0411110 20240903202640.920060210235959.9 10 s. cav_un_epca*02906490862-79591282 (2003)169-178Matematický ústav AV ČR, v. v. i. extreme points polyconvexity quasiconvexity cav_un_auth*0101142 Kružík Martin UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075005 GA AV ČR cav_un_auth*0012782 CEZ:AV0Z1075907 We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $R^{mtimes n}$, $min(m,n)le 2$, then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope. BA MTR http://hdl.handle.net/11104/0131197 UTIA-B 20030097 2003 cav_un_epca*0290649 Mathematica Bohemica 0862-7959 2464-7136 Roč. 128 č. 2 2003 169 178 Matematický ústav AV ČR, v. v. i.