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

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023★ 2 cited

The $σ_{k}$ -Loewner-Nirenberg problem on Riemannian manifolds for $k < \frac{n}{2}$

Jonah A. J. Duncan, Luc Nguyen

Let $(M^{n}, g_{0})$ be a smooth compact Riemannian manifold of dimension $n \geq 3$ with non-empty boundary $\partial M$ . Let $Γ \subset R^{n}$ be a symmetric convex cone and $f$ a…

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 $…

math.AP2023

Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates

Jonah A. J. Duncan

We obtain a priori local pointwise second derivative estimates for solutions $u$ to a class of augmented Hessian equations on Riemannian manifolds, in terms of the $C^{1}$ norm and c…

The σk​-Loewner-Nirenberg problem on Riemannian manifolds for k<2n​

An improved eigenvalue estimate for embedded minimal hypersurfaces in the sphere

Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates

The $σ_{k}$ -Loewner-Nirenberg problem on Riemannian manifolds for $k < \frac{n}{2}$