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math.DG2022
Surfaces of prescribed linear Weingarten curvature in
Antonio Bueno, Irene Ortiz
Given and , we study immersed oriented surfaces in the Euclidean 3-space whose mean curvature and Gauss curvature…
math.DG2022
Rotational surfaces of prescribed Gauss curvature in
Antonio Bueno, Irene Ortiz
We study rotational surfaces in Euclidean 3-space whose Gauss curvature is given as a prescribed function of its Gauss map. By means of a phase plane analysis and under mild assump…
math.AP2022
Radial solutions for equations of Weingarten type
Antonio Bueno, Rafael López
In this paper we study the linear Weingarten equation defined by the fully non-linear PDE $$a\, \mbox{div}\frac{Du}{\sqrt{1+|Du|^2}}+b\, \frac{\mbox{det}D^2u}{(1+|Du|^2)^2}=ϕ\left(…