Gentile, Andrea (2024) Symmetrization, comparison results and their applications in shape optimization problems. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Symmetrization, comparison results and their applications in shape optimization problems |
| Autori: | Autore Email Gentile, Andrea andrea.gentile2@unina.it |
| Data: | 6 Dicembre 2024 |
| Numero di pagine: | 155 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dottorato: | Mathematical and physical sciences for advanced materials and technologies |
| Ciclo di dottorato: | 36 |
| Coordinatore del Corso di dottorato: | nome email Fusco, Nicola nicola.fusco@unina.it |
| Tutor: | nome email Nitsch, Carlo [non definito] |
| Data: | 6 Dicembre 2024 |
| Numero di pagine: | 155 |
| Parole chiave: | Shape Optimization, Rearrangements, Comparison results |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Depositato il: | 23 Ott 2025 06:26 |
| Ultima modifica: | 12 Ago 2026 05:38 |
| URI: | https://www.fedoa.unina.it/id/eprint/16912 |
Abstract
The thesis deals with shape optimization problems which are attacked by using rearrangements techniques. Chapter 2 contains some Talenti comparison type results for solutions to p-Poisson equations with Robin boundary conditions. Chapter 3 deals with the so-called gradient rearrangement, by extending a result by Giarrusso and Nunziante to Sobolev functions with non zero trace and also to BV functions. Some further applications are also given. Chapter 4 regards two shape optimization problems for eigenvalues of the Robin and Neumann Laplace operators where the class of admissible sets is the class of convex sets.
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