Multiple positive solutions for nonlocal problems involving a sign-changing potential
| dc.contributor.author | Lei, Chun-Yu | |
| dc.contributor.author | Liao, Jia-Feng | |
| dc.contributor.author | Suo, Hong-Min | |
| dc.date.accessioned | 2022-03-11T18:47:24Z | |
| dc.date.available | 2022-03-11T18:47:24Z | |
| dc.date.issued | 2017-01-10 | |
| dc.description.abstract | In this article we show the existence and multiplicity of positive solutions for the nonlocal problem with a sign-changing weight function, -(α - b ∫Ω |∇u|2dx)∆u = ƒλ(x)|u|q-2u, in Ω, u = 0, on ∂Ω, where Ω is a smooth bounded domain in ℝ3, α, b > 0, 1 < q < 2. Our technical approach is based on the variational method. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lei, C. Y., Liao, J. F., & Suo, H. M. (2017). Multiple positive solutions for nonlocal problems involving a sign-changing potential. Electronic Journal of Differential Equations, 2017(09), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15505 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | nonlocal problem | |
| dc.subject | variational method | |
| dc.subject | sign-changing potential | |
| dc.subject | positive solution | |
| dc.title | Multiple positive solutions for nonlocal problems involving a sign-changing potential | |
| dc.type | Article |