Relaxation of quasi-convex functionals with variable exponent growth
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912832752189440 |
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| author | Bertazzoni, Giacomo Harjulehto, Petteri Hästö, Peter Zappale, Elvira |
| author_facet | Bertazzoni, Giacomo Harjulehto, Petteri Hästö, Peter Zappale, Elvira |
| contents | We prove a relaxation result for a quasi-convex bulk integral functional with variable exponent growth in a suitable space of bounded variation type. A key tool is a decomposition under mild assumptions of the energy into absolutely continuous and singular parts weighted via a recession function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relaxation of quasi-convex functionals with variable exponent growth Bertazzoni, Giacomo Harjulehto, Petteri Hästö, Peter Zappale, Elvira Analysis of PDEs Functional Analysis 26A45, 26B30, 46E35, 46E99, 49J45 We prove a relaxation result for a quasi-convex bulk integral functional with variable exponent growth in a suitable space of bounded variation type. A key tool is a decomposition under mild assumptions of the energy into absolutely continuous and singular parts weighted via a recession function. |
| title | Relaxation of quasi-convex functionals with variable exponent growth |
| topic | Analysis of PDEs Functional Analysis 26A45, 26B30, 46E35, 46E99, 49J45 |
| url | https://arxiv.org/abs/2510.04672 |