Solvability of fractional boundary value problem with p -Laplacian via critical point theory

Boundary value problems

Taiyong Chen¹  Wenbin Liu¹ 

[1] Department of Mathematics, China University of Mining and Technology, Xuzhou, P.R. China

关键词: fractional differential equation;    p-Laplacian;    boundary value problem;    critical point theory;    26A33;    34B15;    58E05;   

DOI  :  10.1186/s13661-016-0583-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the fractional boundary value problem containing left and right fractional derivative operators and p-Laplacian. By using critical point theory we obtain some results on the existence of weak solutions of such a fractional boundary value problem.

【 授权许可】

CC BY