Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707483 | Applied Mathematics Letters | 2016 | 7 Pages |
Abstract
In this paper we discuss the following Kirchhoff equation in RNRN−(a+b∫|∇u|2)Δu+V(x)u=f(x,u),−(a+b∫|∇u|2)Δu+V(x)u=f(x,u), where a,b>0a,b>0 are constants and N≥3N≥3. Without any growth condition for the nonlinear term f(x,u)f(x,u) on uu at infinity, we obtain a sequence of solutions converging to zero in some Sobolev spaces.
Related Topics
Physical Sciences and Engineering
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Authors
Li-Li Wang, Zhi-Qing Han,