On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings; Journal of Mathematical Sciences; Vol. 255, iss. 4
| Parent link: | Journal of Mathematical Sciences Vol. 255, iss. 4.— 2021.— [P. 503-512] |
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| Κύριος συγγραφέας: | |
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Περίληψη: | 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 |
| Γλώσσα: | Αγγλικά |
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2021
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| Διαθέσιμο Online: | https://doi.org/10.1007/s10958-021-05388-1 |
| Μορφή: | Ηλεκτρονική πηγή Κεφάλαιο βιβλίου |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666204 |
| Περίληψη: | 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 |
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| DOI: | 10.1007/s10958-021-05388-1 |