Very weak solutions of quadratic Hessian equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866916392874278912 |
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| author | Dinew, Sławomir Myga, Szymon |
| author_facet | Dinew, Sławomir Myga, Szymon |
| contents | We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex $σ_2$ equation in domains in $\mathbb C^n,\ n\geq 2$. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08852 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Very weak solutions of quadratic Hessian equations Dinew, Sławomir Myga, Szymon Analysis of PDEs Complex Variables We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex $σ_2$ equation in domains in $\mathbb C^n,\ n\geq 2$. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case. |
| title | Very weak solutions of quadratic Hessian equations |
| topic | Analysis of PDEs Complex Variables |
| url | https://arxiv.org/abs/2409.08852 |