Abstract
In this paper, we consider a class of -Laplacian problems of the form:
where
,
is a bounded domain with Lipschitz boundary
is outer unit normal derivative. The functions a, b, p, q, g and f are assumed to satisfy suitable assymptions. The existence and the multiplicity of solutions is obtained by using variational methods, and mountain pass lemma combined with Ekeland variational principle.
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Acknowledgments
The authors would like to thank the anonymous referees for the valuable suggestions and comments which improved the quality of this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).