Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals
Articolo
Data di Pubblicazione:
2024
Citazione:
Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals / M. Perugini. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 240:(2024 Mar 01), pp. 113460.1-113460.19. [10.1016/j.na.2023.11346]
Abstract:
We study the perimeter inequality under circular symmetrisation, and we
provide a full geometric characterisation of equality cases. A careful
inspection of the proof shows that a similar characterisation holds true also
for the perimeter inequality under Steiner symmetrisation. Our result is based
on a new short proof of the perimeter inequality under symmetrisation.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Perimeter inequality; cases of equality; Steiner symmetrisation; circular symmetrisation;
Elenco autori:
M. Perugini
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