On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term
A. AzzolliniA. Pomponio
35J6058E05nonlinear Schroedinger equationgeneral nonlinearityPohozaev identity
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.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3576
10.1512/iumj.2009.58.3576
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Indiana Univ. Math. J. 58 (2009) 1361 - 1378
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