Liam Mazurowski

activity

20192022

collaborators

3 papers

math.DG2022

Prescribed Mean Curvature Min-Max Theory in Some Non-Compact Manifolds

Liam Mazurowski

This paper develops a technique for applying one-parameter prescribed mean curvature min-max theory in certain non-compact manifolds. We give two main applications. First, fix a di…

math.DG2020

Cmc Doublings of Minimal Surfaces via Min-Max

Liam Mazurowski

Let $Σ^{2} \subset M^{3}$ be a minimal surface of index 0 or 1. Assume that a neighborhood of $Σ$ can be foliated by constant mean curvature (cmc) hypersurfaces. We use min-max theory…

math.SP2019

A Weyl law for the $p$ -Laplacian

Liam Mazurowski

We show that a Weyl law holds for the variational spectrum of the $p$ -Laplacian. More precisely, let $(λ_{i})_{i = 1}^{\infty}$ be the variational spectrum of $Δ_{p}$ on a closed Riemannia…

Prescribed Mean Curvature Min-Max Theory in Some Non-Compact Manifolds

Cmc Doublings of Minimal Surfaces via Min-Max

A Weyl law for the p-Laplacian

A Weyl law for the $p$ -Laplacian