INFINITELY MANY POSITIVE SOLUTIONS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS

被引：0

作者：

Bin, Ge ^{[1
]}

Cui, Ying-Xin ^{[1
]}

Zhang, Ji-Chun ^{[1
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Fractional differential inclusions; oscillatory nonlinearities; infinitely many solutions; variational methods; nonsmooth critical point theory; BOUNDARY-VALUE-PROBLEMS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 F at zero or at infinity.

引用

页数：18

共 22 条

[1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[2] [Anonymous], 1986, CBMS REG C SER MATH
[3] [Anonymous], 2015, Electron. J. Differ. Equ
[4] Fractional Navier boundary value problems
Bachar, Imed
Maagli, Habib
Radulescu, Vicentiu D.
[J]. BOUNDARY VALUE PROBLEMS, 2016, : 1 - 14
[5] Bisci GM, 2016, ENCYCLOP MATH APPL, V162
[6] On doubly nonlocal fractional elliptic equations
Bisci, Giovanni Molica
Repovs, Dusan
[J]. RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2015, 26 (02) : 161 - 176
[7] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS
CHANG, KC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) : 102 - 129
[8] Some new existence results for fractional differential inclusions with boundary conditions
Chang, Yong-Kui
Nieto, Juan J.
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 605 - 609
[9] Chen J., 2012, ABSTR APPL ANAL, V2012, P1
[10] Chen J, 2013, B MALAYS MATH SCI SO, V36, P1083

← 1 2 3 →