naa a22 4500 510810497 CHVBK 20180411083440.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s12220-011-9242-8 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9242-8 Caraballo David Department of Mathematics, Georgetown University, St. Mary's Hall, 3rd floor, 20057-1233, Washington, DC, USA aut BV-Ellipticity and Lower Semicontinuity of Surface Energy of Caccioppoli Partitions of ℝ n [Elektronische Daten] [David Caraballo] We give a new proof that BV-ellipticity is sufficient for lower semicontinuity of surface energy of Caccioppoli partitions of ℝ n , for any n≥2, with respect to convergence in volume. BV-ellipticity, introduced by L. Ambrosio and A. Braides two decades ago, is the only condition known to be necessary and sufficient for lower semicontinuity in the context of Caccioppoli partitions of ℝ n ; it is analogous, for this setting, to C.B. Morrey's quasi-convexity. We also show, for the first time, that BV-ellipticity suffices for lower semicontinuity with respect to weaker notions of convergence involving the weak and flat topologies on integral currents. Mathematica Josephina, Inc., 2011 Lower semicontinuity nationallicence BV-ellipticity nationallicence Caccioppoli partition nationallicence Polycrystal nationallicence Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 202-220 1050-6926 23:1<202 2013 23 12220 https://doi.org/10.1007/s12220-011-9242-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9242-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Caraballo David Department of Mathematics, Georgetown University, St. Mary's Hall, 3rd floor, 20057-1233, Washington, DC, USA aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 202-220 1050-6926 23:1<202 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer