%0 Journal Article
%J Potential Anal. 7 (1997), no. 4, 765-803
%D 1997
%T Capacity theory for monotone operators
%A Gianni Dal Maso
%A Igor V. Skrypnik
%X 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 $F$.
%B Potential Anal. 7 (1997), no. 4, 765-803
%I Springer
%G en
%U http://hdl.handle.net/1963/911
%1 2880
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T12:40:26Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995
%R 10.1023/A:1017987405983