Paoli, Gloria
(2021)
Optimization and stability problems for eigenvalues of linear and non linear operators.
[Tesi di dottorato]
| Item Type: |
Tesi di dottorato
|
| Lingua: |
English |
| Title: |
Optimization and stability problems for eigenvalues of linear and non linear operators |
| Creators: |
| Creators | Email |
|---|
| Paoli, Gloria | gloria.paoli.93@gmail.com |
|
| Date: |
10 February 2021 |
| Number of Pages: |
129 |
| Institution: |
Università degli Studi di Napoli Federico II |
| Department: |
Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: |
Matematica e applicazioni |
| Ciclo di dottorato: |
33 |
| Coordinatore del Corso di dottorato: |
| nome | email |
|---|
| Moscariello, Gioconda | gmoscari@unina.it |
|
| Tutor: |
| nome | email |
|---|
| Ferone, Vincenzo | UNSPECIFIED |
|
| Date: |
10 February 2021 |
| Number of Pages: |
129 |
| Uncontrolled Keywords: |
Eigenvalues; Stability |
| Settori scientifico-disciplinari del MIUR: |
Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
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| Date Deposited: |
18 Feb 2021 18:22 |
| Last Modified: |
07 Jun 2023 10:27 |
| URI: |
http://www.fedoa.unina.it/id/eprint/13994 |
Abstract
In this thesis we study eigenvalue problems with different boundary conditions for some operators of linear and non linear type. In particular, we focus our study on Steklov and Robin boundary conditions, obtaining isoperimetric inequalities and the relative stability results with different hypothesis on the class of sets considered. A stability result in terms of the perimeter is also obtained for the first Dirichlet eigenvalues of the Laplacian operator.
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