On boundary regularity for integral currents or flat chains modulo two minimizing the integral of an elliptic integrand

DOI10.1080/03605307708820058zbMath0385.49025OpenAlexW1979511442MaRDI QIDQ4165840

Robert M. Hardt

Publication date: 1977

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605307708820058

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Currents in global analysis (58A25) Variational methods for higher-order elliptic equations (35J35)

Related Items

Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space, Examples of Unoriented Area-Minimizing Surfaces, Boundary regularity of minimal oriented hypersurfaces on a manifold, On the Boundary Behavior of Mass-Minimizing Integral Currents, Boundary regularity for anisotropic minimal Lipschitz graphs, The regularity theory for the area functional (in geometric measure theory), Boundary regularity of mass-minimizing integral currents and a question of Almgren, Uniqueness of area minimizing surfaces for extreme curves, On the thread problem for minimal surfaces, Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals, Colloquium lectures on geometric measure theory, Plateaus problem for parametric double integrals: II. Regularity at the boundary, Area-minimizing currents bounded by higher multiples of curves, Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law, Boundary regularity for minimizing currents with prescribed mean curvature

Cites Work

• On the first variation of a varifold: Boundary behavior
• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
• Minimal cones and the Bernstein problem
• On boundary regularity for Plateau's problem
• Unnamed Item
• Unnamed Item
• Unnamed Item