In [3] it is proved that, in some Dirichlet problems, the interplay between the coeffi- cient of the lower order term and the right hand side yields a regularizing effect on the solution: u belongs to W01,2(Ω)∩L∞(Ω) even with a right hand side f belonging only to L1(Ω). In this paper we study the role of the interplay assumption under perturbation of the elliptic operator in the sense of the G-convergence.
The role of interplay between cofficients in the G-convergence of some elliptic equations / Boccardo, Lucio; Orsina, Luigi; Ponce, Augusto C.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 28:4(2017), pp. 729-745. [10.4171/RLM/783]
The role of interplay between cofficients in the G-convergence of some elliptic equations
Boccardo, Lucio
;Orsina, Luigi;
2017
Abstract
In [3] it is proved that, in some Dirichlet problems, the interplay between the coeffi- cient of the lower order term and the right hand side yields a regularizing effect on the solution: u belongs to W01,2(Ω)∩L∞(Ω) even with a right hand side f belonging only to L1(Ω). In this paper we study the role of the interplay assumption under perturbation of the elliptic operator in the sense of the G-convergence.| File | Dimensione | Formato | |
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