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.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2021-03-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/20564 |
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Article |
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doaj-f0c6b99e399d46a89d3aeacac0c6ec1c2021-03-01T09:22:16ZengVilnius 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 Ireland 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. https://www.journals.vu.lt/nonlinear-analysis/article/view/20564critical growthbiharmonic operatorvariational methodslocal minimum |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lin Li Donal O’Regan |
| 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 |
| author_facet |
Lin Li Donal O’Regan |
| author_sort |
Lin Li |
| title |
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_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_sort |
fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2021-03-01 |
| 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.
|
| 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 |
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1724246870087172096 |