Journal of University of Chinese Academy of Sciences >
Multiple positive solutions for a three-dimensional Kirchhoff-type problem with a Hardy term
Received date: 2011-05-09
Revised date: 2011-07-04
Online published: 2012-09-15
We investigate the following three-dimensional Kirchhoff-type problem
where Ω is a smooth bounded domain in R3, 0∈Ω, 0 < q < 1, 0 ≤ s < 1, 4 < p < 2*(s)=2(3-s), parameters a,b,λ > 0. We have established the existence of multiple positive solutions to the problem by using variational methods.
Key words： Kirchhoff-type problem; Hardy term; Nehari manifold; positive solutions
LIU Xing , SUN Yi-Jing . Multiple positive solutions for a three-dimensional Kirchhoff-type problem with a Hardy term[J]. Journal of University of Chinese Academy of Sciences, 2012 , 29(5) : 577 -585 . DOI: 10.7523/j.issn.2095-6134.2012.5.001
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