Rellich inequalities via Riccati pairs on model space forms
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908493619920896 |
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| author | Kajántó, Sándor |
| author_facet | Kajántó, Sándor |
| contents | We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon simple convexity arguments, integration by parts, and the so-called Riccati pairs, which are based on the solvability of a Riccati-type ordinary differential inequality. These results can be viewed as the higher order counterparts of the recent work by Kajántó, Kristály, Peter, and Zhao, discussing Hardy inequalities using Riccati pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10906 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rellich inequalities via Riccati pairs on model space forms Kajántó, Sándor Analysis of PDEs We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon simple convexity arguments, integration by parts, and the so-called Riccati pairs, which are based on the solvability of a Riccati-type ordinary differential inequality. These results can be viewed as the higher order counterparts of the recent work by Kajántó, Kristály, Peter, and Zhao, discussing Hardy inequalities using Riccati pairs. |
| title | Rellich inequalities via Riccati pairs on model space forms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2307.10906 |