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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.11380 |
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| _version_ | 1866908707216949248 |
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| author | Deneche, C. Pchelintsev, V. |
| author_facet | Deneche, C. Pchelintsev, V. |
| contents | This paper is concerned with spectral estimates for the first Dirichlet eigenvalue of the degenerate $p$-Laplace operator in bounded simply connected domains $Ω\subset \mathbb C$. The proposed approach relies on the conformal analysis of the elliptic operators, which allows us to obtain spectral estimates in domains with non-rectifiable boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11380 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conformal composition operators with applications to Dirichlet eigenvalues Deneche, C. Pchelintsev, V. Analysis of PDEs 35P15, 46E35, 30C35 This paper is concerned with spectral estimates for the first Dirichlet eigenvalue of the degenerate $p$-Laplace operator in bounded simply connected domains $Ω\subset \mathbb C$. The proposed approach relies on the conformal analysis of the elliptic operators, which allows us to obtain spectral estimates in domains with non-rectifiable boundaries. |
| title | Conformal composition operators with applications to Dirichlet eigenvalues |
| topic | Analysis of PDEs 35P15, 46E35, 30C35 |
| url | https://arxiv.org/abs/2512.11380 |