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Multiple solutions for Dirichlet impulsive equations
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DOI：10.1515/anona-2014-0023.png)
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Abstract
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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.
Keywords:
Three solutions
Dirichlet boundary value problems with impulsive effects
critical point theory
variational methods
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