Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
Abstract We deal with the nonlinear Schrödinger equation -Δu + V(x)u = f(u) in ℝ N , where V is a (possible) sign changing potential satisfying mild assumptions and the nonlinearity f ∈ C 1 (ℝ, ℝ) is a subcritical and superlinear function. By combining variational techniques and the concentration-compactness …