A-Variational Principles

Though the A -quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl -case. Our aim is to propose such a family of problems in the div - curl -situation, and explore the corr...

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Bibliographic Details
Published inMilan journal of mathematics Vol. 91; no. 2; pp. 293 - 314
Main Authors Bandeira, Luís, Pedregal, Pablo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2023
Subjects
Analysis
Mathematics
Mathematics and Statistics
Primary 49J45
Constant-rank linear partial differential operator
Secondary 49J10
Weak lower semicontinuity
Polyconvexity
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Summary:Though the A -quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl -case. Our aim is to propose such a family of problems in the div - curl -situation, and explore the corresponding A -polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.
ISSN:1424-9286
1424-9294
DOI:10.1007/s00032-023-00382-5