article

Title: On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term

Authors: A. Azzollini and A. Pomponio

Issue: Volume 58 (2009), Issue 3, 1361-1378

Abstract:

$In this paper we prove the existence of a positive solution to the equation $-\Delta u + V(x)u = g(u)$ in $\RN,$ assuming the general hypotheses on the nonlinearity introduced by Berestycki and Lions. Moreover we show that a minimizing problem, related to the existence of a ground state, has no solution.$