Existence of a representing Borel measure for multiply connected cavities
Let ω=∪k=1Nωk\omega=\cup_{k=1}^N\omega_kω=∪k=1Nωk be a multiply connected set, where the sets ωk\omega_kωk, for k=1,…,Nk=1,\dots,Nk=1,…,N, are nonintersecting simply connected open domains with C1,1C^{1,1}C1,1 bounda…