Calculus of Variations with Differential Forms

Saugata Bandyopadhyay

(IISER, Kolkata, India)

Event: ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations

Date: Jul 02, 2014, time: 10:50

Abstract. In this lecture, we outline the functional framework relevant for calculus of variations
with differential forms. In this context, appropriate notions of convexity, namely ext.
one convexity, ext. quasiconvexity and ext. polyconvexity are introduced.
We study their relations, give several examples and counterexamples. We finally
conclude with an application to a minimization problem. It is a joint work with
Bernard Dacorogna and Swarnendu Sil.