Inserted: 26 may 2001
Last Updated: 5 dec 2002
Journal: Interfaces and Free Boundary
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.
Keywords: surface energies, Gamma-convergence $\Gamma$-convergence, phase transitions,, curvature functionals