Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912572427468800 |
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| author | Menovschikov, Alexander Ukhlov, Alexander |
| author_facet | Menovschikov, Alexander Ukhlov, Alexander |
| contents | We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure Menovschikov, Alexander Ukhlov, Alexander Analysis of PDEs 35P15, 46E35, 30C65 We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues. |
| title | Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure |
| topic | Analysis of PDEs 35P15, 46E35, 30C65 |
| url | https://arxiv.org/abs/2502.18103 |