13 citations · 28 across the 15 of their papers we have counts for
19 papers
Analytic saddle spheres in are equatorial
Jose A. Galvez, Pablo Mira, Marcos P. Tassi
A theorem by Almgren establishes that any minimal -sphere immersed in is a totally geodesic equator. In this paper we give a purely geometric extension of Almgren…
Linearity of homogeneous solutions to degenerate elliptic equations in dimension three
Jose A. Galvez, Pablo Mira
Given a linear elliptic equation in , it is a classical problem to determine if its degree-one homogeneous solutions are linear. The answe…
A quasiconformal Hopf soap bubble theorem
Jose A. Galvez, Pablo Mira, Marcos P. Tassi
We show that any compact surface of genus zero in Euclidean 3-space that satisfies a quasiconformal inequality between its principal curvatures is a round sphere. This solves an ol…
Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs
Isabel Fernandez, Jose A. Galvez, Pablo Mira
We prove that any complete, uniformly elliptic Weingarten surface in Euclidean -space whose Gauss map image omits an open hemisphere is a cylinder or a plane. This generalizes a…
Complete surfaces of constant anisotropic mean curvature
Jose A. Galvez, Pablo Mira, Marcos P. Tassi
We study the geometry of complete immersed surfaces in with constant anisotropic mean curvature (CAMC). Assuming that the anisotropic functional is uniformly ellipti…
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…