Singular perturbation of domains and semilinear elliptic equations III
Shuichi Jimbo · Hokkaido Mathematical Journal · 2004
We consider a (parametrized) bounded domain, some portion of which degenerates and approaches a lower dimensional set when the parameter goes to zero. We consider semilinear elliptic equation with Neumann B.C. in this domain and the behavior of the solutions in the limit. We give a characterization for the solutions in the sense of uniform convergence.