We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(x, del u)) = mu in Omega, u = 0 on partial derivative Omega, where mu is a Radon measure with bounded variation on Omega. We prove the existence of such a solution, a stability result, and partial uniqueness results.

Definition and existence of renormalized solutions of elliptic equations with general measure data / Gianni Dal, Maso; François, Murat; Orsina, Luigi; Alain, Prignet. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - 325:5(1997), pp. 481-486. [10.1016/s0764-4442(97)88893-3]

Definition and existence of renormalized solutions of elliptic equations with general measure data

ORSINA, Luigi;
1997

Abstract

We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(x, del u)) = mu in Omega, u = 0 on partial derivative Omega, where mu is a Radon measure with bounded variation on Omega. We prove the existence of such a solution, a stability result, and partial uniqueness results.
1997
01 Pubblicazione su rivista::01a Articolo in rivista
Definition and existence of renormalized solutions of elliptic equations with general measure data / Gianni Dal, Maso; François, Murat; Orsina, Luigi; Alain, Prignet. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - 325:5(1997), pp. 481-486. [10.1016/s0764-4442(97)88893-3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/70189
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