中国科学院研究生院学报2012，Vol.29Issue(5)：577-585,9.
一类含Hardy项的三维Kirchhoff型问题的两个正解
Multiple positive solutions for a three-dimensional Kirchhoff-type problem with a Hardy term
摘要
Abstract
We investigate the following three-dimensional Kirchhoff-type problem {-{a + b∣Ω ∣▽u ∣2dχ)△u = ∣ u∣q-1u+λ ∣χ∣s/∣u∣p-2u, χ ∈ Ω, u = 0 χ ∈ δΩ 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 α, 6 , λ > 0. We have established the existence of multiple positive solutions to the problem by using variational methods.关键词
Kirchhoff型问题/Hardy项/Nehari流形/正解Key words
Kirchhoff-type problem/ Hardy term/ Nehari manifold/ positive solutions分类
数理科学引用本文复制引用
刘星,孙义静..一类含Hardy项的三维Kirchhoff型问题的两个正解[J].中国科学院研究生院学报,2012,29(5):577-585,9.基金项目
中国科学院研究生院院长基金资助 （）
