Emer Lopera

activity

20222025

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math.AP2025

Nonexistence of positive radial solutions for semipositone $ϕ$ -Laplacian problems with superlinear reaction term

Sigifredo Herrón, Emer Lopera, Diana Sánchez

The aim of this paper is to prove the nonexistence of positive radial solutions to the problem $- Δ_{ϕ} u = λ f (u)$ , $x \in B_{1} (0)$ , $u (x) = 0$ on $∣ x ∣ = 1$ , for $λ > 0$ sufficiently large. Here…

math.AP2025

Nonresonance for problems involving $(p, q)$ -Laplacian equations with nonlinear perturbations

Emer Lopera, Nsoki Mavinga, Diana Sanchez

We study the solvability of $(p, q)$ -Laplacian problems with nonlinear reaction terms and non-homogeneous Neumann boundary conditions. First, we provide a complete description of th…

math.AP2025

Multiplicity results for non-local operators of elliptic type

Emer Lopera, Leandro Recôva, Adolfo Rumbos

In this paper, we study a class of problems proposed by Servadei and Valdinoci in \cite{Ser3}; namely, \begin{equation}\label{prob_0} \left\{\begin{aligned} -\mathcal{L}_{K} u(x)-λ…

Nonexistence of positive radial solutions for semipositone ϕ-Laplacian problems with superlinear reaction term

Nonresonance for problems involving (p,q)-Laplacian equations with nonlinear perturbations

Multiplicity results for non-local operators of elliptic type

Nonexistence of positive radial solutions for semipositone $ϕ$ -Laplacian problems with superlinear reaction term

Nonresonance for problems involving $(p, q)$ -Laplacian equations with nonlinear perturbations