Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture; Bollettino dell'Unione Matematica Italiana; Vol. 11, iss. 2
| Parent link: | Bollettino dell'Unione Matematica Italiana Vol. 11, iss. 2.— 2018.— [P. 245-264] |
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| Hlavní autor: | |
| Korporativní autor: | |
| Další autoři: | , |
| Shrnutí: | Title screen In this paper we obtain lower estimates for the first non-trivial eigenvalue of the p-Laplace Neumann operator in bounded simply connected planar domains Ω⊂R2Ω⊂R2. This study is based on a quasiconformal version of the universal two-weight Poincaré-Sobolev inequalities obtained in our previous papers for conformal weights and its non weighted version for so-called K-quasiconformal αα-regular domains. The main technical tool is the geometric theory of composition operators in relation with the Brennan's conjecture for (quasi)conformal mappings. Режим доступа: по договору с организацией-держателем ресурса |
| Jazyk: | angličtina |
| Vydáno: |
2018
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| Témata: | |
| On-line přístup: | https://doi.org/10.1007/s40574-017-0127-z |
| Médium: | MixedMaterials Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=658513 |
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| 200 | 1 | |a Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture |f V. M. Gol’dshtein, V. A. Pchelintsev, A. D. Ukhlov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 263-264 (35 tit.)] | ||
| 330 | |a In this paper we obtain lower estimates for the first non-trivial eigenvalue of the p-Laplace Neumann operator in bounded simply connected planar domains Ω⊂R2Ω⊂R2. This study is based on a quasiconformal version of the universal two-weight Poincaré-Sobolev inequalities obtained in our previous papers for conformal weights and its non weighted version for so-called K-quasiconformal αα-regular domains. The main technical tool is the geometric theory of composition operators in relation with the Brennan's conjecture for (quasi)conformal mappings. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | 1 | |t Bollettino dell'Unione Matematica Italiana | |
| 463 | 1 | |t Vol. 11, iss. 2 |v [P. 245-264] |d 2018 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a elliptic equations | |
| 610 | 1 | |a Sobolev spaces | |
| 610 | 1 | |a quasiconformal mappings | |
| 610 | 1 | |a эллиптические уравнения | |
| 610 | 1 | |a пространство Соболева | |
| 610 | 1 | |a квазиконформные отображения | |
| 700 | 1 | |a Gol’dshtein |b V. M. |g Vladimir | |
| 701 | 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 | |
| 701 | 1 | |a Ukhlov |b A. D. |g Alexander Dadaroolovich | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Школа базовой инженерной подготовки |b Отделение математики и информатики |3 (RuTPU)RU\TPU\col\23555 |
| 801 | 2 | |a RU |b 63413507 |c 20181019 |g RCR | |
| 856 | 4 | |u https://doi.org/10.1007/s40574-017-0127-z | |
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