Regularity of volume-minimizing graphs

DOI10.1512/IUMJ.1995.44.1978zbMath0827.53054OpenAlexW2010201092MaRDI QIDQ4844815

David L. Johnson, Penelope Smith

Publication date: 13 December 1995

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1995.44.1978

zbMATH Keywords

foliationsgeometric measure theoryvolumes of sections

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65) Optimization of shapes other than minimal surfaces (49Q10) Foliations (differential geometric aspects) (53C12) Currents in global analysis (58A25)

Related Items (5)

Volume-minimizing foliations on spheres ⋮ Regularity of volume-minimizing flows on 3-manifolds ⋮ Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Stability of unit Hopf vector fields on quotients of spheres ⋮ Partial regularity of mass-minimizing rectifiable sections

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