Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842362 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
In this paper, we show the existence of infinite solutions to the Kirchhoff type quasilinear elliptic equation [M(∫Ω(∣∇u∣p+λ(x)∣u∣p)dx)]p−1(−Δpu+λ(x)∣u∣p−2u)=f(x,u) in a smooth bounded domain Ω⊂RNΩ⊂RN with nonlinear boundary condition ∣∇u∣p−2∂u∂ν=η∣u∣p−2 on ∂Ω∂Ω. The method we used here is based on “Fountain Theorem” and “Dual Fountain Theorem”.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Duchao Liu,