Multiple positive solutions for nonlocal problems involving a sign-changing potential
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Date
2017-01-10
Authors
Lei, Chun-Yu
Liao, Jia-Feng
Suo, Hong-Min
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
nonlocal problem, variational method, sign-changing potential, positive solution
Citation
Lei, 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.
Rights
Attribution 4.0 International