A limiting case in partial regularity for quasiconvex functionals
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916465192468480 |
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| author | Piccinini, Mirco |
| author_facet | Piccinini, Mirco |
| contents | Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $p$-growth of the type $$ w \mapsto \int \left[F(Dw)-f\cdot w\right]dx $$ feature almost everywhere $\mbox{BMO}$-regular gradient provided that $f$ belongs to the borderline Marcinkiewicz space $L(n,\infty)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05446 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A limiting case in partial regularity for quasiconvex functionals Piccinini, Mirco Analysis of PDEs Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $p$-growth of the type $$ w \mapsto \int \left[F(Dw)-f\cdot w\right]dx $$ feature almost everywhere $\mbox{BMO}$-regular gradient provided that $f$ belongs to the borderline Marcinkiewicz space $L(n,\infty)$. |
| title | A limiting case in partial regularity for quasiconvex functionals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2308.05446 |