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\centerline{\scshape Michael Filippakis\footnote{The publication of this paper has been partly supported by the University of Piraeus Research Center}}
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\centerline{Department of Digital Systems }
\centerline{Univeristy of Piraeus}
\centerline{Piraeus 18536, Greece}
}
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{\bfseries Abstract.}\footnote{The publication of this paper has been partly supported by the University of Piraeus Research Center}}
We consider a semilinear Robin problem driven by the negative Laplacian plus an indefinite, unbounded potential. The reaction term is a Caratheodory function of arbitrary structure outside an interval $[-c,c]$ ($c>0$), odd on $[-c,c]$ and concave near zero. Using a variant of the symmetric mountain pass theorem, together with truncation, perturbation and comparison techniques, we show that the problem has a whole sequence $\{u_n\}_{n\geq 1}$ of distinct nodal solutions converging to zero in $C^1(\overline{\Omega}).$
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