Abstract
AbstractThough the $${\mathcal {A}}$$
A
-quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical $${\text {curl}}$$
curl
-case. Our aim is to propose such a family of problems in the $${\text {div}}{-}{\text {curl}}$$
div
-
curl
-situation, and explore the corresponding $${\mathcal {A}}$$
A
-polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.
Funder
Fundação para a Ciência e a Tecnologia
Agencia Estatal de Investigación
Junta de Comunidades de Castilla-La Mancha
Publisher
Springer Science and Business Media LLC
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