arXiv Open Access 2013

Bounds on the Principal Frequency of the $p$-Laplacian

Guillaume Poliquin

Lihat Sumber

Abstrak

This paper is concerned with the lower bounds for the principal frequency of the $p$-Laplacian on $n$-dimensional Euclidean domains. In particular, we extend the classical results involving the inner radius of a domain and the first eigenvalue of the Laplace operator to the case $p\neq2$. As a by-product, we obtain a lower bound on the size of the nodal set of an eigenfunction of the $p$-Laplacian on planar domains.

Topik & Kata Kunci

math.SP

Penulis (1)

Guillaume Poliquin

Format Sitasi

APA MLA BibTeX

Poliquin, G. (2013). Bounds on the Principal Frequency of the $p$-Laplacian. https://arxiv.org/abs/1304.5131

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓