Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916591703162880 |
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| author | Haddad, Julian Horta, Raul Fernandes Montenegro, Marcos |
| author_facet | Haddad, Julian Horta, Raul Fernandes Montenegro, Marcos |
| contents | We establish new sharp asymmetric Poincare inequalities in one-dimension with the computation of optimal constants and characterization of extremizers. Using the one-dimensional theory we develop a comprehensive study on fundamental frequencies in the plane and related spectral optimization in the very general setting of positively homogeneous anisotropies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions Haddad, Julian Horta, Raul Fernandes Montenegro, Marcos Optimization and Control Analysis of PDEs We establish new sharp asymmetric Poincare inequalities in one-dimension with the computation of optimal constants and characterization of extremizers. Using the one-dimensional theory we develop a comprehensive study on fundamental frequencies in the plane and related spectral optimization in the very general setting of positively homogeneous anisotropies. |
| title | Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions |
| topic | Optimization and Control Analysis of PDEs |
| url | https://arxiv.org/abs/2501.12939 |