Renormalized solutions of elliptic equations with general measure data

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

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Displaying similar documents to “Renormalized solutions of elliptic equations with general measure data”

Some properties of reachable solutions of nonlinear elliptic equations with measure data

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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A notion of renormahzed solution of the study of a general conservation law.

PATRICK URRUTY (1999)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Nonlinear parabolic equations with natural growth terms and measure initial data

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Existence results for semilinear elliptic equations with small measure data

Nathalie Grenon (2002)

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Homogenization of a linear transport equation with time depending coefficient

Milena Petrini (1999)

Rendiconti del Seminario Matematico della Università di Padova

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On the uniqueness problem for quasilinear elliptic equations involving measures.

Tero Kilpeläinen, Xiangsheng Xu (1996)

Revista Matemática Iberoamericana

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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.

Guy Vallet (2000)

Revista Matemática Complutense

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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.