Oronzio, Francesca (2022) ADM Mass and Linear Potential Theory. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | ADM Mass and Linear Potential Theory |
| Creators: | Creators Email Oronzio, Francesca francesca.oronzio@unina.it |
| Date: | 14 March 2022 |
| 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: | 34 |
| Coordinatore del Corso di dottorato: | nome email Moscariello, Gioconda gioconda.moscariello@unina.it |
| Tutor: | nome email Mantegazza, Carlo Maria UNSPECIFIED Fusco, Nicola UNSPECIFIED |
| Date: | 14 March 2022 |
| Number of Pages: | 129 |
| Keywords: | ADM mass, boundary capacity |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Date Deposited: | 24 Mar 2022 07:15 |
| Last Modified: | 28 Feb 2024 11:01 |
| URI: | http://www.fedoa.unina.it/id/eprint/14411 |
Collection description
The aim of this work is to obtain geometric inequalities involving the ADM mass and the capacity of the boundary (if present) of complete, one--ended asymptotically flat manifolds with nonnegative scalar curvature, via monotonicity formulas holding along the level sets of appropriate harmonic functions.
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