The role of interplay between coefficients in the $G$-convergence of some elliptic equations

Boccardo, Lucio;Orsina, Luigi;Ponce, Augusto
(2017) Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti — Vol. 28, p. 729-745 (2017)

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Authors
  • Boccardo, LucioSapienza - Università di Roma
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  • Orsina, LuigiSapienza - Università di Roma
    Author
  • Ponce, Augustoorcid-logoUCLouvain
    Author
Abstract
In Boccardo et al. (J. Funct. Anal. 268 (2015), 1153–1166) it is proved that, in some Dirichlet problems, the interplay between the coefficient of the lower order term and the right hand side yields a regularizing effect on the solution. In this paper we study the role of the interplay assumption under perturbation of the elliptic operator in the sense of the G-convergence.
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Boccardo, L., Orsina, L., & Ponce, A. (2017). The role of interplay between coefficients in the $G$-convergence of some elliptic equations. Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti, 28, 729-745. https://doi.org/10.4171/rlm/783 (Original work published 2017)