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 \& Lions. Moreover we show that a minimizing problem, related to the existence of a ground state, has no solution.
On the Schrodinger equation in $R^N$ under the effect of a general nonlinear term
AZZOLLINI, ANTONIO;
2009-01-01
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 \& Lions. Moreover we show that a minimizing problem, related to the existence of a ground state, has no solution.File in questo prodotto:
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