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Gradient blow up in Zygmund spaces for the very weak solution of a linear elliptic equation
Frédéric Abergel1, Jean-Michel Rakotoson2

We study the behaviour of very weak solutions (introduced by Brezis) of linear elliptic equations when the right-hand-side belongs to a weighted L1 space, the weight being a function of the distance to the boundary.
1:  MAS - Mathématiques Appliquées aux Systèmes - EA 4037
2:  LMA-Poitiers - Laboratoire de Mathématiques et Applications
Very weak solutions – elliptic PDE – Lorentz space – distance to the boundary