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Note on a remarkable superposition for a nonlinear equation
Authors:Peter Lindqvist   Juan J. Manfredi
Affiliation:Department of Mathematics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway ; Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Abstract:We give a simple proof of--and extend--a superposition principle for the equation div$ (vertnabla uvert^{p-2}nabla u)leq 0$, discovered by Crandall and Zhang. An integral representation comes as a byproduct. It follows that a class of Riesz potentials is $ p$-superharmonic.

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