Juntao Sun, Yongbao Ji, Tsung-Fang Wu
In this article, we study a Kirchhoff type problem with a positive parameter ,
where is a continuous function and is a -Caratheodory function. Under suitable assumptions on K(t) and f(x,u), we obtain the existence of infinitely many solutions depending on the real parameter . Unlike most other papers, we do not require any symmetric condition on the nonlinear term . Our proof is based on variational methods.
Submitted November 11, 2015. Published August 17, 2016.
Math Subject Classifications: 35B09, 35J20.
Key Words: Infinitely many solutions; Kirchhoff type problem; variational method.
An addendum was posted on September 29, 2016. It corrects Theorems 3.1 and 3.3. See the last three pages of this article.
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| Juntao Sun |
College of Science
Nanjing 210098, China
| Yongbao Ji |
Institute of Finance and Economics
Shanghai University of Finance and Economics
Shanghai 200433, China
| Tsung-fang Wu |
Department of Applied Mathematics
National University of Kaohsiung
Kaohsiung 811, Taiwan
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