Weakly differentiable functions on varifolds

DOI10.1512/iumj.2016.65.5829zbMath1350.49067arXiv1411.3287OpenAlexW1481715573MaRDI QIDQ2822160

Ulrich Menne

Publication date: 27 September 2016

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3287

zbMATH Keywords

decompositionweakly differentiable functionSobolev-Poincaré inequalitycoarea formularelative isoperimetric inequalitygeodesic distanceapproximate differentiabilityrectifiable varifoldcurvature varifolddistributional boundary

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

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