Graphs of finite mass which cannot be approximated by smooth graphs with equibounded area

DOI10.1006/jfan.1997.3173zbMath0910.49024OpenAlexW2071664449MaRDI QIDQ1381533

Domenico Mucci

Publication date: 12 April 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3173

zbMATH Keywords

Cartesian currents

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)

Related Items

Currents carried by the graphs of semi-monotone maps ⋮ Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of least-area mappings of N-dimensional domains
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Graphs of finite mass which cannot be approximated in area by smooth graphs
• New lower semicontinuity results for polyconvex integrals
• Approximation in area of continuous graphs
• Approximation in area of graphs with isolated singularities
• Surface Area. (AM-35)
• Area and the area formula