Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture
| Parent link: | Bollettino dell'Unione Matematica Italiana Vol. 11, iss. 2.— 2018.— [P. 245-264] |
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| Other Authors: | , |
| Summary: | 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 |
| Language: | English |
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2018
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| Online Access: | https://doi.org/10.1007/s40574-017-0127-z |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=658513 |
| Summary: | 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 |
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| DOI: | 10.1007/s40574-017-0127-z |