CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe study the Neumann problem - div(alpha(vertical bar del u vertical bar)del u) + alpha(vertical bar u vertical bar)u = lambda f (x, u) in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R(N), lambda is a positive parameter, f is a continuous function, and alpha is a real-valued mapping defined on (0, infinity). The main result in this Note establishes that for all lambda in a prescribed open interval, this problem has infinitely many solutions that converge to zero in the Orlicz-Sobolev space W(1)L(Phi)(Omega).
| Titolo: | Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces |
| Autori: | |
| Data di pubblicazione: | 2011 |
| Rivista: | |
| Abstract: | We study the Neumann problem - div(alpha(vertical bar del u vertical bar)del u) + alpha(vertical bar u vertical bar)u = lambda f (x, u) in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R(N), lambda is a positive parameter, f is a continuous function, and alpha is a real-valued mapping defined on (0, infinity). The main result in this Note establishes that for all lambda in a prescribed open interval, this problem has infinitely many solutions that converge to zero in the Orlicz-Sobolev space W(1)L(Phi)(Omega). |
| Handle: | http://hdl.handle.net/11570/1910219 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11570/1910219
Copyright © 2021