【摘要】 考虑双曲空间上加权双调和算子的特征值估计,通过使用Rayleigh-Ritz不等式,建立了用前k个特征值估计第k+1个特征值的表达式,此表达式不依赖区域的大小和形状.更多还原

【Abstract】 This paper studies estimates on eigenvalues for the biharmonic operator with a weight on the Hyperbolic space.By virtue of the Rayleigh-Ritz inequality,the study has obtained that bounds on the(k+1)-th eigenvalues in terms of the first k eigenvalues which are independent of the domains.更多还原