Self-improving property for certain degenerate functionals with generalized Orlicz growth
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908680681684992 |
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| author | Hietanen, Vertti Lee, Mikyoung |
| author_facet | Hietanen, Vertti Lee, Mikyoung |
| contents | We investigate a self-improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasiminimizer has local higher integrability. In addition, we establish the existence of minimizers for the associated functional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-improving property for certain degenerate functionals with generalized Orlicz growth Hietanen, Vertti Lee, Mikyoung Analysis of PDEs 49N60, 35J62, 35B65, 46E35 We investigate a self-improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasiminimizer has local higher integrability. In addition, we establish the existence of minimizers for the associated functional. |
| title | Self-improving property for certain degenerate functionals with generalized Orlicz growth |
| topic | Analysis of PDEs 49N60, 35J62, 35B65, 46E35 |
| url | https://arxiv.org/abs/2511.20898 |