Bandyopadhyay, SaugataDacorogna, BernardSil, Swarnendu2015-09-282015-09-282015-09-28201510.4171/Jems/525https://infoscience.epfl.ch/handle/20.500.14299/119159WOS:000356209200011We study integrals of the form integral(Omega) f (d omega), where 1 <= k <= n, f : Lambda(k) -> R is continuous and omega is a (k - 1)-form. We introduce the appropriate notions of convexity, namely ext. one convexity, ext. quasiconvexity and ext. polyconvexity. We study their relations, give several examples and counterexamples. We conclude with an application to a minimization problem.Calculus of variationsdifferential formsquasiconvexitypolyconvexity and ext. one convexitytext::journal::journal article::research article