Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate application...
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-04-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0251 |
| _version_ | 1811280126424383488 |
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| author | Long Yuhua |
| author_facet | Long Yuhua |
| author_sort | Long Yuhua |
| collection | DOAJ |
| description | In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate applications of our results. |
| first_indexed | 2024-04-13T01:09:08Z |
| format | Article |
| id | doaj.art-9eff27f0ec284a55b0b4dd9382584feb |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-04-13T01:09:08Z |
| publishDate | 2022-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-9eff27f0ec284a55b0b4dd9382584feb2022-12-22T03:09:15ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2022-04-011111352136410.1515/anona-2022-0251Nontrivial solutions of discrete Kirchhoff-type problems via Morse theoryLong Yuhua0School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, ChinaIn this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate applications of our results.https://doi.org/10.1515/anona-2022-0251discrete kirchhoff-type problemnontrivial solutionvariational methodmorse theory39a1034b1535b38 |
| spellingShingle | Long Yuhua Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory Advances in Nonlinear Analysis discrete kirchhoff-type problem nontrivial solution variational method morse theory 39a10 34b15 35b38 |
| title | Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory |
| title_full | Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory |
| title_fullStr | Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory |
| title_full_unstemmed | Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory |
| title_short | Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory |
| title_sort | nontrivial solutions of discrete kirchhoff type problems via morse theory |
| topic | discrete kirchhoff-type problem nontrivial solution variational method morse theory 39a10 34b15 35b38 |
| url | https://doi.org/10.1515/anona-2022-0251 |
| work_keys_str_mv | AT longyuhua nontrivialsolutionsofdiscretekirchhofftypeproblemsviamorsetheory |