Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation
In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2021-03-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/20564 |
| _version_ | 1818337320840986624 |
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| author | Lin Li Donal O’Regan |
| author_facet | Lin Li Donal O’Regan |
| author_sort | Lin Li |
| collection | DOAJ |
| description | In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno. |
| first_indexed | 2024-12-13T14:53:21Z |
| format | Article |
| id | doaj.art-f0c6b99e399d46a89d3aeacac0c6ec1c |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:53:21Z |
| publishDate | 2021-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-f0c6b99e399d46a89d3aeacac0c6ec1c2022-12-21T23:41:17ZengVilnius University PressNonlinear Analysis1392-51132335-89632021-03-0126210.15388/namc.2021.26.20564Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbationLin Li0Donal O’Regan1Chongqing Technology and Business UniversityNational University of IrelandIn this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.https://www.journals.vu.lt/nonlinear-analysis/article/view/20564critical growthbiharmonic operatorvariational methodslocal minimum |
| spellingShingle | Lin Li Donal O’Regan Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation Nonlinear Analysis critical growth biharmonic operator variational methods local minimum |
| title | Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| title_full | Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| title_fullStr | Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| title_full_unstemmed | Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| title_short | Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| title_sort | fourth order elliptic problems with critical nonlinearities by a sublinear perturbation |
| topic | critical growth biharmonic operator variational methods local minimum |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/20564 |
| work_keys_str_mv | AT linli fourthorderellipticproblemswithcriticalnonlinearitiesbyasublinearperturbation AT donaloregan fourthorderellipticproblemswithcriticalnonlinearitiesbyasublinearperturbation |