Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals
Academic Article
Publication Date:
2024
Citation:
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.
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.
IRIS type:
01 - Articolo su periodico
Keywords:
Perimeter inequality; cases of equality; Steiner symmetrisation; circular symmetrisation;
List of contributors:
M. Perugini
Link to information sheet: