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math.AP2022★ 1 cited
Lipschitz regularity of almost minimizers in one-phase problems driven by the -Laplace operator
Serena Dipierro, Fausto Ferrari, Nicolò Forcillo +1
We prove that, given~, the nonnegative almost minimizers of the nonlinear free boundary functional $$ J_p(u,Ω):=\int_Ω\Big( |\nabla u(x)|^p+χ…
math.AP2022★ 7 cited
A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group
Fausto Ferrari, Nicolò Forcillo
In this paper we provide a counterexample about the existence of an increasing monotonicity behavior of a function introduced in \cite{FeFo}, companion of the celebrated Alt-Caffar…