O. Agudelo

activity

20152019

collaborators

5 papers

math.AP2019

Doubling construction for $O (m) \times O (n)$ -invariant solutions to the Allen-Cahn equation

Oscar Agudelo, Michal Kowalczyk, Matteo Rizzi

We construct new families of two-ended $O (m) \times O (n)$ -invariant solutions to the Allen- Cahn equation Δu+u-u3=0 in $R^{N + 1}$ , with $N \geq 7$ , whose zero level sets diver…

math.AP2018

Existence and Morse Index of least energy nodal solution of the $(p, 2)$ -laplacian

Oscar Agudelo, Daniel Restrepo, Carlos Velez

In this paper we study the quasilinear equation $- \ep^2 Δu-Δ_p u=f(u)$ in a smooth bounded domain $Ω$ with Dirichlet boundary condition. For $\ep \geq 0$, we review existence of a…

math.AP2018

Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions

Oscar Agudelo, Santiago Correa, Daniel Restrepo +1

In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinea…

math.AP2016

Boundary concentration phenomena for the higher-dimensional Keller-Segel system

Oscar Agudelo, Angela Pistoia

We study the existence of steady states to the Keller-Segel system with linear chemotactical sensitivity function on a smooth bounded domain in $R^{N},$ $N \geq 3,$ having rotat…

math.AP2015

Catenoidal layers for the Allen-Cahn equation in bounded domains

O. Agudelo, Manuel del Pino, Juncheng Wei

In this paper we present a new family of solutions to the singularly perturbed Allen-Cahn equation $α^{2} Δ u + u (1 - u^{2}) = 0, in Ω \subset R^{N}$ where $N = 3$ , $Ω$ is a smoot…