A-quasiconvexity and partial regularity

Conti, Sergio; Gmeineder, Franz

A-quasiconvexity and partial regularity

Dateien

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Datum

2022

Autor:innen

Conti, Sergio

Gmeineder, Franz

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Calculus of Variations and Partial Differential Equations. Springer. 2022, 61(6), 215. ISSN 0944-2669. eISSN 1432-0835. Available under: doi: 10.1007/s00526-022-02326-0

Zusammenfassung

We establish the first partial regularity result for local minima of strongly A-quasiconvex integrals in the case where the differential operator A possesses an elliptic potential A. As the main ingredient, the proof works by reduction to the partial regularity for full gradient functionals. Specialising to particular differential operators, the results in this paper thereby equally yield novel partial regularity theorems in the cases of the trace-free symmetric gradient, the exterior derivative or the div-curl-operator.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

CONTI, Sergio, Franz GMEINEDER, 2022. A-quasiconvexity and partial regularity. In: Calculus of Variations and Partial Differential Equations. Springer. 2022, 61(6), 215. ISSN 0944-2669. eISSN 1432-0835. Available under: doi: 10.1007/s00526-022-02326-0

BibTex

@article{Conti2022-12Aquas-58930,
  year={2022},
  doi={10.1007/s00526-022-02326-0},
  title={A-quasiconvexity and partial regularity},
  number={6},
  volume={61},
  issn={0944-2669},
  journal={Calculus of Variations and Partial Differential Equations},
  author={Conti, Sergio and Gmeineder, Franz},
  note={Partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Project 211504053 - SFB 1060 and Project 390685813 - HCM Article Number: 215}
}

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Kommentar zur Publikation

Partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Project 211504053 - SFB 1060 and Project 390685813 - HCM

Universitätsbibliographie

Ja

Begutachtet

Ja