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Sharp estimates for the Robin Laplacian under a perimeter constraint in hyperbolic space

Chen, Daguang et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
In this paper, we establish a quantitative lower bound, expressed in terms of the isoperimetric deficit, for the normalized first eigenvalue deficit of the Robin Laplacian with a negative boundary parameter on bounded horospherically convex domains in hyperbolic space. As a consequence, the geodesic
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