13 citations · 54 across the 30 of their papers we have counts for
39 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…
Annular solutions to the partitioning problem in a ball
Alberto Cerezo, Isabel Fernandez, Pablo Mira
For any , , we construct a real analytic, one-parameter family of compact embedded CMC annuli with free boundary in the unit ball of $\math…
Free boundary minimal annuli immersed in the unit ball
Isabel Fernandez, Laurent Hauswirth, Pablo Mira
We construct a family of compact free boundary minimal annuli immersed in the unit ball of , the first such examples other than the critical catenoid.…
Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem
Isabel Fernandez, Pablo Mira
We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in that satisfies an arbitrary elliptic Weingarten…
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…