G-convergence in a semilinear problem with aW01,1solution

Article type: Research Article

Authors: Boccardo, Lucio^{a; *} | Casado-Díaz, Juan^b

Affiliations: [a] Dipartimento di Matematica, “Sapienza” Università di Roma, Roma, Italy. E-mail: [email protected] | [b] Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Sevilla, Spain. E-mail: [email protected]

Correspondence: [*] Corresponding author: Lucio Boccardo, Dipartimento di Matematica, “Sapienza” Università di Roma, Piazza A. Moro 2, 00185 Roma, Italy. E-mail: [email protected].

Abstract: We study the stability, with respect to the G-convergence, of the W01,1 distributional solutions of a degenerate elliptic equation.

Keywords: W^1,1 solutions, G-convergence

DOI: 10.3233/ASY-151285

Journal: Asymptotic Analysis, vol. 93, no. 1-2, pp. 65-74, 2015