Oscar Ivan Agudelo Rico

collaborators

2 papers

math.DG2025

Fredholm properties of the jacobi Operator of minimal conical hypersurfaces

Oscar Ivan Agudelo Rico, Matteo Rizzi

In this paper we study non-degeneracy properties of $Σ$ via the Jacobi operator $J_{Σ} := Δ_{Σ} + ∣ A_{Σ} ∣^{2}$ of a given minimal hypersurface $Σ$ asymptotic to a cone $C\subset \mathbb{R}^{N+…

math.AP2021

k-ended $O (m) t im es O (n)$ invariant solutions to the Allen-Cahn equation with infinite Morse index

Oscar Ivan Agudelo Rico, Matteo Rizzi

In this work we study existence, asymptotic behaviour and stability properties of $O (m) t im es O (n)$ invariant solutions of the Allen-Cahn equation $D e l t a u + u (1 - u^{2}) = 0$ in $R^m time…

Fredholm properties of the jacobi Operator of minimal conical hypersurfaces

k-ended O(m)timesO(n) invariant solutions to the Allen-Cahn equation with infinite Morse index

k-ended $O (m) t im es O (n)$ invariant solutions to the Allen-Cahn equation with infinite Morse index