arXiv Open Access 2024

The Hadamard variational formula for Riesz capacity and its applications

Lu Zhang

Lihat Sumber

Abstrak

In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variational formula for Riesz capacity of convex bodies. As a meaningful application, we derive a Serrin-type symmetry result for an overdetermined problem.

Topik & Kata Kunci

math.AP

Penulis (1)

Lu Zhang

Format Sitasi

APA MLA BibTeX

Zhang, L. (2024). The Hadamard variational formula for Riesz capacity and its applications. https://arxiv.org/abs/2404.04060

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓