An existence result for a nonlinear transmission problems

M. Dalla Riva, G. Mishuris

Let ${\Omega }^o$ and ${\Omega }^i$ be open bounded subsets of ${\mathbb{R}}^n$ of class $C^{1,\alpha }$ such that the closure of ${\Omega }^i$ is contained in ${\Omega }^o$. Let $f^o$ be a function in $C^{1,α}(\partialΩ…