Grants per year

## Personal profile

### Research Interests

Calculus of variations, elliptic partial differential equations, geometric analysis.

### Education/Academic qualification

Mathematics, PhD, University of Texas at Austin

… → 2017

Mathematics, MS, University of Texas at Austin

… → 2014

Mathematics, BS, University of South Carolina

… → 2012

## Fingerprint Dive into the research topics where Robin Neumayer is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Sobolev Inequality
Mathematics

Fractional Laplacian
Mathematics

Geometric Analysis
Mathematics

Obstacle Problem
Mathematics

Constant Mean Curvature
Mathematics

Elliptic Partial Differential Equations
Mathematics

Calculus of variations
Mathematics

Extremal Function
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2019 2022

- 1 Active

## Stability of functional and geometric inequalities and applications

7/1/19 → 6/30/22

Project: Research project

Geometric Inequalities

Functional Inequalities

Geometric Analysis

Equality

Harmonic Analysis

## Research Output 2015 2020

- 22 Citations
- 8 Article

## A note on strong-form stability for the Sobolev inequality

Neumayer, R., Feb 1 2020, In : Calculus of Variations and Partial Differential Equations. 59, 1, 25.Research output: Contribution to journal › Article

Sobolev Inequality

Extremal Function

Euclidean space

Form

2
Citations
(Scopus)

## Gradient stability for the Sobolev inequality: The case p ≥ 2

Figalli, A. & Neumayer, R., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 2, p. 319-354 36 p.Research output: Contribution to journal › Article

Sobolev Inequality

Gradient

Extremal Function

Form

1
Citation
(Scopus)

## Bubbling with L ^{2}-Almost Constant Mean Curvature and an Alexandrov-Type Theorem for Crystals

Delgadino, M. G., Maggi, F., Mihaila, C. & Neumayer, R., Dec 1 2018, In : Archive for Rational Mechanics and Analysis. 230, 3, p. 1131-1177 47 p.Research output: Contribution to journal › Article

Constant Mean Curvature

Crystal

Crystalline materials

Crystals

Compactness

## A bridge between Sobolev and Escobar inequalities and beyond

Maggi, F. & Neumayer, R., Sep 15 2017, In : Journal of Functional Analysis. 273, 6, p. 2070-2106 37 p.Research output: Contribution to journal › Article

Trace Inequality

Conformally Flat

Sobolev Inequality

Spherical geometry

Euclidean geometry

7
Citations
(Scopus)

## Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian

Jhaveri, Y. & Neumayer, R., Apr 30 2017, In : Advances in Mathematics. 311, p. 748-795 48 p.Research output: Contribution to journal › Article

Fractional Laplacian

Obstacle Problem

Free Boundary

Regularity

Higher Order