Integral representation for a class of $C^1$-convex functionals

Details Integral representation for a class of $C^1$-convex functionals Integral representation for a class of $C^1$-convex functionals

1992-05-11

arxiv.org/abs/funct-an/9205002v1

Mathematics

Functional Analysis

51 pages

Scientific paper

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 $F(u,A)=\int_A f(x,u(x))\,d\mu + \nu(A)$, where $\mu$ and $\nu$ are Borel measures and $f$ is convex in the second variable.

Affiliated with

Also associated with

No associations

Rating

Integral representation for a class of $C^1$-convex functionals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integral representation for a class of $C^1$-convex functionals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral representation for a class of $C^1$-convex functionals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408374