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Brezis, Haïm; Van Schaftingen, Jean

Boundary estimates for elliptic systems with \(L^{1}\)- data. (English) Zbl 1149.35025

Calc. Var. Partial Differ. Equ. 30, No. 3, 369-388 (2007).
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)

Cited in 25 Documents

MSC:

35J25 Boundary value problems for second-order elliptic equations
26D15 Inequalities for sums, series and integrals
35F05 Linear first-order PDEs

Keywords:

div-curl and Hodge systems; boundary estimates; elliptic systems with \(L^1\)-data
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\textit{H. Brezis} and \textit{J. Van Schaftingen}, Calc. Var. Partial Differ. Equ. 30, No. 3, 369--388 (2007; Zbl 1149.35025)
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References:

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