Using the electrostatic potential u due to a uniformly charged body ⊂ Rn, n ≥ 3, we introduce a family of monotone quantities associated with the level set flow of u. The derived monotonicity formulas are exploited to deduce a new quantitative version of the classical Willmore inequality.
Monotonicity formulas in potential theory
Agostiniani, Virginia;
2019-01-01
Abstract
Using the electrostatic potential u due to a uniformly charged body ⊂ Rn, n ≥ 3, we introduce a family of monotone quantities associated with the level set flow of u. The derived monotonicity formulas are exploited to deduce a new quantitative version of the classical Willmore inequality.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
monotonicity_formulas_potential_theory_2019_10_18.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso ristretto
Dimensione
417.54 kB
Formato
Adobe PDF
|
417.54 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.
