Triple solutions for elliptic Dirichlet problems with a parameter
In this article, we focus on triple weak solutions for nonlinear elliptic problems with Dirichlet boundary condition. We show the existence of at least three distinct weak solutions by using variational methods and a recent obtained three critical points theorem under suitable assumptions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-08-01
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| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037421000182 |
| _version_ | 1819066063984263168 |
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| author | Jian Liu Wenguang Yu |
| author_facet | Jian Liu Wenguang Yu |
| author_sort | Jian Liu |
| collection | DOAJ |
| description | In this article, we focus on triple weak solutions for nonlinear elliptic problems with Dirichlet boundary condition. We show the existence of at least three distinct weak solutions by using variational methods and a recent obtained three critical points theorem under suitable assumptions. |
| first_indexed | 2024-12-21T15:56:25Z |
| format | Article |
| id | doaj.art-b9e2a9aea39c4154879cd820b2612133 |
| institution | Directory Open Access Journal |
| issn | 2590-0374 |
| language | English |
| last_indexed | 2024-12-21T15:56:25Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj.art-b9e2a9aea39c4154879cd820b26121332022-12-21T18:58:05ZengElsevierResults in Applied Mathematics2590-03742021-08-0111100157Triple solutions for elliptic Dirichlet problems with a parameterJian Liu0Wenguang Yu1School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, 250014, China; Corresponding author.School of Insurance, Shandong University of Finance and Economics, Jinan, 250014, ChinaIn this article, we focus on triple weak solutions for nonlinear elliptic problems with Dirichlet boundary condition. We show the existence of at least three distinct weak solutions by using variational methods and a recent obtained three critical points theorem under suitable assumptions.http://www.sciencedirect.com/science/article/pii/S2590037421000182Elliptic problemsVariational methodMultiple solutions |
| spellingShingle | Jian Liu Wenguang Yu Triple solutions for elliptic Dirichlet problems with a parameter Results in Applied Mathematics Elliptic problems Variational method Multiple solutions |
| title | Triple solutions for elliptic Dirichlet problems with a parameter |
| title_full | Triple solutions for elliptic Dirichlet problems with a parameter |
| title_fullStr | Triple solutions for elliptic Dirichlet problems with a parameter |
| title_full_unstemmed | Triple solutions for elliptic Dirichlet problems with a parameter |
| title_short | Triple solutions for elliptic Dirichlet problems with a parameter |
| title_sort | triple solutions for elliptic dirichlet problems with a parameter |
| topic | Elliptic problems Variational method Multiple solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2590037421000182 |
| work_keys_str_mv | AT jianliu triplesolutionsforellipticdirichletproblemswithaparameter AT wenguangyu triplesolutionsforellipticdirichletproblemswithaparameter |