Multiple solutions for a Schrödinger type equation with an asymptotically linear term Original Research Article

We study the nonlinear Schrödinger type equation View the MathML source on the whole space View the MathML source. The nonlinearity f is assumed to be asymptotically linear and g(x)⩾0 has a potential well. Using results from critical point theory, we show how the behavior of f near zero and at infinity affects the number of solutions.