On the Schrodinger equation in R^N under the effect of a general nonlinear term

2008/02/13 by Azzollini, Antonio, Pomponio, Alessio
#35J60 #58E05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0802.1844

Abstract

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

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