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Necessary and sufficient conditions for the strong local minimality of C^1 extremals on a class of non-smooth domains
journal contribution
posted on 2023-06-09, 17:37 authored by Judith Campos Cordero, Konstantinos KoumatosKonstantinos KoumatosMotivated 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.
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Publication status
- Published
File Version
- Accepted version
Journal
ESAIM: Control, Optimisation and Calculus of VariationsISSN
1292-8119Publisher
EDP SciencesExternal DOI
Volume
26Article number
a49Department 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
2019-04-29First Open Access (FOA) Date
2019-04-29First Compliant Deposit (FCD) Date
2019-04-18Usage metrics
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