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.
1
Università di Roma Tor Vergata, Italy
2
Scuola Normale Superiore, Pisa, Italy
Andrea Braides; Andrea Malchiodi. Curvature theory of boundary phases: the two-dimensional case. Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 345-370. doi: 10.4171/ifb/65
@article{10_4171_ifb_65,
author = {Andrea Braides and Andrea Malchiodi},
title = {Curvature theory of boundary phases: the two-dimensional case},
journal = {Interfaces and free boundaries},
pages = {345--370},
year = {2002},
volume = {4},
number = {4},
doi = {10.4171/ifb/65},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/65/}
}
TY - JOUR
AU - Andrea Braides
AU - Andrea Malchiodi
TI - Curvature theory of boundary phases: the two-dimensional case
JO - Interfaces and free boundaries
PY - 2002
SP - 345
EP - 370
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/65/
DO - 10.4171/ifb/65
ID - 10_4171_ifb_65
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%R 10.4171/ifb/65
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