Ground state solutions for Choquard type equations with a singular potential
| dc.contributor.author | Wang, Tao | |
| dc.date.accessioned | 2022-03-30T18:14:25Z | |
| dc.date.available | 2022-03-30T18:14:25Z | |
| dc.date.issued | 2017-02-21 | |
| dc.description.abstract | This article concerns the Choquard type equation -∆u + V(x)u = (∫ℝN |u(y)|p/ |x-y|N-α dy) |u|p-2u, x ∈ ℝN, where N ≥ 3, α ∈ ((N - 4)+, N), 2 ≤ p < (N + α)/(N - 2) and V(x) is a possibly singular potential and may be unbounded below. Applying a variant of the Lions' concentration-compactness principle, we prove the existence of ground state solution of the above equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, T. (2017). Ground state solutions for Choquard type equations with a singular potential. <i>Electronic Journal of Differential Equations, 2017</i>(52), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15578 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Choquard equation | |
| dc.subject | Singular potential | |
| dc.subject | Ground state solution | |
| dc.subject | Lions' concentration-compactness principle | |
| dc.title | Ground state solutions for Choquard type equations with a singular potential | |
| dc.type | Article |