2 papers
math.AP2025
Boundary regularity of a fourth order Alt-Caffarelli problem and applications to the minimization of the critical buckling load
Jimmy Lamboley, Mickaël Nahon
We study a higher order analogue to the Alt-Caffarelli functional that arises in several shape optimization problems, among which the minimization of the critical buckling load of…
math.AP2025
Sharp quantitative Talenti's inequality in particular cases
Paolo Acampora, Jimmy Lamboley
In this paper, we focus on the famous Talenti's symmetrization inequality, more precisely its corollary asserting that the -norm of the solution to is hig…