Mathematics – Analysis of PDEs
Scientific paper
2006-09-24
Ann. Scu. Norm. Sup. Pisa Cl. Sci. (Ser. V) 6 (2007) 195-251
Mathematics
Analysis of PDEs
Scientific paper
We consider non-linear elliptic equations having a measure in the right hand side, of the type $ \divo a(x,Du)=\mu, $ and prove differentiability and integrability results for solutions. New estimates in Marcinkiewicz spaces are also given, and the impact of the measure datum density properties on the regularity of solutions is analyzed in order to build a suitable Calder\'on-Zygmund theory for the problem. All the regularity results presented in this paper are provided together with explicit local a priori estimates.
No associations
LandOfFree
The Calderón-Zygmund theory for elliptic 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 The Calderón-Zygmund theory for elliptic problems with measure data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Calderón-Zygmund theory for elliptic problems with measure data will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-651548