activity
20132024
most citedA two end family of solutions for the Inhomogeneous Allen-Cahn equation in R^2

6 citations · 8 across the 7 of their papers we have counts for

collaborators

9 papers

math.AP2024

Multiplicity results for a subcritical Hamiltonian system with concave-convex nonlinearities

Oscar Agudelo, Bernhard Ruf, Carlos Velez

We study the {\it Hamiltonian elliptic system} \begin{eqnarray}\label{HS1-abstract} \left\{ \begin{aligned} -Δu & = λ|v|^{r-1}v +|v|^{p-1}v \qquad &\hbox{in} \ \ Ω,\\ -Δv & = μ|u|^…

math.AP2020

An existence result for anisotropic quasilinear problems

Oscar Agudelo, Pavel Drábek

We study existence of solutions for a boundary degenerate (or singular) quasilinear equation in a smooth bounded domain under Dirichlet boundary conditions. We consider a weighted…

math.AP2020★ 2 cited

Spiraling solutions of nonlinear Schrödinger equations

Oscar Agudelo, Joel Kübler, Tobias Weth

We study a new family of sign-changing solutions to the stationary nonlinear Schrödinger equation with an…

math.AP2019

Doubling construction for -invariant solutions to the Allen-Cahn equation

Oscar Agudelo, Michal Kowalczyk, Matteo Rizzi

We construct new families of two-ended -invariant solutions to the Allen- Cahn equation Δu+u-u3=0 in , with , whose zero level sets diver…

math.AP2018

Existence and Morse Index of least energy nodal solution of the -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 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…