Mathew R. Gluck

activity

20132026

most citedAn extension operator on bounded domains and applications

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2026

Classification of solutions to an $n^{th}$ order conformally invariant elliptic equation on $R^{n}$ with nonlocal nonlinearity

Mathew Gluck, Janani Marasinghe

This paper concerns a conformally invariant elliptic problem on $R^{n}$ driven by $(- Δ)^{n /2}$ that has a nonlocal exponential nonlinearity of Choquard type. The problem unde…

math.AP2017

Subcritical approach to conformally invariant extension operators on the upper half space

Mathew Gluck

In this work we obtain sharp embedding inequalities for a family of conformally invariant integral extension operators. This family includes among others the classical Poisson exte…

math.AP2017★ 3 cited

An extension operator on bounded domains and applications

Mathew Gluck, Meijun Zhu

In this paper we study a sharp Hardy-Littlewood-Sobolev (HLS) type inequality with Riesz potential on bounded smooth domains. We obtain the inequality for a general bounded domain…

math.AP2014

Classification of Solutions to a Critically Nonlinear System of Elliptic Equations on Euclidean Half-Space

Mathew R. Gluck, Lei Zhang

For $N \geq 3$ and non-negative real numbers $a_{ij}$ and $b_{ij}$ ( $i, j = 1, \dots, m$ ), the semi-linear elliptic system \begin{equation*} \begin{cases} Δu_i + \prod_{j = 1}^m u_j^…

math.AP2013

A Harnack-Type Inequality for a Prescribing Curvature equation on a Domain with Boundary

Mathew Gluck, Ying Guo, Lei Zhang

In this paper we consider a class of prescribing curvature type equations on half Euclidean balls. Under suitable assumptions on the scalar curvature function and boundary mean cur…