Several existence and nonexistence results are known for positive solutions [eqution presented] resting upon compatibility conditions between α and p. Letting 2<inf>α</inf>:= 2N/(N-α) and 2∗<inf>α</inf>:= 2(2N-2 + α)/(2N-2-α), the problem is still open for 0 < α < 2 and 2<inf>α</inf> < p ≤ 2∗<inf>α</inf>, for 2 < <inf>α</inf> < N and 2∗<inf>α</inf> ≥ p < 2<inf>α</inf>, and for N ≤ α < 2N-2 and p ≥ 2∗<inf>α</inf>. Here we give a negative answer to the problem of the existence of radial solutions in the first open case.
Badiale, M., Guida, M., & Rolando, S. (2015). A nonexistence result for a nonlinear elliptic equation with singular and decaying potential. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(4).
Citazione: | Badiale, M., Guida, M., & Rolando, S. (2015). A nonexistence result for a nonlinear elliptic equation with singular and decaying potential. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(4). |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | A nonexistence result for a nonlinear elliptic equation with singular and decaying potential |
Autori: | Badiale, M; Guida, M; Rolando, S |
Autori: | ROLANDO, SERGIO (Corresponding) |
Data di pubblicazione: | 2015 |
Lingua: | English |
Rivista: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0219199714500242 |
Appare nelle tipologie: | 01 - Articolo su rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
1303.2146v1.pdf | preprint | N/A | Open Access Visualizza/Apri |