Author

Quoc-Hung Nguyen

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Preprint Jul 2026

Singular mean-field limits via a multiscale mollification metric

We consider a general class of first order ODE systems for the evolution of $N$ interacting particles (in Euclidean space $\mathbb{R}^d$) in a mean-field regime. The class of interactions treated includes singular interactions of inverse power type up to power $d+1$, attractive or repulsive, and not necessarily derivin...

Quoc-Hung Nguyen, Sylvia Serfaty · 3 citations

Preprint Aug 2026

Higher Regularity of Homogeneous Gradient Compositions for $p$-Laplace-Type Equations

In this paper, we study higher regularity of homogeneous functions of the gradient of solutions to the inhomogeneous $p$-Laplace equation $\operatorname{div}(|Du|^{p-2}Du)=f$. Although a solution need not be of class $C^2$ across its critical set, its gradient is locally H\"older continuous. Suppose that $Du\in C^{0,\a...

Quoc-Hung Nguyen, Le Xuan Truong · 0 citations