Exterior convexity and classical calculus of variations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866913768800256000 |
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| author | Bandyopadhyay, Saugata Sil, Swarnendu |
| author_facet | Bandyopadhyay, Saugata Sil, Swarnendu |
| contents | We study the relation between various notions of exterior convexity introduced in Bandyopadhyay-Dacorogna-Sil \cite{BDS1} with the classical notions of rank one convexity, quasiconvexity and polyconvexity. To this end, we introduce a projection map, which generalizes the alternating projection for two-tensors in a new way and study the algebraic properties of this map. We conclude with a few simple consequences of this relation which yields new proofs for some of the results discussed in Bandyopadhyay-Dacorogna-Sil \cite{BDS1}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_00278 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Exterior convexity and classical calculus of variations Bandyopadhyay, Saugata Sil, Swarnendu Functional Analysis Analysis of PDEs 49-XX We study the relation between various notions of exterior convexity introduced in Bandyopadhyay-Dacorogna-Sil \cite{BDS1} with the classical notions of rank one convexity, quasiconvexity and polyconvexity. To this end, we introduce a projection map, which generalizes the alternating projection for two-tensors in a new way and study the algebraic properties of this map. We conclude with a few simple consequences of this relation which yields new proofs for some of the results discussed in Bandyopadhyay-Dacorogna-Sil \cite{BDS1}. |
| title | Exterior convexity and classical calculus of variations |
| topic | Functional Analysis Analysis of PDEs 49-XX |
| url | https://arxiv.org/abs/1712.00278 |