Boundary estimates for elliptic systems with \(L^{1}\)- data. (English) Zbl 1149.35025
Authors’ abstract: We obtain boundary estimates for the gradient of solutions to elliptic systems with Dirichlet or Neumann boundary conditions and \(L^{1}\)-data, under some condition on the divergence of the data. Similar boundary estimates are obtained for div-curl and Hodge systems.
Reviewer: Messoud A. Efendiev (Berlin)
MSC:
35J25 | Boundary value problems for second-order elliptic equations |
26D15 | Inequalities for sums, series and integrals |
35F05 | Linear first-order PDEs |
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