The role of interplay between coefficients in the $G$-convergence of some elliptic equations
Lucio Boccardo, Luigi Orsina, Augusto C. Ponce · Rendiconti Lincei Matematica e Applicazioni · 2017
In [3] 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: u belongs to {W_0^{1,2}(\Omega)\cap L^\infty} even with a right hand side f belonging only to L^1 (\Omega) . In this paper we study the role of the interplay assumption under perturbation of the elliptic operator in the sense of the G -convergence.