Abstract
In this paper, we give some stability estimates for the Faber–Krahn inequality relative to the eigenvalue λk(Ω) of the Hessian operator Sk, 1 ≤ k ≤ n, in a reasonable bounded domain Ω. Roughly speaking, we prove that if λk(Ω) is near to λk(B), where B is a ball which preserves an appropriate measure of Ω, then, in a suitable sense, Ω is close to B.
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