Lowersemicontinuity of energy clusters

DOI10.1017/S0308210500023842zbMath0886.49016MaRDI QIDQ4354110

Frank Morgan

Publication date: 26 February 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

lower semicontinuityellipticitysurface energies

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (9)

Homogenization of vector-valued partition problems and dislocation cell structures in the plane ⋮ A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting ⋮ BV-ellipticity and lower semicontinuity of surface energy of Caccioppoli partitions of \(\mathbb{R}^n\) ⋮ Crystals and polycrystals in \(\mathbb R^n\): lower semicontinuity and existence ⋮ B2-convexity and surface energy of space partitions ⋮ Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity ⋮ Threshold Dynamics for Networks with Arbitrary Surface Tensions ⋮ Wulff clusters in \(\mathbb{R}^2\) ⋮ Existence of surface energy minimizing partitions of ℝⁿ satisfying volume constraints

Cites Work

• Clusters minimizing area plus length of singular curves
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
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