Stability results for some fully nonlinear eigenvalue estimates
Francesco Della Pietra, Nunzia Gavitone
TL;DR
This paper provides stability estimates for the Faber-Krahn inequality specifically related to eigenvalues of Hessian operators, enhancing understanding of how geometric properties influence these eigenvalues.
Contribution
It introduces new stability estimates for the Faber-Krahn inequality in the context of Hessian operator eigenvalues, extending previous results.
Findings
Stability estimates improve understanding of eigenvalue sensitivity.
Results apply to a class of fully nonlinear Hessian operators.
Enhanced bounds for eigenvalue deviations based on geometric perturbations.
Abstract
In this paper, we give some stability estimates for the Faber-Krahn inequality relative to the eigenvalues of Hessian operators
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