This paper is devoted to the study, with variational technique, of the following quasilinear elliptic problem: {-Delta(p)u - beta Delta(q)u = g(u) in R-N, u(x) -> 0 as |x| -> + infinity, where N >= 3, 1 < p < q, and p < N. We are interested in the existence of positive solutions for general nonlinearities. Specifically, we obtain the existence result for the zero mass case, which includes a large class of pure power nonlinearities. More general quasilinear problems of Born-Infeld type are also considered.
Some quasilinear elliptic equations involving multiple p-Laplacians / Pomponio, Alessio; Watanabe, Tatsuya. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 67:6(2018), pp. 2199-2224. [10.1512/iumj.2018.67.7523]
Some quasilinear elliptic equations involving multiple p-Laplacians
Alessio Pomponio;
2018-01-01
Abstract
This paper is devoted to the study, with variational technique, of the following quasilinear elliptic problem: {-Delta(p)u - beta Delta(q)u = g(u) in R-N, u(x) -> 0 as |x| -> + infinity, where N >= 3, 1 < p < q, and p < N. We are interested in the existence of positive solutions for general nonlinearities. Specifically, we obtain the existence result for the zero mass case, which includes a large class of pure power nonlinearities. More general quasilinear problems of Born-Infeld type are also considered.| File | Dimensione | Formato | |
|---|---|---|---|
|
BI-type3_TITOLO DIVERSO.pdf
accesso aperto
Descrizione: Submitted version
Tipologia:
Documento in Pre-print
Licenza:
Tutti i diritti riservati
Dimensione
159.65 kB
Formato
Adobe PDF
|
159.65 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
