Bin Ge, Jian-Fang Lu, Ting-Ting Zhao, Kang Zhou
Abstract:
In this article, by means of a direct variational
approach and the theory of the fractional differential space, we
prove the existence of a nontrivial solution
for superlinear fractional boundary value problems without Ambrosetti
and Rabinowitz condition.
Submitted February 23, 2017. Published April 10, 2018.
Math Subject Classifications: 35J20, 35J70, 35R20.
Key Words: Fractional differential equations; pseudo-gradient;
nontrivial solutions; critical point.
Show me the PDF file (247 KB), TEX file for this article.
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Bin Ge Department of Applied Mathematics Harbin Engineering University, China email: gebin791025@hrbeu.edu.cn |
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| Jian-Fang Lu Department of Applied Mathematics Harbin Engineering University, China email: 1176678630@qq.com | |
| Ting-Ting Zhao Department of Applied Mathematics Harbin Engineering University, China email: 1659944641@qq.com | |
| Kang Zhou Department of Applied Mathematics Harbin Engineering University, China email: 992983801@qq.com |
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