Explicit singular viscosity solutions of the Aronsson equation
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We establish that when n≥2 and H∈C1(Rn) is a Hamiltonian such that some level set contains a line segment, the Aronsson equation D2u:Hp(Du)⊗Hp(Du)=0 admits explicit entire viscosity solutions. They are superpositions of a linear part plus a Lipschitz continuous singular part which in general is non-C1 and nowhere twice differentiable. In particular, we supplement the C1 regularity result of Wang and Yu (2008)  by deducing that strict level convexity is necessary for C1 regularity of solutions. © 2011 Académie des sciences.