Abstract
In this paper, we are interested in the study of the following problem with Navier boundary conditions
where Ω is a smooth bounded domain in
,
, the potential V is in some generalized Sobolev space, and
are continuous functions. The main tools used here are based on the variational method combined with the Mountain Pass theorem and Ekeland variational principle.
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Acknowledgment
I would like to thank the anonymous referee for a series of careful reading, remarks, useful comments and valuable suggestions that enabled us essentially to improve this manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).