Given a function $H\in C^{1}(\mathbb{R}^{3})$ asymptotic to a constant at infinity, we investigate the existence of H-bubbles, i.e., nontrivial, conformal surfaces parametrized by the sphere, with mean curvature H. Under some global hypotheses we prove the existence of H-bubbles with minimal energy.
Existence of minimal H-bubbles
CALDIROLI, Paolo;
2002-01-01
Abstract
Given a function $H\in C^{1}(\mathbb{R}^{3})$ asymptotic to a constant at infinity, we investigate the existence of H-bubbles, i.e., nontrivial, conformal surfaces parametrized by the sphere, with mean curvature H. Under some global hypotheses we prove the existence of H-bubbles with minimal energy.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CommunContempMath2002.pdf
Accesso riservato
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
336.78 kB
Formato
Adobe PDF
|
336.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
