A semilinear problem with a $W^{1,1}_0$ solution

Lucio Boccardo; Gisella Croce; Luigi Orsina

doi:10.4171/rlm/619

JournalsrlmVol. 23, No. 2pp. 97–103

A semilinear problem with a $W_{0}^{1, 1}$ solution

Lucio Boccardo
Università di Roma La Sapienza, Italy
Gisella Croce
Université du Havre, Le Havre, France
Luigi Orsina
Università di Roma La Sapienza, Italy

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Abstract

We study a degenerate elliptic equation, proving the existence of a $W_{0}^{1, 1}$ distributional solution.

Cite this article

Lucio Boccardo, Gisella Croce, Luigi Orsina, A semilinear problem with a $W_{0}^{1, 1}$ solution. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 23 (2012), no. 2, pp. 97–103

DOI 10.4171/RLM/619