Lower semi-continuity for A-quasiconvex functionals under convex restrictions
Skipper J, Wiedemann E (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 27
Article Number: 107
DOI: 10.1051/cocv/2021105
Abstract
We show weak lower semi-continuity of functionals assuming the new notion of a "convexly constrained"A-quasiconvex integrand. We assume A-quasiconvexity only for functions defined on a set K which is convex. Assuming this and sufficient integrability of the sequence we show that the functional is still (sequentially) weakly lower semi-continuous along weakly convergent "convexly constrained"A-free sequences. In a motivating example, the integrand is - det1/d-1 and the convex constraint is positive semi-definiteness of a matrix field.
Authors with CRIS profile
Involved external institutions
Germany (DE)How to cite
APA:
Skipper, J., & Wiedemann, E. (2021). Lower semi-continuity for A-quasiconvex functionals under convex restrictions. Esaim-Control Optimisation and Calculus of Variations, 27. https://doi.org/10.1051/cocv/2021105
MLA:
Skipper, Jack, and Emil Wiedemann. "Lower semi-continuity for A-quasiconvex functionals under convex restrictions." Esaim-Control Optimisation and Calculus of Variations 27 (2021).
BibTeX: Download