Infinitely many solutions for a class of semilinear elliptic equations in $\mathbb{R}^N$

Alessio, Francesca; Caldiroli, Paolo; Montecchiari, Piero

Infinitely many solutions for a class of semilinear elliptic equations in

R^{N}

Alessio, Francesca ; Caldiroli, Paolo ; Montecchiari, Piero

Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 311-317 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

Si considera una classe di equazioni ellittiche semilineari su $R^{N}$ della forma $- Δ u + u = a (x) {|u|}^{p - 1} u$ 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 $R^{N}$ e non negativi all'infinito.

Publié le : 2001-06-01

MR 1831991 | Zbl 1024.35033

@article{BUMI_2001_8_4B_2_311_0,
     author = {Francesca Alessio and Paolo Caldiroli and Piero Montecchiari},
     title = {Infinitely many solutions for a class of semilinear elliptic equations in $\mathbb{R}^N$},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4-A},
     year = {2001},
     pages = {311-317},
     zbl = {1024.35033},
     mrnumber = {1831991},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_2_311_0}
}

Alessio, Francesca; Caldiroli, Paolo; Montecchiari, Piero. Infinitely many solutions for a class of semilinear elliptic equations in $\mathbb{R}^N$. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 311-317. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_2_311_0/

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