INFINITELY MANY POSITIVE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS

被引：3

作者：

Ge, Bin ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Zhang, Ji-Chun ^{[1
]}

机构：

[1] Harbin Engn Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Romanian Acad, Inst Math Simion Stoilow, 21 Calea Grivitei, Bucharest 010702, Romania

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2017年 / 49卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional differential equation; oscillatory nonlinearities; infinitely many solutions; variational methods; EXISTENCE;

D O I：

10.12775/TMNA.2017.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with the qualitative analysis of solutions of a class of fractional boundary value problems with Dirichlet boundary conditions. By combining a direct variational approach with the theory of the fractional derivative spaces, we establish the existence of infinitely many distinct positive solutions whose E-alpha-norms and L-infinity-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).

引用

页码：647 / 664

页数：18

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