Renormalized solutions of elliptic equations with general measure data

Gianni Dal Maso; François Murat; Luigi Orsina; Alain Prignet

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Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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We discuss the uniqueness of solutions to problems like ⎧ λ |u|^s-1u - div (|∇u|^p-2∇u) = μ on Ω, ⎨ ⎩ u = 0 in ∂Ω, where λ ≥ 0 and μ is a signed Radon measure.

Dirichlet problem for a nonlinear conservation law.

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