On the First Eigenvalue of the Degenerate pp -Laplace Operator in Non-convex Domains; Integral Equations and Operator Theory; Vol. 90, iss. 4
| Parent link: | Integral Equations and Operator Theory Vol. 90, iss. 4.— 2018.— [43, 21 p.] |
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| Κύριος συγγραφέας: | |
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Άλλοι συγγραφείς: | , |
| Περίληψη: | Title screen In this paper we obtain lower estimates of the first non-trivial eigenvalues of the degenerate p-Laplace operator, p>2 , in a large class of non-convex domains. This study is based on applications of the geometric theory of composition operators on Sobolev spaces that permits us to estimate constants of the Poincare–Sobolev inequalities. On this base we obtain lower estimates of the first non-trivial eigenvalues for Ahlfors-type domains (i.e. quasidiscs). This class of domains includes some snowflake-type domains with fractal boundaries. Режим доступа: по договору с организацией-держателем ресурса |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
2018
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| Διαθέσιμο Online: | https://doi.org/10.1007/s00020-018-2469-z |
| Μορφή: | Ηλεκτρονική πηγή Κεφάλαιο βιβλίου |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659586 |