Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition
| dc.contributor.author | Wang, Xiaohui | |
| dc.contributor.author | Zhao, Peihao | |
| dc.date.accessioned | 2021-09-29T18:07:09Z | |
| dc.date.available | 2021-09-29T18:07:09Z | |
| dc.date.issued | 2020-05-27 | |
| dc.description.abstract | 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, X., & Zhao, P. (2020). Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition. <i>Electronic Journal of Differential Equations, 2020</i>(52), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14559 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Superlinear elliptic system | |
| dc.subject | Weak solution | |
| dc.subject | Mountain pass lemma | |
| dc.subject | Linking theorem | |
| dc.title | Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition | |
| dc.type | Article |