加权Yamabe流下加权p-Laplace算子第一非零特征值的演化OA
Eovlution of the First Nonzero Eigenvalue of Weighted p-Laplace Operator under Weighted Yamabe Flow
首先,用几何分析方法研究规范化或非规范化加权Yamabe流下加权p-Laplace算子的第一非零特征值,得到了其演化方程.其次,作为应用,证明在非规范化加权Yamabe流下,该特征值λp,φ(t)是严格单调增的,在规范化加权Yamabe流下,λp,φ(t)eωt是严格单调增的.
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.
肖静玉;刘建成
西北师范大学数学与统计学院,兰州 730070西北师范大学数学与统计学院,兰州 730070
数理科学
加权Yamabe流加权p-Laplace算子第一非零特征值
weighted Yamabe flowweighted p-Laplace operatorthe first nonzero eigenvalue
《吉林大学学报（理学版）》 2026 (2)
201-207,7
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).
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