Multiple solutions for Dirichlet impulsive equations

Abstract

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.

Keywords

• three solutions
• dirichlet boundary value problems with impulsive effects
• critical point theory
• variational methods
• 34b15