Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection
| dc.contributor.author | Vetro, Francesca | |
| dc.contributor.author | Winkert, Patrick | |
| dc.date.accessioned | 2023-01-25T09:10:45Z | |
| dc.date.available | 2023-01-25T09:10:45Z | |
| dc.date.issued | 2022-07-06 | |
| dc.description.abstract | In this paper we study anisotropic weighted (p, q)-equations with a parametric right-hand side depending on the gradient of the solution. Under very general assumptions on the data and by using a topological approach, we prove existence and uniqueness results and study the asymptotic behavior of the solutions when both the q(⋅)-Laplacian on the left-hand side and the reaction term are modulated by a parameter. Moreover, we present some properties of the solution sets with respect to the parameters. | en |
| dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2022 | |
| dc.identifier.eissn | 1432-0606 | |
| dc.identifier.issn | 0095-4616 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/18063 | |
| dc.identifier.uri | https://doi.org/10.14279/depositonce-16855 | |
| dc.language.iso | en | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | anisotropic eigenvalue problem | en |
| dc.subject.other | anisotropic (p, q)-Laplace differential operator | en |
| dc.subject.other | asymptotic behavior | en |
| dc.subject.other | convection term | en |
| dc.subject.other | gradient dependence | en |
| dc.subject.other | pseudomonotone operators | en |
| dc.subject.other | uniqueness | en |
| dc.title | Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection | en |
| dc.type | Article | |
| dc.type.version | publishedVersion | |
| dcterms.bibliographicCitation.articlenumber | 18 | |
| dcterms.bibliographicCitation.doi | 10.1007/s00245-022-09892-x | |
| dcterms.bibliographicCitation.journaltitle | Applied Mathematics and Optimization | |
| dcterms.bibliographicCitation.originalpublishername | Springer Nature | |
| dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | |
| dcterms.bibliographicCitation.volume | 86 | |
| dcterms.rightsHolder.reference | Creative-Commons-Lizenz | |
| tub.accessrights.dnb | free | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::N/A (Not Applicable) | |
| tub.publisher.universityorinstitution | Technische Universität Berlin |