Approximation problems for curvature varifolds

DOI10.1007/BF02922105zbMath0932.58013OpenAlexW2001789379MaRDI QIDQ1296917

Pallara, Diego, Massimo Gobbino, Luigi Ambrosio

Publication date: 13 March 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922105

zbMATH Keywords

currentssets of finite perimetergeneralized manifoldscurvature varifolds

Mathematics Subject Classification ID

Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Weak and approximate curvatures of a measure: a varifold perspective ⋮ Existence of integral \(m\)-varifolds minimizing \(\int |A|^p\) and \(\int |H|^p\), \(p>m\), in Riemannian manifolds ⋮ Ground states of simple bodies that may undergo brittle fractures ⋮ On a functional depending on curvature and edges ⋮ Fractional differential inclusions in the Almgren sense

Cites Work

• Graphs of finite mass which cannot be approximated in area by smooth graphs
• On surfaces of finite total curvature
• Oriented and nonoriented curvature varifolds
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