Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type   Functionals
  In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gagliardo fractional seminorms for gradients. Using Gamma convergence the integral representation of the limit energy is characterized leading to an anisotropic surface energy on interfaces separating different phases. 
Gianni Dal Maso, Irene Fonseca and Giovanni Leoni
math.AP