The Neumann Problem for Hessian Equations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866917643887312896 |
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| author | Ma, Xi-Nan Qiu, Guohuan |
| author_facet | Ma, Xi-Nan Qiu, Guohuan |
| contents | In this paper, we prove the existence of a classical solution to a Neumann boundary problem for Hessian equations in uniformly convex domain. The methods depend upon the established of a priori derivative estimates up to second order. So we give a affirmative answer to a conjecture of N. Trudinger in 1986. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_00196 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | The Neumann Problem for Hessian Equations Ma, Xi-Nan Qiu, Guohuan Analysis of PDEs Differential Geometry 35J25 35J96 In this paper, we prove the existence of a classical solution to a Neumann boundary problem for Hessian equations in uniformly convex domain. The methods depend upon the established of a priori derivative estimates up to second order. So we give a affirmative answer to a conjecture of N. Trudinger in 1986. |
| title | The Neumann Problem for Hessian Equations |
| topic | Analysis of PDEs Differential Geometry 35J25 35J96 |
| url | https://arxiv.org/abs/1508.00196 |