G-convergence and semilinear elliptic equations
Andrea Dall’Aglio, Nicoletta Anna Tchou · Asymptotic Analysis · 1991
We study the behavior of positive solutions of semilinear elliptic equations −div(a ε (x)Du ε =g(u ε ) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices a ε . Here the function g has a subcritical or critical growth with respect to Sobolev imbedding.