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Some results on the p(u)-Laplacian problem
| dc.contributor.author | Chipot, M. | |
| dc.contributor.author | de Oliveira, H. B. | |
| dc.date.accessioned | 2020-07-24T10:51:34Z | |
| dc.date.available | 2020-07-24T10:51:34Z | |
| dc.date.issued | 2019-10 | |
| dc.description.abstract | The p-Laplacian problem with the exponent of nonlinearity p depending on the solution u itself is considered in this work. Both situations when p(u) is a local quantity or when p(u) is nonlocal are studied here. For the associated boundary-value local problem, we prove the existence of weak solutions by using a singular perturbation technique. We also prove the existence of weak solutions to the nonlocal version of the associated boundary-value problem. The issue of uniqueness for these problems is addressed in this work as well, in particular by working out the uniqueness for a one dimensional local problem and by showing that the uniqueness is easily lost in the nonlocal problem. | |
| dc.description.sponsorship | Ministry of Education and Science of the Russian Federation Ministry of Education and Science, Russian Federation | |
| dc.description.sponsorship | Portuguese Foundation for Science and Technology (FCT), PortugalPortuguese Foundation for Science and Technology [SFRH/BSAB/135242/2017] | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1007/s00208-019-01803-w | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.issn | 1432-1807 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14242 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer | |
| dc.title | Some results on the p(u)-Laplacian problem | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 306 | |
| oaire.citation.issue | 01-fev | |
| oaire.citation.startPage | 283 | |
| oaire.citation.title | Mathematische Annalen | |
| oaire.citation.volume | 375 | |
| person.familyName | Borges de Oliveira | |
| person.givenName | Hermenegildo | |
| person.identifier.ciencia-id | 4A15-7156-6A00 | |
| person.identifier.orcid | 0000-0001-9053-8442 | |
| person.identifier.rid | F-3186-2014 | |
| person.identifier.scopus-author-id | 7004475473 | |
| rcaap.rights | restrictedAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 |
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