Multiple solutions for Dirichlet impulsive equations

doi:10.1515/anona-2014-0023

Multiple solutions for Dirichlet impulsive equations

2014-08-19

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DOI：10.1515/anona-2014-0023

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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.

Keyword:

Three solutions

Dirichlet boundary value problems with impulsive effects

critical point theory

variational methods

Multiple solutions for Dirichlet impulsive equations

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