4 papers · 1 filter
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)-Î…
Nonexistence of positive radial solutions for semipositone -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 , , on , for sufficiently large.…
Nonresonance for problems involving -Laplacian equations with nonlinear perturbations
Emer Lopera, Nsoki Mavinga, Diana Sanchez
We study the solvability of -Laplacian problems with nonlinear reaction terms and non-homogeneous Neumann boundary conditions. First, we provide a complete description of th…
Multiplicity results for Schrödinger type fractional -Laplacian boundary value problems
Emer Lopera, Leandro Recôva, Adolfo Rumbos
In this work, we study the existence and multiplicity of solutions for the following problem \begin{equation}\label{probaa1} \left\{ \begin{aligned} -(Î)_{p}^{s} u + V(x)|u|^{p-2}…