Variational approach to non-instantaneous impulsive differential equations with p " role="presentation" style="position: relative;"> p p p -Laplacian operator

AIMS Mathematics

article

Wangjin Yao¹ 

[1] Key Laboratory of Applied Mathematics of Fujian Province University, School of Mathematics and Finance, Putian University

关键词: Dirichlet boundary value problem;    $ p $-Laplacian differential equations;    non-instantaneous impulse;    variational methods;    critical point theory;   

DOI  :  10.3934/math.2022951

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we consider the existence, multiplicity and nonexistence of solutions for a class of $ p $-Laplacian differential equations with non-instantaneous impulses. By using variational methods and critical point theory, we obtain that the impulsive problem has at least one nontrivial solution, at least two nontrivial solutions and no nontrivial solution.

【 授权许可】

CC BY