English

A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue

Spectral Theory 2021-02-09 v2 Differential Geometry

Abstract

We consider a shape optimization problem for the first mixed Steklov-Dirichlet eigenvalues of domains bounded by two balls in two-point homogeneous space. We give a geometric proof which is motivated by Newton's shell theorem

Keywords

Cite

@article{arxiv.1909.06579,
  title  = {A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue},
  author = {Dong-Hwi Seo},
  journal= {arXiv preprint arXiv:1909.06579},
  year   = {2021}
}

Comments

Minor changes, 9 figures, 1 table

R2 v1 2026-06-23T11:15:16.121Z