文摘
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite potential and with a Carathéodory reaction k to view the MathML source">f(z,x) with no growth restriction on the k to view the MathML source">x-variable. We only assume that k to view the MathML source">f(z,⋅) is odd and superlinear near zero. Using a variant of the symmetric mountain pass theorem, we show that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one.