2 papers
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…
math.AP2024
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} -(Δ)_{p}^{s} u + V(x)|u|^{p-2}u…