consider the Dirichlet problem for the nonhomogeneous equation -Delta pu-Delta qu=alpha |u|p-2u+beta |u|q-2u+f(x) in a bounded domain, where p not equal q, and alpha,beta is an element of R are parameters. We explore assumptions on alpha and beta that guarantee the resolvability of the considered problem. Moreover, we introduce several curves on the (alpha,beta)-plane allocating sets of parameters for which the problem has or does not have positive or sign-changing solutions, provided f is of a constant sign. | en |
| dc.format | 23 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | BOBKOV, V., TANAKA, M. On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters. Annali di matematica pura ed applicata, 2019, roč. 198, č. 5, s. 1651-1673. ISSN 0373-3114. | en |
| dc.identifier.document-number | 492034000010 | |
| dc.identifier.doi | 10.1007/s10231-019-00836-x | |
| dc.identifier.issn | 0373-3114 | |
| dc.identifier.obd | 43927905 | |
| dc.identifier.uri | 2-s2.0-85061742638 | |
| dc.identifier.uri | http://hdl.handle.net/11025/36211 | |
| dc.language.iso | en | en |
| dc.project.ID | GA18-03253S/Diferenciální rovnice se speciálními typy nelinearit | cs |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.publisher | Springer | en |
| dc.relation.ispartofseries | Annali Di Matematica Pura Ed Applicata | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © Springer Verlag | en |
| dc.rights.access | closedAccess | en |
| dc.subject.translated | (p, q)-Laplacian | en |
| dc.subject.translated | Fredholm alternative | en |
| dc.subject.translated | Existence of solutions | en |
| dc.subject.translated | Positive solutions | en |
| dc.subject.translated | Maximum principle | en |
| dc.subject.translated | Linking method. | en |
| dc.title | On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |