Multiple solutions for nonhomogeneous Choquard equations
| dc.contributor.author | Wang, Lixia | |
| dc.date.accessioned | 2022-03-09T19:13:45Z | |
| dc.date.available | 2022-03-09T19:13:45Z | |
| dc.date.issued | 2018-10-17 | |
| dc.description.abstract | In this article, we consider the multiple solutions for the nonhomogeneous Choquard equations -∆u + u = (1/|x|α ∗ |u|p)|u|p-2 u + h(x), x ∈ ℝN, and -∆u = (1/|x|α ∗ |u|2*α)|u|2*α-2u + h(x), x ∈ ℝN, where N ≥ 3, 0 < α < N, 2 - α/N < p < 2*α = 2N-α/N-2. Under suitable assumptions on h, we obtain at least two solutions on the subcritical case 2 - α/N < p < 2*α and on the critical case p = 2*α. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 27 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, L. (2018). Multiple solutions for nonhomogeneous Choquard equations. <i>Electronic Journal of Differential Equations, 2018</i>(172), pp. 1-27. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15468 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Choquard equation | |
| dc.subject | Nonhomogeneous | |
| dc.subject | Critical exponent | |
| dc.title | Multiple solutions for nonhomogeneous Choquard equations | |
| dc.type | Article |