Jonah A. J. Duncan

activity

20202026

most citedLocal pointwise second derivative estimates for strong solutions to the

σ_{k}

-Yamabe equation on Euclidean domains

5 citations · 7 across the 11 of their papers we have counts for

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math.DG2024

The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary

Jonah A. J. Duncan, Aditya Kumar

We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related…

math.DG2023

An improved eigenvalue estimate for embedded minimal hypersurfaces in the sphere

Jonah A. J. Duncan, Yannick Sire, Joel Spruck

Suppose that $Σ^{n} \subset S^{n + 1}$ is a closed embedded minimal hypersurface. We prove that the first non-zero eigenvalue $λ_{1}$ of the induced Laplace-Beltrami operator on $…