Integral representation for a class of $C^1$-convex functionals
| dc.creator | Maso, Gianni Dal | |
| dc.creator | Defranceschi, Anneliese | |
| dc.creator | Vitali, Enrico | |
| dc.date | 1992-05-11 | |
| dc.date.accessioned | 2026-07-07T09:13:21Z | |
| dc.date.available | 2026-07-07T09:13:21Z | |
| dc.description | In view of the applications to the asymptotic analysis of a family of obstacle problems, we consider a class of convex local functionals $F(u,A)$, defined for all functions $u$ in a suitable vector valued Sobolev space and for all open sets $A$ in ${\bf R}^n$. Sufficient conditions are given in order to obtain an integral representation of the form $F(u,A)=\int_A f(x,u(x))\,dμ+ ν(A)$, where $μ$ and $ν$ are Borel measures and $f$ is convex in the second variable. | |
| dc.description | 51 pages | |
| dc.identifier | https://arxiv.org/abs/funct-an/9205002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9205002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152296 | |
| dc.subject | Functional Analysis | |
| dc.title | Integral representation for a class of $C^1$-convex functionals | |
| dc.type | text |