On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings
| Parent link: | Journal of Mathematical Sciences Vol. 255, iss. 4.— 2021.— [P. 503-512] |
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| Autor principal: | |
| Autor corporatiu: | |
| Sumari: | Title screen We study variations of the first nontrivial eigenvalue of the two-dimensional p-Laplace operator, p>2, generated by measure preserving quasiconformal mappings. The study is based on the geometric theory of composition operators in Sobolev spaces and sharp embedding theorems. Using a sharp version of the reverse Holder inequality, we obtain a lower estimate for the first nontrivial eigenvalue in the case of Ahlfors type domains. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | anglès |
| Publicat: |
2021
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/s10958-021-05388-1 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666204 |
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| 200 | 1 | |a On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings |f V. A. Pchelintsev | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 330 | |a We study variations of the first nontrivial eigenvalue of the two-dimensional p-Laplace operator, p>2, generated by measure preserving quasiconformal mappings. The study is based on the geometric theory of composition operators in Sobolev spaces and sharp embedding theorems. Using a sharp version of the reverse Holder inequality, we obtain a lower estimate for the first nontrivial eigenvalue in the case of Ahlfors type domains. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 338 | |b Российский научный фонд |d 20-71-00037 | ||
| 461 | |t Journal of Mathematical Sciences | ||
| 463 | |t Vol. 255, iss. 4 |v [P. 503-512] |d 2021 | ||
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| 610 | 1 | |a пространства Соболева | |
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| 700 | 1 | |a Pchelintsev |b V. A. |c mathematician |c Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1988- |g Valery Anatoljevich |3 (RuTPU)RU\TPU\pers\35715 | |
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