ABSTRACT
We study a semilinear Robin problem driven by the Laplacian plus an indefinite potential. We consider the case where the reaction term f is a Carathéodory function exhibiting linear growth near . So, we establish the existence of at least two solutions, by using the Lyapunov-Schmidt reduction method together with variational tools.
COMMUNICATED BY:
Acknowledgments
The author wishes to thank the editor and referees for their useful remarks.
Disclosure statement
No potential conflict of interest was reported by the author.
ORCID
C. Vetro http://orcid.org/0000-0001-5836-6847