Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino

We consider the Laplace equation in a domain of ${\mathbb{R}}^n$, $n\ge 3$, with a small inclusion of size $\epsilon$. On the boundary of the inclusion we define a nonlinear nonautonomous t…