Existence of solutions for a coupled system of fractional p -Laplacian equations at resonance

Advances in Difference Equations

Zhigang Hu¹  Jiaying Liu¹  Wenbin Liu¹ 

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

关键词: fractional p-Laplacian equation;    coupled system;    boundary value problem;    degree theory;    resonance;   

DOI  :  10.1186/1687-1847-2013-312

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using the extension of Mawhin’s continuation theorem due to Ge, we study the existence of solutions for a coupled system of fractional p-Laplacian equations at resonance. A new result on the existence of solutions for a fractional boundary value problem is obtained. MSC:34B15.

【 授权许可】

CC BY