4 papers
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. Here…
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 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…
Existence of positive solutions for a parameter fractional -Laplacian problem with semipositone nonlinearity
Emer Lopera, Camila López, Raúl E. Vidal
In this paper we prove the existence of at least one positive solution for the nonlocal semipositone problem \[ \displaystyle \left\{\begin{array}{rcll} (-Δ)_p^s(u) &=& λf(u) \qqua…