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.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. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15505 | |
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, 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.format | Text | |
dc.format.extent | 8 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.language.iso | en | en_US |
dc.publisher | Texas State University, Department of Mathematics | en_US |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Nonlocal problem | en_US |
dc.subject | Variational method | en_US |
dc.subject | Sign-changing potential | en_US |
dc.subject | Positive solution | en_US |
dc.title | Multiple positive solutions for nonlocal problems involving a sign-changing potential | en_US |
dc.type | publishedVersion | |
txstate.documenttype | Article | |
dc.rights.license | ![]() This work is licensed under a Creative Commons Attribution 4.0 International License. |