1,721,106 research outputs found
The Calderón-Zygmund theory for elliptic problems with measure data
Full text linkWe consider non-linear elliptic equations having a measure in the
right hand side, of the type div 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 Calder ́on-Zygmund theory
for the problem. All the regularity results presented in this paper are provided
together with explicit local a priori estimates
La teoria di Calderón-Zygmund dal caso lineare a quello non lineare
No full textLa teoria di Calderon-Zygmund per equazioni ellittiche e paraboliche lineari ammette un analogo non lineare che si Áe andato man mano delineando sempre più chiaramente negli ultimi anni. Di seguito si discutono alcuni risultati validi in questo ambito
Nonlinear Measure Data Problems
No full textWe describe some basic results from regularity theory for solutions to elliptic quasilinear equations involving an assigned measure datum and we include some new integrability and differentiability results for sublinear problem
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