Approximation theorem for principle eigenvalue of discrete p-Laplacian

作者：Li, Yueshuang^*

来源：Frontiers of Mathematics in China, 2018, 13(5): 1045-1061.

DOI：10.1007/s11464-018-0717-9

• Principle eigenvalue
• weighted p-Laplacian
• inverse iteration
• approximation theorem

For the principle eigenvalue of discrete weighted p-Laplacian on the set of nonnegative integers, the convergence of an approximation procedure and the inverse iteration is proved. Meanwhile, in the proof of the convergence, the monotonicity of an approximation sequence is also checked. To illustrate these results, some examples are presented.

• 出版日期2018-10
• 单位北京师范大学