Multiple positive solutions for a class of variational systems
Topological Methods in Nonlinear Analysis, ISSN: 1230-3429, Vol: 50, Issue: 1, Page: 1-8
2017
- 2Usage
- 1Captures
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Metrics Details
- Usage2
- Abstract Views2
- Captures1
- Readers1
Article Description
We consider the variational system −∆u = λ(∇F)(u) in Ω, u = 0 on ∂Ω, where Ω is a bounded region in ℝ (m ≥ 1) with C boundary, λ is a positive parameter, u: Ω → ℝ (N > 1), and ∆ denotes the Laplace operator. Here F: ℝ → ℝ is a function of class C. Using variational methods, we show how changes in the sign of F lead to multiple positive solutions.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85030105352&origin=inward; http://dx.doi.org/10.12775/tmna.2017.016; http://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2017.016; http://apcz.umk.pl/czasopisma/index.php/TMNA/article/viewFile/13672/12298; https://digitalscholarship.unlv.edu/math_fac_articles/74; https://digitalscholarship.unlv.edu/cgi/viewcontent.cgi?article=1074&context=math_fac_articles; https://dx.doi.org/10.12775/tmna.2017.016; https://apcz.umk.pl/TMNA/article/view/TMNA.2017.016
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
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