Approximation of $L^\infty$ functionals with generalized Orlicz norms
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913402724548608 |
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| author | Bertazzoni, Giacomo Eleuteri, Michela Zappale, Elvira |
| author_facet | Bertazzoni, Giacomo Eleuteri, Michela Zappale, Elvira |
| contents | The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. $Γ$-convergence results and related representation theorems in terms of $L^\infty$ functionals are proven for sequences of generalized Orlicz energies under mild convexity assumptions. This latter hypothesis is removed in the variable exponent setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation of $L^\infty$ functionals with generalized Orlicz norms Bertazzoni, Giacomo Eleuteri, Michela Zappale, Elvira Analysis of PDEs The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. $Γ$-convergence results and related representation theorems in terms of $L^\infty$ functionals are proven for sequences of generalized Orlicz energies under mild convexity assumptions. This latter hypothesis is removed in the variable exponent setting. |
| title | Approximation of $L^\infty$ functionals with generalized Orlicz norms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.16509 |