Robin Neumayer

  • 22 Citations
20152022
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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

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Grants 2019 2022

Geometric Inequalities
Functional Inequalities
Geometric Analysis
Equality
Harmonic Analysis

Research Output 2015 2020

  • 22 Citations
  • 8 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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Fractional Laplacian
Obstacle Problem
Free Boundary
Regularity
Higher Order