Some properties of the solutions of obstacle problems with measure data

Details Some properties of the solutions of obstacle problems with measure data Some properties of the solutions of obstacle problems with measure data

2000-06-02

arxiv.org/abs/math/0006012v1

Ricerche Mat. 48 (1999) Suppl. 99-116

Mathematics

Functional Analysis

18 pages

Scientific paper

We study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very weak assumptions on the obstacles, the solutions do not depend on the components of the negative parts of the data which are concentrated on sets of capacity zero. The proof is based on a careful analysis of the behaviour of the potentials of two mutually singular measures near the points where both potentials tend to infinity.

Affiliated with

Also associated with

No associations

Rating

Some properties of the solutions of obstacle problems with measure data 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 Some properties of the solutions of obstacle problems with measure data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some properties of the solutions of obstacle problems with measure data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-45086