Approximation in area of continuous graphs

DOI10.1007/BF01261762zbMath0878.49028MaRDI QIDQ1815287

Domenico Mucci

Publication date: 12 December 1996

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

areaapproximationcurrentsgraphs of smooth maps

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) Multidimensional problems (41A63)

Related Items (4)

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

Cites Work

• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Graphs of finite mass which cannot be approximated in area by smooth graphs
• Approximation in area of graphs with isolated singularities
• Normal and integral currents
• Area and the area formula
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