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.
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The author wishes to express his gratitude to Jaigyoung Choe for helpful discussions.
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This research was partially supported by NRF-2018R1A2B6004262 and NRF-2020R1A4A3079066.
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Seo, DH. A shape optimization problem for the first mixed Steklov–Dirichlet eigenvalue. Ann Glob Anal Geom 59, 345–365 (2021). https://doi.org/10.1007/s10455-021-09756-7
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DOI: https://doi.org/10.1007/s10455-021-09756-7