Rafael López

collaborators

3 papers

math.DG2026

Separable surfaces that are critical points of the Dirichlet energy

Rafael LÃ³pez

In this paper, we study surfaces $z = I ¨ (x, y)$ in Euclidean space that satisfy the equation $I ¨ _{xx} + I ¨ _{y y} = \frac{I ^}{} 2$ where $Î\in\r$ is a real constant. We classify these surface…

math.DG2026

Geometric aspects of the curve shortening flow in the hyperbolic plane

Ivan KrznariÄ, Rafael LÃ³pez

We define a new notion of translations in the hyperbolic plane and explicitly solve the equation of the curve shortening flow. Next, we consider the class of ancient convex solutio…

math.AP2026

Some minimum principles for a class of nonlinear elliptic problems in divergence form

Cristian Enache, Rafael Lopez

In this paper we study a general class of nonlinear elliptic problems in divergence form. First, we prove that the solutions to these problems satisfy a convexity property when the…