The Calderón-Zygmund theory for elliptic problems with measure data

dc.creatorMingione, Giuseppe
dc.date2006-09-24
dc.date2007-07-07
dc.date.accessioned2026-07-07T08:14:26Z
dc.date.available2026-07-07T08:14:26Z
dc.descriptionWe consider non-linear elliptic equations having a measure in the right hand side, of the type $ \divo a(x,Du)=μ, $ 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 Calderón-Zygmund theory for the problem. All the regularity results presented in this paper are provided together with explicit local a priori estimates.
dc.identifierhttps://arxiv.org/abs/math/0609670
dc.identifierhttp://arxiv.org/abs/math/0609670
dc.identifierAnn. Scu. Norm. Sup. Pisa Cl. Sci. (Ser. V) 6 (2007) 195-251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133120
dc.subjectAnalysis of PDEs
dc.subject35D10
dc.titleThe Calderón-Zygmund theory for elliptic problems with measure data
dc.typetext

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