Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958664 | Computers & Mathematics with Applications | 2016 | 13 Pages |
Abstract
In this paper, we investigate a class of Kirchhoff type problem involving a critical nonlinearity â(1+bâ«Î©|âu|2dx)â³u=λu+|u|4u,uâH01(Ω), where b>0, λ>λ1, λ1 is the principal eigenvalue of (ââ³,H01(Ω)). With the help of the Nehari manifold, we obtain the multiplicity of positive solutions for λ in a small right neighborhood of λ1 and prove that one of the solutions is a positive ground state solution, which is different from the result of Brézis-Nirenberg in 1983. This paper can be regarded as the complementary work of Naimen (2015).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xiao-Jing Zhong, Chun-Lei Tang,