A REPRESENTATION FORMULA FOR THE p-ENERGY OF METRIC SPACE-VALUED SOBOLEV MAPS
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Publication:4649525
DOI10.1142/S0219199712500435zbMath1260.58008arXiv1112.0122OpenAlexW2963947306MaRDI QIDQ4649525
Philippe Logaritsch, Emanuele Nunzio Spadaro
Publication date: 22 November 2012
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0122
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic maps, etc. (58E20) Special maps on metric spaces (54E40)
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Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space ⋮ Lifting of \({\mathbb {RP}^{d-1}}\)-valued maps in \(BV\) and applications to uniaxial \(Q\)-tensors. With an appendix on an intrinsic \(BV\)-energy for manifold-valued maps ⋮ Korevaar-Schoen's energy on strongly rectifiable spaces ⋮ Area minimizing discs in metric spaces ⋮ Multi-value microstructural descriptors for complex materials: analysis of ground states
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