A Perron-type Theorem on the Principal Eigenvalue of Nonsymmetric Elliptic Operators

作者:Ni Lei*
来源:American Mathematical Monthly, 2014, 121(10): 903-908.
DOI:10.4169/amer.math.monthly.121.10.903

摘要

We provide a proof for a Perron-type theorem on the principal eigenvalue of non-symmetric elliptic operators based on the strong maximum principle. This proof is modeled after a variational proof of Perron's theorem for matrices with positive entries that does not appeal to Perron Frobenius theory.

  • 出版日期2014-12