Weak and strong density results for the Dirichlet energy

DOI10.4171/JEMS/3zbMath1043.49040MaRDI QIDQ1432719

Mariano Giaquinta, Domenico Mucci

Publication date: 15 June 2004

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Dirichlet energyweak limitsenergy minimizing currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Unnamed Item, On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of least-area mappings of N-dimensional domains
• Boundary regularity and the Dirichlet problem for harmonic maps
• The approximation problem for Sobolev maps between two manifolds
• The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
• The problem of Plateau on a Riemannian manifold
• On sequence of maps with equibounded energies