Multiple solutions for Dirichlet impulsive equations

Advances in Nonlinear Analysis

article

Massimiliano Ferrara¹  Shapour Heidarkhani²  Pasquale F. Pizzimenti¹ 

[1] Department of Law and Economics, University Mediterranea of Reggio Calabria;Department of Mathematics, Faculty of Sciences, Razi University

关键词: Three solutions;    Dirichlet boundary value problems with impulsive effects;    critical point theory;    variational methods;   

DOI  :  10.1515/anona-2014-0023

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In this paper we are interested to ensure the existence of multiple nontrivial solutions for some classes of problems under Dirichlet boundary conditions with impulsive effects. More precisely, by using a suitable analytical setting, the existence of at least three solutions is proved exploiting a recent three-critical points result for smooth functionals defined in a reflexive Banach space. Our approach generalizes some well-known results in the classical framework.

【 授权许可】

CC BY