2 papers
math.AP2026
Rigidity for the Pólya-Szegö inequality under circular rearrangement
F. Cagnetti, G. Domazakis, M. Perugini +1
A Pólya-Szegö inequality for the circular rearrangement is proven, under general assumptions. In addition, sufficient conditions are given, under which all the extremals of the ine…
math.AP2023
Rigidity for the perimeter inequality under Schwarz symmetrisation
Georgios Domazakis
In this paper, we give necessary and sufficient conditions for the rigidity of perimeter inequality under Schwarz symmetrisation. The term rigidity refers to the situation in which…