A threshold for higher-order asymptotic development of genuinely
nonlocal phase transition energies
A threshold for higher-order asymptotic development of genuinely
nonlocal phase transition energies
We study the higher-order asymptotic development of a nonlocal phase transition energy in bounded domains and with prescribed external boundary conditions. The energy under consideration has fractional order $2s \in (0,1)$ and a first-order asymptotic development in the $\Gamma$-sense as described by the fractional perimeter functional. We prove that there …