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math.AP2025
A survey on the optimal partition problem
Roberto Ognibene, Bozhidar Velichkov
This survey synthesizes the current state of the art on the regularity theory for solutions to the optimal partition problem. Namely, we consider non-negative, vector-valued Sobole…
math.AP2025
Asymptotics of nonlinear Robin energies
Giuseppe Buttazzo, Roberto Ognibene
This paper investigates the asymptotic behavior of a class of nonlinear variational problems with Robin-type boundary conditions on a bounded Lipschitz domain. The energy functiona…