| Autor: |
Xiaohui Wang, Peihao Zhao |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2020, Iss 52,, Pp 1-21 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article, we study the existence of the weak solution for superlinear elliptic equations and systems without the Ambrosetti-Rabinowitz condition. The Ambrosetti-Rabinowitz condition guarantees the boundedness of the PS sequence of the functional I for the corresponding problem. We establish the existence of the weak solution for the superlinear elliptic equation by using $(PS)_c$ form of the Mountain pass lemma, and the existence of the weak solution for the superlinear elliptic system by using $(PS)_c^{*}$ form of the Linking theorem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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