Parametric and non-parametric minima

DOI10.1007/BF01169003zbMath0564.49026MaRDI QIDQ1058133

Gabriele Anzellotti

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/155021

zbMATH Keywords

local minimumCaccioppoli setdivergence theoremhypographnon-parametric area functional

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Variational problems in a geometric measure-theoretic setting (49Q20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Linear function spaces and their duals (46E99)

Related Items

Convex functionals and partial regularity, Existence and lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands

Cites Work

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• Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
• On the oriented Plateau problem
• Pairings between measures and bounded functions and compensated compactness
• On the minima of functionals with linear growth
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• The Euler Equation for Functionals with Linear Growth