Rigidity for perimeter inequalities under symmetrisation

Perugini, Matteo (2019) Rigidity for perimeter inequalities under symmetrisation. Doctoral thesis (PhD), University of Sussex.

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Abstract

My PhD thesis contains a couple of results I obtained under the supervision of my advisor Filippo Cagnetti, during the past three years of my studies. In particular, I present two results about rigidity of perimeter inequality under symmetrization techniques. The first result, presented in Chapter 3, provides the characterization of rigidity for equality cases for the perimeter inequality under spherical symmetrization; whereas in Chapter 4 I will study the rigidity of equality cases for the Steiner's inequality for the anisotropic perimeter.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0440 Geometry. Trigonometry. Topology
Depositing User: Library Cataloguing
Date Deposited: 19 Jul 2019 09:54
Last Modified: 19 Jul 2019 09:54
URI: http://sro.sussex.ac.uk/id/eprint/84490

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