Multiple solutions for a coercive quasilinear elliptic equation via Morse theory
Abstract We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-021-01494-w |
| _version_ | 1818923466973249536 |
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| author | Lifang Fu Mingzheng Sun |
| author_facet | Lifang Fu Mingzheng Sun |
| author_sort | Lifang Fu |
| collection | DOAJ |
| description | Abstract We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities. |
| first_indexed | 2024-12-20T02:09:53Z |
| format | Article |
| id | doaj.art-577ea6045f0345b6bba2085afd4ab498 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-20T02:09:53Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-577ea6045f0345b6bba2085afd4ab4982022-12-21T19:57:05ZengSpringerOpenBoundary Value Problems1687-27702021-02-01202111810.1186/s13661-021-01494-wMultiple solutions for a coercive quasilinear elliptic equation via Morse theoryLifang Fu0Mingzheng Sun1Faculty of Science, Henan University of Animal Husbandry and EconomyCollege of Sciences, North China University of TechnologyAbstract We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.https://doi.org/10.1186/s13661-021-01494-wQuasilinear elliptic equationsResonantMorse theory |
| spellingShingle | Lifang Fu Mingzheng Sun Multiple solutions for a coercive quasilinear elliptic equation via Morse theory Boundary Value Problems Quasilinear elliptic equations Resonant Morse theory |
| title | Multiple solutions for a coercive quasilinear elliptic equation via Morse theory |
| title_full | Multiple solutions for a coercive quasilinear elliptic equation via Morse theory |
| title_fullStr | Multiple solutions for a coercive quasilinear elliptic equation via Morse theory |
| title_full_unstemmed | Multiple solutions for a coercive quasilinear elliptic equation via Morse theory |
| title_short | Multiple solutions for a coercive quasilinear elliptic equation via Morse theory |
| title_sort | multiple solutions for a coercive quasilinear elliptic equation via morse theory |
| topic | Quasilinear elliptic equations Resonant Morse theory |
| url | https://doi.org/10.1186/s13661-021-01494-w |
| work_keys_str_mv | AT lifangfu multiplesolutionsforacoercivequasilinearellipticequationviamorsetheory AT mingzhengsun multiplesolutionsforacoercivequasilinearellipticequationviamorsetheory |