Emer Lopera

collaborators

3 papers

math.AP2025

Multiplicity results for non-local operators of elliptic type

Emer Lopera, Leandro RecÃ´va, 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)-Î…

math.AP2025

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

Sigifredo HerrÃ³n, Emer Lopera, Diana SÃ¡nchez

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

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…

Multiplicity results for non-local operators of elliptic type

Nonexistence of positive radial solutions for semipositone I¨-Laplacian problems with superlinear reaction term

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

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

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