3 papers
eess.SY2026
Data Center Load Reductions: Attribution, Measurement Limits, and Estimation
Abdallah Alalem Albustami, Ahmad F. Taha, Mohammad Alwahdanee +1
Hundreds of gigawatts of data center loads are seeking interconnection in the United States given the massive growth of artificial intelligence and cloud computing. In recent years…
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…