Lei, Chun-YuLiao, Jia-FengSuo, Hong-Min2022-03-112022-03-112017-01-10Lei, C. Y., Liao, J. F., & Suo, H. M. (2017). Multiple positive solutions for nonlocal problems involving a sign-changing potential. <i>Electronic Journal of Differential Equations, 2017</i>(09), pp. 1-8.1072-6691https://hdl.handle.net/10877/15505In 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.Text8 pages1 file (.pdf)enAttribution 4.0 Internationalnonlocal problemvariational methodsign-changing potentialpositive solutionArticle