Two-phase free boundary problems for a class of fully nonlinear double-divergence systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915451867496448 |
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| author | Andrade, Pêdra D. S. Correa, Julio C. |
| author_facet | Andrade, Pêdra D. S. Correa, Julio C. |
| contents | In this article, we study a class of fully nonlinear double-divergence systems with free boundaries associated with a minimization problem. The variational structure of Hessian-dependent functional plays a fundamental role in proving the existence of the minimizers and then the existence of the solutions for the system. In addition, we establish gains of the integrability for the double-divergence equation. Consequently, we improve the regularity for the fully nonlinear equation in Sobolev and Hölder spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19236 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Two-phase free boundary problems for a class of fully nonlinear double-divergence systems Andrade, Pêdra D. S. Correa, Julio C. Analysis of PDEs 35B65, 35J35, 35R35, 35A01 In this article, we study a class of fully nonlinear double-divergence systems with free boundaries associated with a minimization problem. The variational structure of Hessian-dependent functional plays a fundamental role in proving the existence of the minimizers and then the existence of the solutions for the system. In addition, we establish gains of the integrability for the double-divergence equation. Consequently, we improve the regularity for the fully nonlinear equation in Sobolev and Hölder spaces. |
| title | Two-phase free boundary problems for a class of fully nonlinear double-divergence systems |
| topic | Analysis of PDEs 35B65, 35J35, 35R35, 35A01 |
| url | https://arxiv.org/abs/2305.19236 |