文摘
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite potential and with a Carathéodory reaction f(z,x) with no growth restriction on the x-variable. We only assume that 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.