Approximation in area of graphs with isolated singularities

DOI10.1007/BF02567811zbMath0876.49036MaRDI QIDQ1911206

Domenico Mucci

Publication date: 25 November 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156116

zbMATH Keywords

approximationisolated pointsarea functional for vector-valued functions

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (5)

Currents carried by the graphs of semi-monotone maps ⋮ Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ Graphs of finite mass which cannot be approximated by smooth graphs with equibounded area ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient ⋮ Approximation in area of continuous graphs

Cites Work

• Existence of least-area mappings of N-dimensional domains
• Density of smooth functions between two manifolds in Sobolev spaces
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Graphs of finite mass which cannot be approximated in area by smooth graphs
• Area and the area formula
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation in area of graphs with isolated singularities