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.
Englishn this paper we consider the problem −Δu+u=up on a bounded domain with a homogeneous Neumann boundary condition. We prove the existence of a one-spike solution to (0.1) which concentrates around a topologically non trivial critical point of the mean curvature of the boundary with positive value. Under some symmetry assumption on Ω, namely if Ω is even with respect to N−1 variables and 0∈∂Ω is a point with positive mean curvature, we prove existence of solutions to (0.1) which resemble the form of a super-position of spikes centered at 0.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Super position of bubbles in a slightly supercritical Neumann problem |
| Autori: | |
| Data di pubblicazione: | 2005 |
| Rivista: | |
| Abstract: | n this paper we consider the problem −Δu+u=up on a bounded domain with a homogeneous Neumann boundary condition. We prove the existence of a one-spike solution to (0.1) which concentrates around a topologically non trivial critical point of the mean curvature of the boundary with positive value. Under some symmetry assumption on Ω, namely if Ω is even with respect to N−1 variables and 0∈∂Ω is a point with positive mean curvature, we prove existence of solutions to (0.1) which resemble the form of a super-position of spikes centered at 0. |
| Handle: | http://hdl.handle.net/11573/50174 |
| Appare nella tipologia: | 01a Articolo in rivista |
File allegati a questo prodotto
http://hdl.handle.net/11573/50174
Copyright © 2018