12 papers
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…
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…
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(…
Surfaces with prescribed mean curvature in
Antonio Bueno, Irene Ortiz
In this paper we study rotational surfaces in the space whose mean curvature is given as a prescribed function of their angle function. These surface…
Invariant hypersurfaces with linear prescribed mean curvature
Antonio Bueno, Irene Ortiz
Our aim is to study invariant hypersurfaces immersed in the Euclidean space , whose mean curvature is given as a linear function in the unit sphere …
Rotational hypersurfaces of prescribed mean curvature
Antonio Bueno, Jose A. Galvez, Pablo Mira
We use a phase space analysis to give some classification results for rotational hypersurfaces in whose mean curvature is given as a prescribed function of its G…