papers

Publications (32)

math.AP2019

Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional

Max Engelstein, Luca Spolaor, Bozhidar Velichkov

math.AP2016

A Two-Phase Free Boundary Problem for Harmonic Measure

Max Engelstein

math.AP2025

Robin Green Function Estimates and a Model of Mammalian Lungs

Guy David, Stefano Decio, Max Engelstein +3

math.DG2009

The Least-Perimeter Partition of a Sphere into Four Equal Areas

Max Engelstein

math.AP2025

On the asymptotic properties of solutions to one-phase free boundary problems

Max Engelstein, Daniel Restrepo, Zihui Zhao

math.AP2024

Dimension and structure of the Robin Harmonic Measure on Rough Domains

Guy David, Stefano Decio, Max Engelstein +2

math.AP2021

Łojasiewicz Inequalities and Generic Smoothness of Nodal Sets of Solutions to Elliptic PDE

Matthew Badger, Max Engelstein, Tatiana Toro

math.AP2022

Quantitative Stability for Minimizing Yamabe Metrics

Max Engelstein, Robin Neumayer, Luca Spolaor

math.AP2017

Quantitative stratification for some free-boundary problems

Nick Edelen, Max Engelstein

math.AP2017

Parabolic NTA domains in

Max Engelstein

math.AP2019

Minimizers for the thin one-phase free boundary problem

Max Engelstein, Aapo Kauranen, Martí Prats +2

math.AP2018

(Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents

Max Engelstein, Luca Spolaor, Bozhidar Velichkov

math.AP2015

A Free Boundary Problem for the Parabolic Poisson Kernel

Max Engelstein

math.CA2025

Unique continuation for locally uniformly distributed measures

Max Engelstein, Ignasi Guillén-Mola

math.CA2022

Non-local distance functions and geometric regularity

Max Engelstein, Cole Jeznach, Svitlana Mayboroda

math.AP2026

Singular set estimates for solutions to elliptic equations in higher co-dimension

Max Engelstein, Cole Jeznach, Yannick Sire

math.AP2019

Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data

Matthew Badger, Max Engelstein, Tatiana Toro

math.AP2021

Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries

Guido De Philippis, Max Engelstein, Luca Spolaor +1

math.AP2022

Branch Points for (Almost-)Minimizers of Two-Phase Free Boundary Problems

Guy David, Max Engelstein, Mariana Smit Vega Garcia +1

math.AP2023

Graphical solutions to one-phase free boundary problems

Max Engelstein, Xavier Fernández-Real, Hui Yu

math.CA2017

Reifenberg Flatness and Oscillation of the Unit Normal Vector

Simon Bortz, Max Engelstein

math.AP2022

Non-Uniqueness of Bubbling for Wave Maps

Max Engelstein, Dana Mendelson

math.AP2025

Regularity of the free boundary for the supercooled Stefan problem in arbitrary dimensions

Max Engelstein, Inwon Kim, Sebastian Munoz

math.CA2017

Structure of sets which are well approximated by zero sets of harmonic polynomials

Matthew Badger, Max Engelstein, Tatiana Toro

math.CA2020

Two Phase Free Boundary Problem for Poisson Kernels

Simon Bortz, Max Engelstein, Max Goering +2

math.AP2026

What is ... Robin harmonic measure?

Max Engelstein, Marcel Filoche, Svitlana Mayboroda

cs.LG2026

Recovering Sharp Conductivity Features in the Finite-Data Calderón Problem with Physics-Informed Neural Networks

Ali AlHadi Kalout, Pablo Tejerina-Pérez, Konstantin Karchev +5

math.AP2020

Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals

Guy David, Max Engelstein, Mariana Smit Vega Garcia +1

math.AP2022

Slowly vanishing mean oscillations: non-uniqueness of blow-ups in a two-phase free boundary problem

Matthew Badger, Max Engelstein, Tatiana Toro

math.AP2020

Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one

Guy David, Max Engelstein, Svitlana Mayboroda

math.AP2019

Free Boundary Regularity for Almost-Minimizers

Guy David, Max Engelstein, Tatiana Toro

math.DG2019

The Riemannian Quantitative Isoperimetric Inequality

Otis Chodosh, Max Engelstein, Luca Spolaor