Existence of a W01,1-solution for a semilinear Dirichlet

Existence of a W₀^1,1-solution for a semilinear Dirichlet
Lucio Boccardo

Abstract. In this paper we prove the existence in W₀^1,1 (not in BV ) of a solution (in a very weak sense) for the boundary value problem (1.1)

Rend. Mat. Appl. (7) 42 (2021) 215-226; pdf file pdf

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ISSN 1120-7183 (print) ISSN 2532-3350 (online) Home Editorial Board Latest articles Published Volumes Historical Notes Editorial Policy Publication Ethics Instructions for Authors Copyright Subscription Information Editorial Office rendmat@mat.uniroma1.it	Back to: Published Volumes > Volume 42 (3-4) (2021) Existence of a W₀^1,1-solution for a semilinear Dirichlet Lucio Boccardo Abstract. In this paper we prove the existence in W₀^1,1* (not in BV ) of a solution (in a very weak sense) for the boundary value problem (1.1)* Rend. Mat. Appl. (7) 42 (2021) 215-226; pdf