arXiv Open Access 2018

Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter

Zakaria Fattah Mohamed Berrada

Lihat Sumber

Abstrak

This paper is about a shape optimization problem related to the Dirichlet Laplacian eingevalues in the Euclidean plane. More precisely we study the shape of the minimizer in the class of open sets of constant width. We prove that the disk is not a local minimizer except for a limited number of eigenvalues.

Topik & Kata Kunci

math.SP

Penulis (2)

Zakaria Fattah

Mohamed Berrada

Format Sitasi

APA MLA BibTeX

Fattah, Z., Berrada, M. (2018). Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter. https://arxiv.org/abs/1801.04133

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓