| Volume 8, Number 1, 2018, Pages 66-80 DOI：10.11948/2018.66 |
| Homoclinic solutions for fourth order differential equations with superlinear nonlinearities |
| Ziheng Zhang,Zhisu Liu |
| Keywords:Homoclinic solutions, critical point, variational methods, fountain theorem. |
| Abstract: |
| In this paper we investigate the existence of homoclinic solutions for a class of fourth order differential equations with superlinear nonlinearities. Under some superlinear conditions weaker than the well-known (AR) condition, by using the variant fountain theorem, we establish one new criterion to guarantee the existence of infinitely many homoclinic solutions. |
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