Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates

DOI10.2422/2036-2145.201906_006zbMath1483.49013arXiv1905.07905OpenAlexW2945853753MaRDI QIDQ5161619

Benoît Merlet, Michael Goldman

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07905

zbMATH Keywords

calculus of variationsspaces of measurable functionsnon-convex functionalsPDEs with multivalued right-hand sides

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (1)

On the optimality of stripes in a variational model with non-local interactions

Cites Work

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• A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
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• The influence of surface energy on stress-free microstructures in shape memory alloys
• On the optimality of stripes in a variational model with non-local interactions
• An Elementary Proof of a Characterization of Constant Functions
• Direct methods in the calculus of variations

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