| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617245 | Journal of Mathematical Analysis and Applications | 2012 | 8 Pages |
Abstract
In the present paper, we study the existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems {−(a+b∫Ω∣∇u∣2dx)Δu=f(x,u),inΩ;u=0,on∂Ω, where a,b>0a,b>0 are real numbers. Some new existence and multiplicity results of nontrivial solutions are obtained by means of the mountain pass theorem and a cut-off technique. One known result is improved.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bitao Cheng,