Extremal functions for a supercritical k-Hessian inequality of Sobolev-type
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866914733566722048 |
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| author | de Oliveira, José Francisco Ubilla, Pedro |
| author_facet | de Oliveira, José Francisco Ubilla, Pedro |
| contents | Our main purpose in this paper is to investigate a supercritical Sobolev-type inequality for the $k$-Hessian operator acting on $Φ^{k}_{0,\mathrm{rad}}(B)$, the space of radially symmetric $k$-admissible functions on the unit ball $B\subset\mathbb{R}^{N}$. We also prove both the existence of admissible extremal functions for the associated variational problem and the solvability of a related $k$-Hessian equation with supercritical growth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_02712 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Extremal functions for a supercritical k-Hessian inequality of Sobolev-type de Oliveira, José Francisco Ubilla, Pedro Analysis of PDEs Functional Analysis Our main purpose in this paper is to investigate a supercritical Sobolev-type inequality for the $k$-Hessian operator acting on $Φ^{k}_{0,\mathrm{rad}}(B)$, the space of radially symmetric $k$-admissible functions on the unit ball $B\subset\mathbb{R}^{N}$. We also prove both the existence of admissible extremal functions for the associated variational problem and the solvability of a related $k$-Hessian equation with supercritical growth. |
| title | Extremal functions for a supercritical k-Hessian inequality of Sobolev-type |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2004.02712 |