Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth
| dc.contributor.author | Zhang, Bo | |
| dc.contributor.author | Liu, Xiangqing | |
| dc.date.accessioned | 2023-04-12T15:37:04Z | |
| dc.date.available | 2023-04-12T15:37:04Z | |
| dc.date.issued | 2022-02-10 | |
| dc.description.abstract | In this article, we study the existence of localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth -ɛp Δpv + V(x)|v|p-2v = ɛα-N |v|q-2v ∫ℝN |v(y)|q/ |x - y|α dy, x ∈ ℝN, where N ≥ 3, 1 < p < N, 0 < α < min{2p, N - 1}, p < q < p*α, p*α = p(2N - α)/ 2(N - p), V is a bounded function. By the perturbation method and the method of invariant sets of descending flow, for small ɛ we establish the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function V. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, B., & Liu, X. (2022). Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth. <i>Electronic Journal of Differential Equations, 2022</i>(11), pp. 1-29. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16558 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quasilinear Choquard equation | |
| dc.subject | Nodal solutions | |
| dc.subject | Perturbation method | |
| dc.title | Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth | |
| dc.type | Article |