@article {2002, title = {Curvature theory of boundary phases: the two-dimensional case}, journal = {Interfaces Free Bound. 7 (2002) 345-370}, year = {2002}, publisher = {European Mathematical Society}, abstract = {We describe the behaviour of minimum problems involving non-convex surface integrals in 2D, singularly perturbed by a curvature term. We show that their limit is described by functionals which take into account energies concentrated on vertices of polygons. Non-locality and non-compactness effects are highlighted.}, url = {http://hdl.handle.net/1963/3537}, author = {Andrea Braides and Andrea Malchiodi} }