Chen Zigao: 1/2-Laplacian problem with logarithmic and exponential nonlinearities. (2023)
![[thumbnail of ejqtde_2023_037.pdf]](http://acta.bibl.u-szeged.hu/style/images/fileicons/full.png) |
Teljes mű
ejqtde_2023_037.pdf Download (475kB) |
Abstract
In this paper, based on a suitable fractional Trudinger-–Moser inequality, we establish sufficient conditions for the existence result of least energy sign-changing solution for a class of one-dimensional nonlocal equations involving logarithmic and exponential nonlinearities. By using a main tool of constrained minimization in Nehari manifold and a quantitative deformation lemma, we consider both subcritical and critical exponential growths. This work can be regarded as the complement for some results of the literature.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 37 |
| ISSN: | 1417-3875 |
| Number of Pages: | 19 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.37 |
| Uncontrolled Keywords: | Laplace-egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 17-19. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 15:07 |
| Last Modified: | 2023. Nov. 16. 15:07 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82287 |
Actions (login required)
 |
View Item |
