Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866909998933606400 |
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| author | Borgia, Natalino Cingolani, Silvia Vannella, Giuseppina |
| author_facet | Borgia, Natalino Cingolani, Silvia Vannella, Giuseppina |
| contents | In this paper we obtain uniformly locally $L^{\infty}$-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16673 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems Borgia, Natalino Cingolani, Silvia Vannella, Giuseppina Analysis of PDEs 35J92, 35J50, 35B45, 35J60 In this paper we obtain uniformly locally $L^{\infty}$-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically. |
| title | Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems |
| topic | Analysis of PDEs 35J92, 35J50, 35B45, 35J60 |
| url | https://arxiv.org/abs/2601.16673 |