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math.AP2021★ 8 cited
Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones
Alessandro Iacopetti, Filomena Pacella, Tobias Weth
In this work we address the question of the existence of nonradial domains inside a nonconvex cone for which a mixed boundary overdetermined problem admits a solution. Our approach…
math.AP2021★ 1 cited
A sharp gradient estimate and regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space
Denis Bonheure, Alessandro Iacopetti
We consider the prescribed mean curvature equation for entire spacelike hypersurfaces in the Lorentz-Minkowski space, namely \begin{equation*} -\operatorname{div}\left(\displaystyl…