Abstract
We prove that if f belongs to the Morrey space \(L^{1,\lambda}(\Omega)\), with λ ∊ [0, n−2], and u is the solution of the problem
then Du belongs to the space \(L^{q, \lambda} (\Omega)\), for any \(q \in [1, \frac{n}{n-1} [.\)
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Mathematics Subject Classification (2000) 35J25, 35D10
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Cirmi, G.R., Leonardi, S. Regularity results for the gradient of solutions linear elliptic equations with L 1, λ data. Annali di Matematica 185, 537–553 (2006). https://doi.org/10.1007/s10231-005-0167-3
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DOI: https://doi.org/10.1007/s10231-005-0167-3