Symmetry for a quasilinear elliptic equation in Hyperbolic space
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916626311413760 |
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| author | Dutta, Ramya Kunnath, Sandeep |
| author_facet | Dutta, Ramya Kunnath, Sandeep |
| contents | In this article we establish the radial symmetry of positive solutions of a p- Laplace equation in the Hyperbolic space, which is the Euler Lagrange equation of the p- Poincare Sobolev inequality in the Hyperbolic space. We will also establish the sharp decay of solution and its gradient and also investigate the question of existence of solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14187 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symmetry for a quasilinear elliptic equation in Hyperbolic space Dutta, Ramya Kunnath, Sandeep Analysis of PDEs 35B06, 35B33, 35B44, 35B45, 35J92 In this article we establish the radial symmetry of positive solutions of a p- Laplace equation in the Hyperbolic space, which is the Euler Lagrange equation of the p- Poincare Sobolev inequality in the Hyperbolic space. We will also establish the sharp decay of solution and its gradient and also investigate the question of existence of solution. |
| title | Symmetry for a quasilinear elliptic equation in Hyperbolic space |
| topic | Analysis of PDEs 35B06, 35B33, 35B44, 35B45, 35J92 |
| url | https://arxiv.org/abs/2306.14187 |