3 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.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…