Open AccessCurvature theory of boundary phases: the two-dimensional case
Author(s) -
Andrea Braides,
Andrea Malchiodi
Publication year - 2002
Publication title -
interfaces and free boundaries mathematical analysis computation and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.964
H-Index - 39
eISSN - 1463-9971
pISSN - 1463-9963
DOI - 10.4171/ifb/65
Subject(s) - curvature , compact space , regular polygon , boundary (topology) , mathematics , mean curvature , limit (mathematics) , mathematical analysis , geometry
We describe the behaviour of minimum problems involving non-convex surface integrals in 2D singu- larly 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 eects are highlighted.
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