University of Sussex
Browse
pre_print_JCC_KK.pdf (371.01 kB)

Necessary and sufficient conditions for the strong local minimality of C^1 extremals on a class of non-smooth domains

Download (371.01 kB)
journal contribution
posted on 2023-06-09, 17:37 authored by Judith Campos Cordero, Konstantinos KoumatosKonstantinos Koumatos
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions is introduced for domains that are locally diffeomorphic to cones. These conditions are shown to be necessary for strong local minimisers in the vectorial Calculus of Variations and a quasiconvexity-based sufficiency theorem is established for C1 extremals defined on this class of non-smooth domains. The sufficiency result presented here thus extends the seminal theorem by Grabovsky and Mengesha (2009), where smoothness assumptions are made on the boundary.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

ESAIM: Control, Optimisation and Calculus of Variations

ISSN

1292-8119

Publisher

EDP Sciences

Volume

26

Article number

a49

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-04-29

First Open Access (FOA) Date

2019-04-29

First Compliant Deposit (FCD) Date

2019-04-18

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC