吉林大学学报（理学版）2026，Vol.64Issue(2)：201-207,7.DOI:10.13413/j.cnki.jdxblxb.2025151
加权Yamabe流下加权p-Laplace算子第一非零特征值的演化
Eovlution of the First Nonzero Eigenvalue of Weighted p-Laplace Operator under Weighted Yamabe Flow
摘要
Abstract
Firstly,we used geometric analysis methods to study the first nonzero eigenvalue of the weighted p-Laplace operator under the normalized or unnormalized weighted Yamabe flow,and obtained its evolution equations.Secondly,as applications,we prove that under the unnormalized weighted Yamabe flow,the eigenvalueλp,φ(t)strictly monotonically increases,while under the normalized weighted Yamabe flow,λp,φ(t)eωt strictly monotonically increases.关键词
加权Yamabe流/加权p-Laplace算子/第一非零特征值Key words
weighted Yamabe flow/weighted p-Laplace operator/the first nonzero eigenvalue分类
数理科学引用本文复制引用
肖静玉,刘建成..加权Yamabe流下加权p-Laplace算子第一非零特征值的演化[J].吉林大学学报（理学版）,2026,64(2):201-207,7.基金项目
国家自然科学基金(批准号:12161078)和甘肃省基础研究创新群体项目(批准号:24JRRA778). （批准号:12161078）
