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Rafik GUEFAIFIA
Public Documents
1
Multiplicity of Homoclinic solutions for fractional discrete $p-$Laplacian equations
Jiabin Zuo
and 3 more
January 31, 2024
In this study, we investigate the existence and multiplicity of solutions for a fractional discrete $p-$ Laplacian equation on $ \mathbb{Z} $, via the mountain pass lemma and Ekeland’s variational principle. Under suitable hypotheses on functions $V$ and $f$, we prove that this equation admits at least two nonnegative and nontrivial homoclinic solutions when the real parameter $\lambda >0$ is large enough.