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A-quasiconvexity and partial regularity

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

@article{Conti2022-12Aquas-58930, title={A-quasiconvexity and partial regularity}, year={2022}, doi={10.1007/s00526-022-02326-0}, number={6}, volume={61}, issn={0944-2669}, journal={Calculus of Variations and Partial Differential Equations}, author={Conti, Sergio and Gmeineder, Franz}, note={Article Number: 215} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Gmeineder, Franz</dc:creator> <bibo:uri rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dc:contributor>Gmeineder, Franz</dc:contributor> <dc:language>eng</dc:language> <dspace:isPartOfCollection rdf:resource=""/> <dc:rights>Attribution 4.0 International</dc:rights> <dc:date rdf:datatype="">2022-10-27T13:27:51Z</dc:date> <dcterms:hasPart rdf:resource=""/> <dcterms:issued>2022-12</dcterms:issued> <dcterms:title>A-quasiconvexity and partial regularity</dcterms:title> <dspace:hasBitstream rdf:resource=""/> <dc:contributor>Conti, Sergio</dc:contributor> <dc:creator>Conti, Sergio</dc:creator> <dcterms:rights rdf:resource=""/> <dcterms:available rdf:datatype="">2022-10-27T13:27:51Z</dcterms:available> </rdf:Description> </rdf:RDF>

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