Existence of homoclinic solutions for a class of second order p -Laplacian systems with impulsive effects

Boundary value problems

Li Li¹  Kai Chen¹ 

[1] Faculty of Science, Guilin University of Aerospace Technology, Guilin, P.R. China

关键词: existence;    homoclinic solutions;    variational methods;    critical point;    impulsive effects;   

DOI  :  10.1186/s13661-014-0220-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence argument, and a weak version of Lieb’s lemma. MSC: 34C37, 35A15, 37J45, 47J30.

【 授权许可】

CC BY