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math.AP2023
Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals
Matteo Perugini
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…
math.AP2023
A quantitative version of the Gidas-Ni-Nirenberg Theorem
Giulio Ciraolo, Matteo Cozzi, Matteo Perugini +1
A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations in a ball vanishing at the boundary must be radial and…