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math.DG2022
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature
Paolo Caldiroli, Gabriele Cora, Alessandro Iacopetti
We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions…
math.DG2021
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space
Paolo Caldiroli
We construct families of smooth functions such that the Euclidean -space is completely filled by not necessarily round hyperspheres of…
math.DG2012
Radial graphs over domains of with prescribed mean curvature
Paolo Caldiroli, Giovanni Gullino
We prove the existence and uniqueness of radial graphs over a given domain of having boundary on the sphere and whose mean curvature at every poin…