Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
Abstract:
In this article, we study a class of fractional differential
inclusions problem. By nonsmooth variational methods and the theory
of the fractional derivative spaces, we establish the existence of
infinitely many positive solutions of the problem under suitable
oscillatory assumptions on the potential
at zero or at infinity.
Submitted March 2, 2016. Published July 24, 2016.
Math Subject Classifications: 35A15, 34B15, 58E05, 26A33.
Key Words: Fractional differential inclusions; oscillatory nonlinearities;
infinitely many solutions; variational methods;
nonsmooth critical point theory.
Show me the PDF file (276 KB), TEX file for this article.
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Ge Bin Department of Applied Mathematics Harbin Engineering University Harbin 150001, China email: gebin791025@hrbeu.edu.cn |
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Ying-Xin Cui Department of Applied Mathematics Harbin Engineering University Harbin 150001, China email: 605495064@qq.com |
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Ji-Chun Zhang Department of Applied Mathematics Harbin Engineering University Harbin 150001, China email: 986799294@qq.com |
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