Alessio, Francesca and Caldiroli, Paolo and Montecchiari, Piero:
Infinitely many solutions for a class of semilinear elliptic equations in $\mathbb{R}^N$
Bollettino dell'Unione Matematica Italiana Serie 8 4-B (2001), fasc. n.2, p. 311-317, Unione Matematica Italiana (English)
pdf (470 Kb), djvu (112 Kb). | MR1831991 | Zbl 1024.35033
Sunto
Si considera una classe di equazioni ellittiche semilineari su $\mathbb{R}^{N}$ della forma $-\Delta u + u= a(x) |u|^{p-1}u$ con $p>1$ sottocritico (o con nonlinearità più generali) e $a(x)$ funzione limitata. In questo articolo viene presentato un risultato di genericità sull'esistenza di infinite soluzioni, rispetto alla classe di coefficienti $a(x)$ limitati su $\mathbb{R}^{N}$ e non negativi all'infinito.
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