Amato, Vincenzo (2023) On the rearrangement of a function and its applications to shape optimization problems. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | On the rearrangement of a function and its applications to shape optimization problems |
| Creators: | Creators Email Amato, Vincenzo vincenzo.amato@unina.it |
| Date: | 11 December 2023 |
| Number of Pages: | 165 |
| Institution: | Università degli Studi di Napoli Federico II |
| Department: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Matematica e Applicazioni |
| Ciclo di dottorato: | 36 |
| Coordinatore del Corso di dottorato: | nome email Gioconda, Moscariello gioconda.moscariello@unina.it |
| Tutor: | nome email Trombetti, Cristina UNSPECIFIED |
| Date: | 11 December 2023 |
| Number of Pages: | 165 |
| Keywords: | Shape optimization, functional inequalities |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Date Deposited: | 19 Dec 2023 18:12 |
| Last Modified: | 12 Mar 2026 09:54 |
| URI: | http://www.fedoa.unina.it/id/eprint/15660 |
Collection description
In this thesis, we recall some basic notions, such as the notion of rearrangement, and obtain some results for them; more precisely, we study the properties of the rearrangement of the gradient in the class of BV function. In the second part of the thesis, we obtain some results for several shape optimisation problems involving different boundary parameters.
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