A semilinear Schrödinger equation with zero on the boundary of the spectrum and exponential growth in ℝ2

Abstract

The main purpose of this paper is to establish the existence of solutions for the semilinear Schrodinger equation − Δu + V (x)u = f(x,u),x ∈ ℝ2, where the potential V is periodic, 0 lies on the bou...