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math.DG2026
Separable surfaces that are critical points of the Dirichlet energy
Rafael López
In this paper, we study surfaces in Euclidean space that satisfy the equation where $Λ\in\r$ is a real constant. We classify these surfaces whe…
math.DG2026
Geometric aspects of the curve shortening flow in the hyperbolic plane
Ivan Krznarić, Rafael López
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…