Infimum of the spectrum of Laplace-Beltrami operator on Cartan classical domains of type III and IV

作者：Long, Sujuan^*; Zhang, Qiqi; Lin, Guijuan; Shen, Conghui

来源：AIMS Mathematics, 2023, 8(8): 19582-19594.

DOI：10.3934/math.2023999

• Laplace-Beltrami operator
• Cartan classical domains
• Bergman metric

Let RA be the Cartan classical domains of type III and IV, and & UDelta;g is assumed to be the Laplace-Beltrami operator associated to the Bergman metric g on RA. In this paper, we derive an estimate for & lambda;1(& UDelta;g), which is the bottom of the spectrum of & UDelta;g on RA.

• 单位
  南昌航空大学