JournalsifbVol. 4, No. 4pp. 345–370

Curvature theory of boundary phases: the two-dimensional case

  • Andrea Braides

    Università di Roma Tor Vergata, Italy
  • Andrea Malchiodi

    Scuola Normale Superiore, Pisa, Italy
Curvature theory of boundary phases: the two-dimensional case cover
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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.

Cite this article

Andrea Braides, Andrea Malchiodi, Curvature theory of boundary phases: the two-dimensional case. Interfaces Free Bound. 4 (2002), no. 4, pp. 345–370

DOI 10.4171/IFB/65