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

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2 papers · 1 filter

math.AP2025

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

Jonah A. J. Duncan, Luc Nguyen

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

math.AP2025

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates

Jonah A. J. Duncan, Luc Nguyen

In this paper we give a complete classification of positive viscosity solutions $w$ to conformally invariant equations of the form \begin{align}\label{ab}\tag{ $*$ } \begin{cases} f(…

The σk​-Loewner-Nirenberg problem on Riemannian manifolds for k=2n​ and beyond

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates

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