We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(cursive Greek chi, ∇u)) = μ in Ω, u = 0 on ∂Ω, where μ is a Radon measure with bounded variation on Ω. 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 / Dal Maso, Gianni; Murat, F.; Orsina, L.; Prignet, A.. - 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
Dal Maso, Gianni;
1997-01-01
Abstract
We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(cursive Greek chi, ∇u)) = μ in Ω, u = 0 on ∂Ω, where μ is a Radon measure with bounded variation on Ω. We prove the existence of such a solution, a stability result, and partial uniqueness results.File in questo prodotto:
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