Capacity theory for monotone operators
| dc.creator | Maso, G. Dal | |
| dc.creator | Skrypnik, I. V. | |
| dc.date | 1995-01-19 | |
| dc.date.accessioned | 2026-07-07T09:13:31Z | |
| dc.date.available | 2026-07-07T09:13:31Z | |
| dc.description | If $Au=-div(a(x,Du))$ is a monotone operator defined on the Sobolev space $W^{1,p}(R^n)$, $1<p<+\infty$, with $a(x,0)=0$ for a.e. $x\in R^n$, the capacity $C_A(E,F)$ relative to $A$ can be defined for every pair $(E,F)$ of bounded sets in $R^n$ with $E\subset F$. We prove that $C_A(E,F)$ is increasing and countably subadditive with respect to $E$ and decreasing with respect to $F$. Moreover we investigate the continuity properties of $C_A(E,F)$ with respect to $E$ and $F$. | |
| dc.description | 42 pages, plain TeX, no figures | |
| dc.identifier | https://arxiv.org/abs/funct-an/9501005 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9501005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152354 | |
| dc.subject | Functional Analysis | |
| dc.title | Capacity theory for monotone operators | |
| dc.type | text |