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Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

In this paper we consider the PDE system of vanishing normal projection of the Laplacian for C 2 maps u : ℝ n ⊇ Ω → ℝ N : [ [ D u ] ] ⊥ Δ u = 0 in Ω . This system has discontinuous coefficients and geometrically …