(p, q)-equations with singular and concave convex nonlinearities
| dc.contributor.author | Papageorgiou, Nikolaos S. | |
| dc.contributor.author | Winkert, Patrick | |
| dc.date.accessioned | 2021-03-15T11:13:05Z | |
| dc.date.available | 2021-03-15T11:13:05Z | |
| dc.date.issued | 2020-09-29 | |
| dc.description.abstract | We consider a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian with 1 < q < p . The reaction is parametric and exhibits the competing effects of a singular term and of concave and convex nonlinearities. We are looking for positive solutions and prove a bifurcation-type theorem describing in a precise way the set of positive solutions as the parameter varies. Moreover, we show the existence of a minimal positive solution and we study it as a function of the parameter. | en |
| dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2020 | en |
| dc.identifier.eissn | 1432-0606 | |
| dc.identifier.issn | 0095-4616 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/12822 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-11622 | |
| dc.language.iso | en | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | minimal positive solution | en |
| dc.subject.other | nonlinear maximum principle | en |
| dc.subject.other | nonlinear regularity theory | en |
| dc.subject.other | singular and concave-convex terms | en |
| dc.subject.other | strong comparison theorems | en |
| dc.title | (p, q)-equations with singular and concave convex nonlinearities | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1007/s00245-020-09720-0 | en |
| dcterms.bibliographicCitation.journaltitle | Applied Mathematics and Optimization | en |
| dcterms.bibliographicCitation.originalpublishername | SpringerNature | en |
| dcterms.bibliographicCitation.originalpublisherplace | London [u.a.] | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
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