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http://hdl.handle.net/10077/16201| Title: | Hardy inequality, compact embeddings and properties of certain eigenvalue problems | Authors: | Drábek, Pavel Kufner, Alois |
Keywords: | degenerate and singular eigenvalue problem; Hardy’s inequality; Muckenhoupt function; BD-property; Sturm-Liouville problem; compact embeddings; weighted function spaces | Issue Date: | 2017 | Publisher: | EUT Edizioni Università di Trieste | Source: | D. Pavel, A. Kufner, "Hardy inequality, compact embeddings and properties of certain eigenvalue problems", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 5-17. | Journal: | Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics | Part of: | 49 (2017) | Pages: | 382 | Abstract: | We point out the connection between the Hardy inequality, compact embedding of weighted function spaces and the properties of the spectra of certain eigenvalue problems. Necessary and sufficient conditions in terms of the Muckenhoupt function are formulated. |
Type: | Article | URI: | http://hdl.handle.net/10077/16201 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/2464-8728/16201 | Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internazionale |
| Appears in Collections: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.49 (2017) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 01_RIMUT_DrabekKufner.pdf | 285.96 kB | Adobe PDF |  View/Open |
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