文献类型：期刊文献

英文题名：Spectral-Threshold and Normalized Solutions for Nonlinear Elliptic Equations on Finite Weighted Graphs

作者：Isneri, Renan J. S.[1];Ji, Chao[2];Miyagaki, Olimpio H.[3]

机构：[1]Univ Fed Campina Grande, Unidade Academ Matemat, BR-58429970 Campina Grande, PB, Brazil;[2]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China;[3]Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

年份：2026

卷号：93

期号：2

外文期刊名：APPLIED MATHEMATICS AND OPTIMIZATION

收录：;EI(收录号：20261220317557);WOS:【SCI-EXPANDED(收录号:WOS:001711692300001)】；

基金：The Article Processing Charge (APC) for the publication of this research was funded by the Coordenac & atilde;o de Aperfeicoamento de Pessoal de Nivel Superior - Brasil (CAPES) (ROR identifier: 00x0ma614). The authors have not disclosed any funding.

语种：英文

外文关键词：Finite weighted graphs; Discrete Laplacian; Nonlinear elliptic equations; Spectral-threshold solutions; Normalized solutions

摘要：In this paper, we study nonlinear elliptic equations on finite weighted graphs from two complementary perspectives. First, we investigate a discrete analogue of the classical Yamabe-type problem, focusing on the existence and nonexistence of spectral-threshold solutions. Secondly, we consider a Schr & ouml;dinger-type equation with prescribed mass and establish the existence and nonexistence of normalized solutions in every L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>2$$\end{document}-growth regime of the nonlinearity, without any restriction on the mass.