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

Autor: Boccardo, Lucio, Orsina, Luigi, Ponce, Augusto C.
Rok vydání: 2016
Předmět:
Zdroj: Rend. Lincei Mat. Appl. 28 (2017), 729-745
Druh dokumentu: Working Paper
DOI: 10.4171/RLM/783
Popis: We study the behavior of the solutions $u$ of the linear Dirichlet problems $- \mathrm{div} (M(x) \nabla u) + a(x) u = f(x)$ with respect to perturbations of the matrix $M(x)$ (with respect to the $G$-convergence) and with respect to perturbations of the nonnegative coefficient $a(x)$ and of the right hand side $f(x)$ satisfying the condition $|f (x)| \leq Q \, a (x)$.
Databáze: arXiv